Presentation of data

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Presentation of data"

Transcription

1 2 Presentation of data Using various types of graph and chart to illustrate data visually In this chapter we are going to investigate some basic elements of data presentation. We shall look at ways in which collections of data can be presented in an appealing way to give us a visual indication or summary of what the overall data is telling us. Key topics Analysing data Plotting graphs Drawing charts Key terms line graph scatter graph correlation bar chart histogram pie chart Line graphs When you have a series of measurements taken over time, they are often represented as a line graph. This involves plotting all the points on a graph, and then connecting them together from one point to the next. You often see this sort of graph in the news for example, showing the interest rate over the past few months or years. Here are the UK inflation rates for an 18-month period in 2009/10 (you can obtain these figures, along with numerous other data, from the Office for National Statistics). Jan 09 Feb 09 Mar 09 Apr 09 May 09 Jun 09 Jul 09 Aug 09 Sep Oct 09 Nov 09 Dec 09 Jan 10 Feb 10 Mar 10 Apr 10 May 10 Jun Presentation of data 11

2 To plot these on a graph, you need to create two axes, one going horizontally across (which will represent our months), and one going vertically up (which will represent the inflation rate). Note that you should label the axes clearly as to what corresponds to what. For each month, go up to the appropriate inflation rate and mark the point with a cross, or a solid point, or some other clear symbol. For example, to plot the first value, go to the label for Jan 09, and then go up until you reach 3.0, marking it in some way. Once you have filled in all the values, connect them together with a series of straight lines, as in Figure 2.1. Your graph may well look different, because you will probably choose different scales, titles, labels and so on, but this will give you an indication of what it should look like Inflation rate (%) Jan 09 Apr 09 Jul 09 Oct 09 Jan 10 Apr 10 Jul 10 Month Figure 2.1 Example of a line graph It s more obvious from this graph what the overall trend was, rather than just looking at a long list of numbers. You get the impression that the rate fell rapidly and then recovered, which is not as easy to tell from a simple, raw list of data and numbers. For any set of data that is taken over a period of time at regular intervals, a line graph is usually a good way to show the overall trend. Scattergraphs A scattergraph is what you get when you simply plot every point on the graph without making any attempt to connect them together. You 12 Introductory statistics

3 can use it for data when both the x (horizontal) and y (vertical) axes of the graph can take a range of values (not necessarily in order of time just a random collection of data). If the data is scattered widely, then there appears to be no correlation (relationship) between the two things. If they form something close to a line, then there is a good correlation. For example, the following data might have been obtained by recording people s height (in metres) and their weight (in kg). Height (m) Weight (kg) On a scattergraph this could be plotted as shown in Figure 2.2. Note the scale: why start at 1.4, not 0? There appears to be a strong correlation between height and weight: they seem to fall pretty well in a line. This is what you might expect: you would expect taller people to weigh more Weight (kg) Height (m) Figure 2.2 Example of a scattergraph showing a positive correlation If the data lies in an upward line like this (so that as one thing gets bigger, so does the other), you would say that there is a positive correlation between the two things. If the data slopes the other way (so that as one thing gets bigger, the other gets smaller) you would say that there is a negative correlation. The words strong and weak are used for correlations. Where the two things are, clearly, very closely linked, you would say it is a strong Presentation of data 13

4 correlation, whereas if there is some connection, but it is small, you would say it is a weak correlation. Things aren t always correlated. Here is data analysing the same people with the number of shirts they own: Height (m) No. of shirts Again draw a graph (Figure 2.3). This time there doesn t appear to be a connection: the points are scattered everywhere, and they don t lie in anything like a line. Again, this is probably what you would expect: why should a person s height relate to how many shirts they have? Hence there is no correlation here Shirts Height (m) Figure 2.3 Example of a scattergraph showing no correlation Also note that there would be no point in drawing a line between the points here in these sorts of graph. We use a line graph when we have a series of measurements taken over time, but for a general set of measurements with no time flow to them, we just use a scattergraph. Bar charts When the data you get can be classified into a small number of categories, you can often usefully express it as a bar chart. 14 Introductory statistics

5 For example, suppose a survey was done of people s eye colour, and the following results were obtained: Blue: 32 people Brown: 78 people Green: 6 people To plot this as a graph, label the horizontal axis with blue, brown and green, and then draw bars for each one to represent the appropriate number. You should get a graph that looks something like Figure Number Blue Brown Green Colour Figure 2.4 Example of a bar chart You can do this in other ways as well. For example, you might put the colours on the vertical axis and draw horizontal bars, or you might colour-code the bars, or you might draw them without gaps between the bars. It doesn t really matter; choose the method of presentation that suits what you want to present the best. The word histogram is often used instead of bar chart. Although it does have a precise mathematical meaning, most people use it interchangeably for bar chart, and you can assume that a histogram is simply a bar chart as we have drawn here. Presentation of data 15

6 Pie charts A pie chart is a way of representing proportions. For example, suppose 50 people were surveyed and asked their views on a product. The results were as follows: Very good: 23 Good: 11 Average: 8 Poor: 6 Very poor: 2 To draw these figures on a pie chart, we are going to divide a circle into segments corresponding to the options: the larger the segment, the more people chose the option that it represents. A circle is made up of 360 degrees (written as 360 ). You should know how to use a protractor to measure an angle; if you don t know, then ask someone to show you how to use it. Do get hold of a basic maths set, with a ruler, protractor, set square, etc. You can buy them cheaply from standard stationery/ discount stores. They can come in useful, even at times you don t expect; there are lots of times you just want a ruler to draw a straight line, for example. The proportion of people who opted for very good is A circle has 360 in it. The technique to follow is to convert this to the corresponding proportion of 360: this is the number of degrees that the very good segment should occupy. Do this: Work out the proportion as a decimal on your calculator. In this case we get 23/ Multiply this number by 360 on your calculator; you get So the very good segment should be Similarly, you will find that the good segment should be 79.2, the average segment should be 57.6, the poor segment should be 43.2, and the very poor segment should be Introductory statistics

