Measures of Central Tendencies and Quartiles


 Cecil Turner
 1 years ago
 Views:
Transcription
1 Name: Period: Date: 11 th Grade Mathematics PSSA Preparation Program Mastered On: Measures of Central Tendencies and Quartiles Anchors Addressed M11.E Calculate or select the appropriate measure of central tendency (mean, median, or mode) of a set of data given or represented on a table, line plot, or stemandleaf plot. M11.E Calculate and/or interpret the range, quartiles, and interquartile range of the data. M11.E Describe how outliers affect measures of central tendency Concepts Measures of Central Tendency Mean: average value of all of the data. To find the mean, add all of the values together and divide the sum by the number of values in the data. Median: the middle number in set of values arranged from least to greatest. Mode: the number that appears most often in a set of data. (Data does not always have a mode.) Example 1: Find the measures of central tendency for the following temperatures: 34, 26, 47, 12, 18, 22, 50, 37, 32, 23, 34 Solution: To find the mean add the values: And then divide by the total number of values, To find the median, order the number from least to greatest: 12,18,22,23,26,32,34,34,37,47,50 Locate the number in the middle. If two numbers are in the middle, add then together and divide by 2. The median is 32. To find the mode, find the value(s) that occur the most. If two or more values have the highest frequency, then record both the values. The mode of this data set is 34.
2 Quartiles and the Interquartile Range (IQR