7 Figure 2.5 Example of a pie chart showing the vertical radius only Draw a circle, and draw a vertical radius (a line from the centre to the edge) (Figure 2.5). Now, carefully, with a protractor draw the very good segment, so it should form an angle of You get something like Figure 2.6. very good Figure 2.6 Example of a pie chart showing the very good segment only Continue like this for each segment. Label each segment clearly. When you are presenting a pie chart as part of a formal document, we recommend you use a different colour for each segment. Sometimes in pie charts we would also include the numbers or, more commonly, the percentage of people making each choice, as in Figure 2.7 (you should check for yourself that the percentages are correct). Presentation of data 17

8 poor 12% very poor 4% average 16% very good 46% good 22% Figure 2.7 Example of a pie chart showing all segments and percentages Summary It is vital to present data in an easy-to-understand way. When people see the results of a by-election, for example, most of them don t particularly want to see the actual number of votes cast for each candidate; they want them expressed in a visual format that makes the result jump out at them. Similarly, not everyone can see immediately what a series of inflation rate figures mean, but a picture shows the trend. People don t want to understand long lists of figures; they want a simple picture summarising them. In a sense, this is what statistics is all about. When presenting data, use the most appropriate form, but also try to catch the attention of the audience who are looking at it whether this be in a report, or in a presentation, or in whatever form you are presenting your results. Good use of colours can help attract people, and by drawing attention to the main features you want understood, you can use the statistics to highlight clearly what you want to say. Of course, keep things simple, and don t confuse people, but good choices of colours and presentation methods can very effectively sell your message. 18 Introductory statistics

9 Exercises 1 (a) Present the following data showing the number of eggs laid on a chicken farm each day as a line graph: Day Eggs (b) Present the following data showing the interest rate of a credit card over 12 months as a line graph: Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Rate The following data shows the average temperature in successive weeks, and the corresponding figures for sales of drinks and batteries in a store. Plot the data on two scattergraphs: (a) one for temperature and drinks, and (b) one for temperature and batteries. Does there appear to be a correlation in either case? Temperature Drinks Batteries (a) In a survey of an online shop, the percentages of people rating the quality of the shopping experience in various categories were: Excellent: 26% Good: 43% Average: 12% Poor: 13% Very poor: 6% Plot this information as a bar chart and as a pie chart. (b) In an election for a class representative, the 40 votes were cast as: Alex: 3 votes Bina: 19 votes Chloe: 12 votes Darren: 6 votes. Plot this information as a bar graph and as a pie chart. Presentation of data 19

HOSPIRA (HSP US) HISTORICAL COMMON STOCK PRICE INFORMATION

HOSPIRA (HSP US) HISTORICAL COMMON STOCK PRICE INFORMATION 30-Apr-2004 28.35 29.00 28.20 28.46 28.55 03-May-2004 28.50 28.70 26.80 27.04 27.21 04-May-2004 26.90 26.99 26.00 26.00 26.38 05-May-2004 26.05 26.69 26.00 26.35 26.34 06-May-2004 26.31 26.35 26.05 26.26

More information

Median and Average Sales Prices of New Homes Sold in United States

Median and Average Sales Prices of New Homes Sold in United States Jan 1963 $17,200 (NA) Feb 1963 $17,700 (NA) Mar 1963 $18,200 (NA) Apr 1963 $18,200 (NA) May 1963 $17,500 (NA) Jun 1963 $18,000 (NA) Jul 1963 $18,400 (NA) Aug 1963 $17,800 (NA) Sep 1963 $17,900 (NA) Oct

More information

THE UNIVERSITY OF BOLTON

THE UNIVERSITY OF BOLTON JANUARY Jan 1 6.44 8.24 12.23 2.17 4.06 5.46 Jan 2 6.44 8.24 12.24 2.20 4.07 5.47 Jan 3 6.44 8.24 12.24 2.21 4.08 5.48 Jan 4 6.44 8.24 12.25 2.22 4.09 5.49 Jan 5 6.43 8.23 12.25 2.24 4.10 5.50 Jan 6 6.43

More information

Make Your Numbers Count Killer Charts in Three Easy Steps

Make Your Numbers Count Killer Charts in Three Easy Steps Make Your Numbers Count Killer Charts in Three Easy Steps 9909 Mira Mesa Blvd. San Diego, CA 92131 Phone: 858-225-3374 Toll Free: 800-817-4271 Fax: 858-225-3390 www.smartdraw.com Making Numbers Come to

More information

S&P Year Rolling Period Total Returns

S&P Year Rolling Period Total Returns S&P 500 10 Year Rolling Period Total Returns Summary: 1926 June 2013 700% 600% 500% 400% 300% 200% 100% 0% 100% Scatter chart of all 931 ten year periods. There were 931 ten year rolling periods from January

More information

WHICH TYPE OF GRAPH SHOULD YOU CHOOSE?

WHICH TYPE OF GRAPH SHOULD YOU CHOOSE? PRESENTING GRAPHS WHICH TYPE OF GRAPH SHOULD YOU CHOOSE? CHOOSING THE RIGHT TYPE OF GRAPH You will usually choose one of four very common graph types: Line graph Bar graph Pie chart Histograms LINE GRAPHS

More information

Business Statistics & Presentation of Data BASIC MATHEMATHICS MATH0101

Business Statistics & Presentation of Data BASIC MATHEMATHICS MATH0101 Business Statistics & Presentation of Data BASIC MATHEMATHICS MATH0101 1 STATISTICS??? Numerical facts eg. the number of people living in a certain town, or the number of cars using a traffic route each

More information

NASA Explorer Schools Pre-Algebra Unit Lesson 2 Student Workbook. Solar System Math. Comparing Mass, Gravity, Composition, & Density

NASA Explorer Schools Pre-Algebra Unit Lesson 2 Student Workbook. Solar System Math. Comparing Mass, Gravity, Composition, & Density National Aeronautics and Space Administration NASA Explorer Schools Pre-Algebra Unit Lesson 2 Student Workbook Solar System Math Comparing Mass, Gravity, Composition, & Density What interval of values

More information

AT&T Global Network Client for Windows Product Support Matrix January 29, 2015

AT&T Global Network Client for Windows Product Support Matrix January 29, 2015 AT&T Global Network Client for Windows Product Support Matrix January 29, 2015 Product Support Matrix Following is the Product Support Matrix for the AT&T Global Network Client. See the AT&T Global Network

More information

NAV HISTORY OF DBH FIRST MUTUAL FUND (DBH1STMF)

NAV HISTORY OF DBH FIRST MUTUAL FUND (DBH1STMF) NAV HISTORY OF DBH FIRST MUTUAL FUND () Date NAV 11-Aug-16 10.68 8.66 0.38% -0.07% 0.45% 3.81% 04-Aug-16 10.64 8.66-0.19% 0.87% -1.05% 3.76% 28-Jul-16 10.66 8.59 0.00% -0.34% 0.34% 3.89% 21-Jul-16 10.66

More information

Creating and Analyzing a Survey

Creating and Analyzing a Survey Creating and Analyzing a Survey Collect, organize, and display the results of a survey. Trudy wants to know about TV-watching habits of students in her school. She wrote a question for a survey.. How often

More information

Dŵr y Felin Comprehensive School. Data Handling Methodology Booklet

Dŵr y Felin Comprehensive School. Data Handling Methodology Booklet Dŵr y Felin Comprehensive School Data Handling Methodology Booklet Data Handling When representing data the following steps are followed Step 1 Step 2 Step 3 Step 4 Conducting a survey to obtain the data

More information

COMPARISON OF FIXED & VARIABLE RATES (25 YEARS) CHARTERED BANK ADMINISTERED INTEREST RATES - PRIME BUSINESS*

COMPARISON OF FIXED & VARIABLE RATES (25 YEARS) CHARTERED BANK ADMINISTERED INTEREST RATES - PRIME BUSINESS* COMPARISON OF FIXED & VARIABLE RATES (25 YEARS) 2 Fixed Rates Variable Rates FIXED RATES OF THE PAST 25 YEARS AVERAGE RESIDENTIAL MORTGAGE LENDING RATE - 5 YEAR* (Per cent) Year Jan Feb Mar Apr May Jun

More information

COMPARISON OF FIXED & VARIABLE RATES (25 YEARS) CHARTERED BANK ADMINISTERED INTEREST RATES - PRIME BUSINESS*

COMPARISON OF FIXED & VARIABLE RATES (25 YEARS) CHARTERED BANK ADMINISTERED INTEREST RATES - PRIME BUSINESS* COMPARISON OF FIXED & VARIABLE RATES (25 YEARS) 2 Fixed Rates Variable Rates FIXED RATES OF THE PAST 25 YEARS AVERAGE RESIDENTIAL MORTGAGE LENDING RATE - 5 YEAR* (Per cent) Year Jan Feb Mar Apr May Jun

More information

Data Handling Progression in Maths. May 2014

Data Handling Progression in Maths. May 2014 Data Handling Progression in Maths May 2014 Purpose of Policy Data handling is a significant part of the Mathematics Primary Curriculum. This policy will form the basis upon which we map out the learning

More information

Diagrams and Graphs of Statistical Data

Diagrams and Graphs of Statistical Data Diagrams and Graphs of Statistical Data One of the most effective and interesting alternative way in which a statistical data may be presented is through diagrams and graphs. There are several ways in

More information

Chapter 1: Using Graphs to Describe Data

Chapter 1: Using Graphs to Describe Data Department of Mathematics Izmir University of Economics Week 1 2014-2015 Introduction In this chapter we will focus on the definitions of population, sample, parameter, and statistic, the classification

More information

Chapter 22: Exchange in Capital Markets

Chapter 22: Exchange in Capital Markets Chapter 22: Exchange in Capital Markets 22.1: Introduction We are now in a position to examine trade in capital markets. We know that some people borrow and some people save. After a moment s reflection

More information

Graphical methods for presenting data

Graphical methods for presenting data Chapter 2 Graphical methods for presenting data 2.1 Introduction We have looked at ways of collecting data and then collating them into tables. Frequency tables are useful methods of presenting data; they

More information

approximate number of Dm

approximate number of Dm Q. These two graphs convert pounds ( ) to Deutschmarks (Dm) and pounds ( ) to dollars ($). Use the graphs to complete the table. number of approximate number of Dm approximate number of $ 0 200 0 0 2 marks

More information

How to Construct a Seasonal Index

How to Construct a Seasonal Index How to Construct a Seasonal Index Methods of Constructing a Seasonal Index There are several ways to construct a seasonal index. The simplest is to produce a graph with the factor being studied (i.e.,

More information

Numeracy and mathematics Experiences and outcomes

Numeracy and mathematics Experiences and outcomes Numeracy and mathematics Experiences and outcomes My learning in mathematics enables me to: develop a secure understanding of the concepts, principles and processes of mathematics and apply these in different

More information

Bexley Selection Tests. Specimen Questions - Mathematics. Answers and Comments for Parents

Bexley Selection Tests. Specimen Questions - Mathematics. Answers and Comments for Parents Bexley Selection Tests Specimen Questions - Mathematics Answers and Comments for Parents Question 1 A This is the correct answer, well done! B, C, D, E This is not the correct answer. This is one way of

More information

Case 2:08-cv-02463-ABC-E Document 1-4 Filed 04/15/2008 Page 1 of 138. Exhibit 8

Case 2:08-cv-02463-ABC-E Document 1-4 Filed 04/15/2008 Page 1 of 138. Exhibit 8 Case 2:08-cv-02463-ABC-E Document 1-4 Filed 04/15/2008 Page 1 of 138 Exhibit 8 Case 2:08-cv-02463-ABC-E Document 1-4 Filed 04/15/2008 Page 2 of 138 Domain Name: CELLULARVERISON.COM Updated Date: 12-dec-2007

More information

Microsoft Excel II Graphs and Charts

Microsoft Excel II Graphs and Charts Microsoft Excel II Graphs and Charts Table of Contents *All tips are based on Microsoft Office 2007. Table of Contents... 1 Sorting data... 2 Microsoft Excel... 2 Sort 1 column... 2 Sort by 1 column...

More information

Sheffield Hallam University. Faculty of Health and Wellbeing Professional Development 1 Quantitative Analysis. Glossary

Sheffield Hallam University. Faculty of Health and Wellbeing Professional Development 1 Quantitative Analysis. Glossary Sheffield Hallam University Faculty of Health and Wellbeing Professional Development 1 Quantitative Analysis Glossary 2 Using the Glossary This does not set out to tell you everything about the topics

More information

Bar Charts, Histograms, Line Graphs & Pie Charts

Bar Charts, Histograms, Line Graphs & Pie Charts Bar Charts and Histograms Bar charts and histograms are commonly used to represent data since they allow quick assimilation and immediate comparison of information. Normally the bars are vertical, but

More information

Key Stage 2 Mathematics Reasoning: Pack 2 Test 2b

Key Stage 2 Mathematics Reasoning: Pack 2 Test 2b Key Stage 2 Mathematics Reasoning: Pack 2 Test 2b Name Date 35 total marks twinkl.co.uk. You may photocopy. Name: Key Stage 2 Maths Reasoning: Pack 2 Test 2b Date: 35 total marks. Here is a quadrilateral.

More information

Other useful guides from Student Learning Development: Histograms, Pie charts, Presenting numerical data

Other useful guides from Student Learning Development: Histograms, Pie charts, Presenting numerical data Student Learning Development Bar charts This guide explains what bar charts are and outlines the different ways in which they can be used to present data. It also provides some design tips to ensure that

More information

satspapers.org Year 9 mathematics test

satspapers.org Year 9 mathematics test Ma KeY STAGe 3 Year 9 mathematics test Tier 4 6 Paper 1 Calculator not allowed First name Last name Class Date Please read this page, but do not open your booklet until your teacher tells you to start.

More information

Appendix E: Graphing Data

Appendix E: Graphing Data You will often make scatter diagrams and line graphs to illustrate the data that you collect. Scatter diagrams are often used to show the relationship between two variables. For example, in an absorbance

More information

Can Gas Prices be Predicted?

Can Gas Prices be Predicted? Can Gas Prices be Predicted? Chris Vaughan, Reynolds High School A Statistical Analysis of Annual Gas Prices from 1976-2005 Level/Course: This lesson can be used and modified for teaching High School Math,

More information

III. GRAPHICAL METHODS

III. GRAPHICAL METHODS Pie Charts and Bar Charts: III. GRAPHICAL METHODS Pie charts and bar charts are used for depicting frequencies or relative frequencies. We compare examples of each using the same data. Sources: AT&T (1961)

More information

Chapter 14: Production Possibility Frontiers

Chapter 14: Production Possibility Frontiers Chapter 14: Production Possibility Frontiers 14.1: Introduction In chapter 8 we considered the allocation of a given amount of goods in society. We saw that the final allocation depends upon the initial

More information

APES Math Review. For each problem show every step of your work, and indicate the cancellation of all units No Calculators!!

APES Math Review. For each problem show every step of your work, and indicate the cancellation of all units No Calculators!! APES Math Review For each problem show every step of your work, and indicate the cancellation of all units No Calculators!! Scientific Notation All APES students should be able to work comfortably with

More information

Analysis One Code Desc. Transaction Amount. Fiscal Period

Analysis One Code Desc. Transaction Amount. Fiscal Period Analysis One Code Desc Transaction Amount Fiscal Period 57.63 Oct-12 12.13 Oct-12-38.90 Oct-12-773.00 Oct-12-800.00 Oct-12-187.00 Oct-12-82.00 Oct-12-82.00 Oct-12-110.00 Oct-12-1115.25 Oct-12-71.00 Oct-12-41.00

More information

Mathematics Content: Pie Charts; Area as Probability; Probabilities as Percents, Decimals & Fractions

Mathematics Content: Pie Charts; Area as Probability; Probabilities as Percents, Decimals & Fractions Title: Using the Area on a Pie Chart to Calculate Probabilities Mathematics Content: Pie Charts; Area as Probability; Probabilities as Percents, Decimals & Fractions Objectives: To calculate probability

More information

Year 1 Maths Expectations

Year 1 Maths Expectations Times Tables I can count in 2 s, 5 s and 10 s from zero. Year 1 Maths Expectations Addition I know my number facts to 20. I can add in tens and ones using a structured number line. Subtraction I know all

More information

There are some general common sense recommendations to follow when presenting

There are some general common sense recommendations to follow when presenting Presentation of Data The presentation of data in the form of tables, graphs and charts is an important part of the process of data analysis and report writing. Although results can be expressed within

More information

Leave blank unless Formatting as Table. Data labels

Leave blank unless Formatting as Table. Data labels Type a data table from which to create a chart Type the data to be used for a chart like this: 1992 1993 Bird 3 2 Cat 21 29 Dog 24 12 Other 4 No Pet 25 24 Leave blank unless Formatting as Table Data labels

More information

Reading. Graphs, Charts, Tables, and Timelines. Tips for. Reading. Graphs. Section III Tips on Reading Specific Text. Before You Read.

Reading. Graphs, Charts, Tables, and Timelines. Tips for. Reading. Graphs. Section III Tips on Reading Specific Text. Before You Read. Section III Tips on Specific Text Graphs, Charts, Tables, and Timelines Often, textbooks, reference books, and articles have data represented in charts, tables, graphs, or timelines. Important information

More information

ANNEXURE 1 STATUS OF 518 DEMAT REQUESTS PENDING WITH NSDL

ANNEXURE 1 STATUS OF 518 DEMAT REQUESTS PENDING WITH NSDL ANNEXURE 1 STATUS OF 518 DEMAT REQUESTS PENDING WITH NSDL Sr. No. Demat Request No.(DRN) DP ID Client ID Date of Demat Request Received Quantity Requested Date of Demat Request Processed No. of days of

More information

Consultation paper Presenting data in graphs, charts and tables science subjects

Consultation paper Presenting data in graphs, charts and tables science subjects Consultation paper Presenting data in graphs, charts and tables science subjects This edition: November 2015 (version 1.0) Scottish Qualifications Authority 2015 Contents Presenting data in graphs, charts

More information

Enhanced Vessel Traffic Management System Booking Slots Available and Vessels Booked per Day From 12-JAN-2016 To 30-JUN-2017

Enhanced Vessel Traffic Management System Booking Slots Available and Vessels Booked per Day From 12-JAN-2016 To 30-JUN-2017 From -JAN- To -JUN- -JAN- VIRP Page Period Period Period -JAN- 8 -JAN- 8 9 -JAN- 8 8 -JAN- -JAN- -JAN- 8-JAN- 9-JAN- -JAN- -JAN- -JAN- -JAN- -JAN- -JAN- -JAN- -JAN- 8-JAN- 9-JAN- -JAN- -JAN- -FEB- : days

More information

Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3

Level 1 - Maths Targets TARGETS. With support, I can show my work using objects or pictures 12. I can order numbers to 10 3 Ma Data Hling: Interpreting Processing representing Ma Shape, space measures: position shape Written Mental method s Operations relationship s between them Fractio ns Number s the Ma1 Using Str Levels

More information

FORECASTING. Operations Management

FORECASTING. Operations Management 2013 FORECASTING Brad Fink CIT 492 Operations Management Executive Summary Woodlawn hospital needs to forecast type A blood so there is no shortage for the week of 12 October, to correctly forecast, a

More information

Lab: The Reason for the Seasons

Lab: The Reason for the Seasons SEASONS LAB for SchoolWires.notebook Lab: The Reason for the Seasons Oct 3 1:57 PM 1 Lab: Reasons for Seasons 10/06/2014 Purpose: To model the reason for the seasons by demonstrating how the angle of the

More information

COE BIDDING RESULTS 2009 Category B Cars >1600 cc

COE BIDDING RESULTS 2009 Category B Cars >1600 cc Quota System A COE BIDDING RESULTS 2009 B Jan-2009 Quota 1,839 1,839 1,100 1,099 274 268 409 411 767 758 Successful bids 1,784 1,832 1,100 1,097 274 260 401 386 763 748 Bids received 2,541 2,109 1,332

More information

Presenting numerical data

Presenting numerical data Student Learning Development Presenting numerical data This guide offers practical advice on how to incorporate numerical information into essays, reports, dissertations, posters and presentations. The

More information

Areas of numeracy covered by the professional skills test

Areas of numeracy covered by the professional skills test Areas of numeracy covered by the professional skills test December 2014 Contents Averages 4 Mean, median and mode 4 Mean 4 Median 4 Mode 5 Avoiding common errors 8 Bar charts 9 Worked examples 11 Box and

More information

Unit 1: Statistics and Probability (Calculator)

Unit 1: Statistics and Probability (Calculator) Write your name here Surname Other names Edexcel GCSE Centre Number Candidate Number Mathematics B Unit 1: Statistics and Probability (Calculator) Tuesday 6 November 2012 Morning Time: 1 hour 15 minutes

More information

Chapter 2 - Graphical Summaries of Data

Chapter 2 - Graphical Summaries of Data Chapter 2 - Graphical Summaries of Data Data recorded in the sequence in which they are collected and before they are processed or ranked are called raw data. Raw data is often difficult to make sense

More information

ANSWER: TO GIVE YOU A QUICK VISUAL SUMMARY OF THE DATA THAT IS MORE INFORMATIVE THAN LOOKING AT A COLLECTION OF NUMBERS.

ANSWER: TO GIVE YOU A QUICK VISUAL SUMMARY OF THE DATA THAT IS MORE INFORMATIVE THAN LOOKING AT A COLLECTION OF NUMBERS. CHAPTER 9 Quiz Name: 1. What is the purpose of a plot, graph, or picture of data? ANSWER: TO GIVE YOU A QUICK VISUAL SUMMARY OF THE DATA THAT IS MORE INFORMATIVE THAN LOOKING AT A COLLECTION OF NUMBERS.

More information

Maths Level Targets. This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5.

Maths Level Targets. This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5. Maths Level Targets This booklet outlines the maths targets for each sub-level in maths from Level 1 to Level 5. Expected National Curriculum levels for the end of each year group are: Year 1 Year 2 Year

More information

2. THE x-y PLANE 7 C7

2. THE x-y PLANE 7 C7 2. THE x-y PLANE 2.1. The Real Line When we plot quantities on a graph we can plot not only integer values like 1, 2 and 3 but also fractions, like 3½ or 4¾. In fact we can, in principle, plot any real

More information

How does FORRESTER HIGH SCHOOL Do Numeracy?

How does FORRESTER HIGH SCHOOL Do Numeracy? How does FORRESTER HIGH SCHOOL Do Numeracy? NUMERACY HANDBOOK A guide for students, parents and staff Materials provided by the Forrester High School Department of Mathematics Introduction What is the

More information

Ways We Use Integers. Negative Numbers in Bar Graphs

Ways We Use Integers. Negative Numbers in Bar Graphs Ways We Use Integers Problem Solving: Negative Numbers in Bar Graphs Ways We Use Integers When do we use negative integers? We use negative integers in several different ways. Most of the time, they are

More information

Numeracy Targets. I can count at least 20 objects

Numeracy Targets. I can count at least 20 objects Targets 1c I can read numbers up to 10 I can count up to 10 objects I can say the number names in order up to 20 I can write at least 4 numbers up to 10. When someone gives me a small number of objects

More information

Part 1: Background - Graphing

Part 1: Background - Graphing Department of Physics and Geology Graphing Astronomy 1401 Equipment Needed Qty Computer with Data Studio Software 1 1.1 Graphing Part 1: Background - Graphing In science it is very important to find and

More information

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 6. Working with averages

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 6. Working with averages EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 2 Chapter 6 Working with data and averages SECTION I Working with data 1 Types of data 84 2 Extracting and interpreting information from tables 85 3 Extracting

More information

National 4: Expressions and Formulae

National 4: Expressions and Formulae Biggar High School Mathematics Department National 4 Pupil Booklet National 4: Expressions and Formulae Learning Intention Success Criteria I can simplify algebraic expressions. I can simplify and carry

More information

2. GRAPHICAL PRESENTATION OF DATA

2. GRAPHICAL PRESENTATION OF DATA 2. GRAPHICAL PRESENTATION OF DATA 2.1 Why do we need to present data graphically? If we take as an example a table of data 1 : x y 1. 7.46 8. 6.77 13. 12.74 9. 7.11 11. 7.81 14. 8.84 6. 6.8 4. 5.39 12.

More information

CALL VOLUME FORECASTING FOR SERVICE DESKS

CALL VOLUME FORECASTING FOR SERVICE DESKS CALL VOLUME FORECASTING FOR SERVICE DESKS Krishna Murthy Dasari Satyam Computer Services Ltd. This paper discusses the practical role of forecasting for Service Desk call volumes. Although there are many

More information

The Logistic Function

The Logistic Function MATH 120 Elementary Functions The Logistic Function Examples & Exercises In the past weeks, we have considered the use of linear, exponential, power and polynomial functions as mathematical models in many

More information

US Inflation Rate Consumer Price Index

US Inflation Rate Consumer Price Index 1960 1962 1964 1966 1968 1970 1972 1974 1976 1978 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 2012 2014 US Inflation Rate Consumer Price Index 14.0% 13.0% 12.0% 11.0%

More information

A Resource for Free-standing Mathematics Qualifications. Radius (m) Area (m 2 )

A Resource for Free-standing Mathematics Qualifications. Radius (m) Area (m 2 ) A Resource for Free-standing Mathematics Qualifications Non-linear graphs A graph can be used to illustrate the relationship between two variables. If the graph is not a straight line, it is said to be

More information

1 Lesson 3: Presenting Data Graphically

1 Lesson 3: Presenting Data Graphically 1 Lesson 3: Presenting Data Graphically 1.1 Types of graphs Once data is organized and arranged, it can be presented. Graphic representations of data are called graphs, plots or charts. There are an untold

More information

Presentation of Data

Presentation of Data ECON 2A: Advanced Macroeconomic Theory I ve put together some pointers when assembling the data analysis portion of your presentation and final paper. These are not all inclusive, but are things to keep

More information

NNC Year 6 Graphs and Charts

NNC Year 6 Graphs and Charts NNC Year 6 Graphs and Charts 95 minutes 93 marks Page of 53 Q2. These two graphs convert pounds ( ) to Deutschmarks (Dm) and pounds ( ) to dollars ($). Use the graphs to complete the table. number of approximate

More information

A Resource for Free-standing Mathematics Units. Data Sheet 1

A Resource for Free-standing Mathematics Units. Data Sheet 1 Data Sheet 1 Regular Expenses Item Estimate of Cost When Petrol/Diesel 10p per mile As needed Oil 12 for can of oil and filter Once or twice per year Air Filter 10 Once a year MOT 25-30 (excluding repairs)

More information

Infographics in the Classroom: Using Data Visualization to Engage in Scientific Practices

Infographics in the Classroom: Using Data Visualization to Engage in Scientific Practices Infographics in the Classroom: Using Data Visualization to Engage in Scientific Practices Activity 4: Graphing and Interpreting Data In Activity 4, the class will compare different ways to graph the exact

More information

Whole Numbers and Integers (44 topics, no due date)

Whole Numbers and Integers (44 topics, no due date) Course Name: PreAlgebra into Algebra Summer Hwk Course Code: GHMKU-KPMR9 ALEKS Course: Pre-Algebra Instructor: Ms. Rhame Course Dates: Begin: 05/30/2015 End: 12/31/2015 Course Content: 302 topics Whole

More information

Charts, Tables, and Graphs

Charts, Tables, and Graphs Charts, Tables, and Graphs The Mathematics sections of the SAT also include some questions about charts, tables, and graphs. You should know how to (1) read and understand information that is given; (2)

More information

Year 8 - Maths Autumn Term

Year 8 - Maths Autumn Term Year 8 - Maths Autumn Term Whole Numbers and Decimals Order, add and subtract negative numbers. Recognise and use multiples and factors. Use divisibility tests. Recognise prime numbers. Find square numbers

More information

Unit 9 Describing Relationships in Scatter Plots and Line Graphs

Unit 9 Describing Relationships in Scatter Plots and Line Graphs Unit 9 Describing Relationships in Scatter Plots and Line Graphs Objectives: To construct and interpret a scatter plot or line graph for two quantitative variables To recognize linear relationships, non-linear

More information

Read Through The Letters of Paul in 2016

Read Through The Letters of Paul in 2016 Read Through The Letters of Paul in 2016 JANUARY Jan 1: Romans 1:1-6 Jan 2: Romans 1:7-11 Jan 3: Romans 1:12-17 Jan 4: Romans 1:18-22 Jan 5: Romans 1:23-28 Jan 6: Romans 1:29-32 Jan 7: Romans 2:1-7 Jan

More information

Session 7 Bivariate Data and Analysis

Session 7 Bivariate Data and Analysis Session 7 Bivariate Data and Analysis Key Terms for This Session Previously Introduced mean standard deviation New in This Session association bivariate analysis contingency table co-variation least squares

More information

Descriptive Statistics. Frequency Distributions and Their Graphs 2.1. Frequency Distributions. Chapter 2

Descriptive Statistics. Frequency Distributions and Their Graphs 2.1. Frequency Distributions. Chapter 2 Chapter Descriptive Statistics.1 Frequency Distributions and Their Graphs Frequency Distributions A frequency distribution is a table that shows classes or intervals of data with a count of the number

More information

Mathematics A Monday 28 October 2013 Paper One Question book

Mathematics A Monday 28 October 2013 Paper One Question book 2013 Senior External Examination Mathematics A Monday 28 October 2013 Paper One Question book 9 am to 12:10 pm Time allowed Perusal time: 10 minutes Working time: 3 hours Examination materials provided

More information

Biostatistics: A QUICK GUIDE TO THE USE AND CHOICE OF GRAPHS AND CHARTS

Biostatistics: A QUICK GUIDE TO THE USE AND CHOICE OF GRAPHS AND CHARTS Biostatistics: A QUICK GUIDE TO THE USE AND CHOICE OF GRAPHS AND CHARTS 1. Introduction, and choosing a graph or chart Graphs and charts provide a powerful way of summarising data and presenting them in

More information

ARE211, Fall2012. Contents. 2. Linear Algebra Preliminary: Level Sets, upper and lower contour sets and Gradient vectors 1

ARE211, Fall2012. Contents. 2. Linear Algebra Preliminary: Level Sets, upper and lower contour sets and Gradient vectors 1 ARE11, Fall1 LINALGEBRA1: THU, SEP 13, 1 PRINTED: SEPTEMBER 19, 1 (LEC# 7) Contents. Linear Algebra 1.1. Preliminary: Level Sets, upper and lower contour sets and Gradient vectors 1.. Vectors as arrows.

More information

Mathematics (Project Maths)

Mathematics (Project Maths) 2010. M130 S Coimisiún na Scrúduithe Stáit State Examinations Commission Leaving Certificate Examination Sample Paper Mathematics (Project Maths) Paper 2 Higher Level Time: 2 hours, 30 minutes 300 marks

More information

Granny s Balloon Trip

Granny s Balloon Trip Granny s Balloon Trip This problem gives you the chance to: represent data using tables and graphs On her eightieth birthday, Sarah s granny went for a trip in a hot air balloon. This table shows the schedule

More information

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 6. Working with averages

EDEXCEL FUNCTIONAL SKILLS PILOT. Maths Level 2. Chapter 6. Working with averages EDEXCEL FUNCTIONAL SKILLS PILOT Maths Level 2 Chapter 6 Working with data and averages SECTION I Working with data 1 Types of data 84 2 Extracting and interpreting information from tables 85 3 Extracting

More information

Grade 6 Math Circles. Introduction to Statistics

Grade 6 Math Circles. Introduction to Statistics Faculty of Mathematics Waterloo, Ontario N2L 3G1 Centre for Education in Mathematics and Computing Grade 6 Math Circles February 4/5, 2014 Introduction to Statistics Statistics (or Stats) is a branch of

More information

The Cartesian Plane The Cartesian Plane. Performance Criteria 3. Pre-Test 5. Coordinates 7. Graphs of linear functions 9. The gradient of a line 13

The Cartesian Plane The Cartesian Plane. Performance Criteria 3. Pre-Test 5. Coordinates 7. Graphs of linear functions 9. The gradient of a line 13 6 The Cartesian Plane The Cartesian Plane Performance Criteria 3 Pre-Test 5 Coordinates 7 Graphs of linear functions 9 The gradient of a line 13 Linear equations 19 Empirical Data 24 Lines of best fit

More information

Collecting and displaying data

Collecting and displaying data 5 Collecting and displaying data VV Decide which data would be relevant to an enquiry and collect and organise the data. VV Design and use a data collection sheet or questionnaire for a simple survey.

More information

Updates to Graphing with Excel

Updates to Graphing with Excel Updates to Graphing with Excel NCC has recently upgraded to a new version of the Microsoft Office suite of programs. As such, many of the directions in the Biology Student Handbook for how to graph with

More information

You might be surprised to know that the word T-shirt wasn t really used until

You might be surprised to know that the word T-shirt wasn t really used until Hot Shirts Using Tables, Graphs, and Equations, Part 2 Learning Goals In this lesson, you will: Use different methods to represent a problem situation. Estimate values of expressions that involve decimals.

More information

PRESENTING YOUR DATA GRAPHICALLY

PRESENTING YOUR DATA GRAPHICALLY PRESENTING YOUR DATA GRAPHICALLY OVERVIEW This paper outlines best practices for the graphical presentation of data. It begins with a brief discussion of various aspects of giving a presentation. It then

More information

Creating Charts in Microsoft Excel A supplement to Chapter 5 of Quantitative Approaches in Business Studies

Creating Charts in Microsoft Excel A supplement to Chapter 5 of Quantitative Approaches in Business Studies Creating Charts in Microsoft Excel A supplement to Chapter 5 of Quantitative Approaches in Business Studies Components of a Chart 1 Chart types 2 Data tables 4 The Chart Wizard 5 Column Charts 7 Line charts

More information

What does the number m in y = mx + b measure? To find out, suppose (x 1, y 1 ) and (x 2, y 2 ) are two points on the graph of y = mx + b.

What does the number m in y = mx + b measure? To find out, suppose (x 1, y 1 ) and (x 2, y 2 ) are two points on the graph of y = mx + b. PRIMARY CONTENT MODULE Algebra - Linear Equations & Inequalities T-37/H-37 What does the number m in y = mx + b measure? To find out, suppose (x 1, y 1 ) and (x 2, y 2 ) are two points on the graph of

More information

Describing Data Exploring Data with Graphs and Tables

Describing Data Exploring Data with Graphs and Tables Describing Data Exploring Data with Graphs and Tables Dr. Tom Ilvento FREC 408 Statistics provides us tools to describe a set of data The tools involve numerical and graphical summaries The first distinction

More information

Research Methods 1 Handouts, Graham Hole,COGS - version 1.0, September 2000: Page 1:

Research Methods 1 Handouts, Graham Hole,COGS - version 1.0, September 2000: Page 1: Research Methods 1 Handouts, Graham Hole,COGS - version 1.0, September 2000: Page 1: THE NORMAL CURVE AND "Z" SCORES: The Normal Curve: The "Normal" curve is a mathematical abstraction which conveniently

More information

BUILD A SKITTLES GRAPH

BUILD A SKITTLES GRAPH BUILD A SKITTLES GRAPH Outcome (lesson objective) The student will be able to construct a bar graph with a given set of data. The student will also be able to find the ratio and percent of the data. Student/Class

More information

1291/2 Physics Lab Report Format

1291/2 Physics Lab Report Format 1291/2 Physics Lab Report Format General Remarks: Writing a lab report is the only way your TA will know what you have done during the lab and how well you have understood the process and the results.

More information

Teaching & Learning Plans. The Correlation Coefficient. Leaving Certificate Syllabus

Teaching & Learning Plans. The Correlation Coefficient. Leaving Certificate Syllabus Teaching & Learning Plans The Correlation Coefficient Leaving Certificate Syllabus The Teaching & Learning Plans are structured as follows: Aims outline what the lesson, or series of lessons, hopes to

More information

1.5 NUMERICAL REPRESENTATION OF DATA (Sample Statistics)

1.5 NUMERICAL REPRESENTATION OF DATA (Sample Statistics) 1.5 NUMERICAL REPRESENTATION OF DATA (Sample Statistics) As well as displaying data graphically we will often wish to summarise it numerically particularly if we wish to compare two or more data sets.

More information

Unit Essential Question: When do we need standard symbols, operations, and rules in mathematics? (CAIU)

Unit Essential Question: When do we need standard symbols, operations, and rules in mathematics? (CAIU) Page 1 Whole Numbers Unit Essential : When do we need standard symbols, operations, and rules in mathematics? (CAIU) M6.A.3.2.1 Whole Number Operations Dividing with one digit (showing three forms of answers)

More information

Prior Knowledge: Level: Values: Key Competencies: Integration Suggestions:

Prior Knowledge: Level: Values: Key Competencies: Integration Suggestions: Prior Knowledge: Level: Values: Key Competencies: Integration Suggestions: Before starting the unit ascertain students understanding of the following concepts: What do the following words mean? Transport

More information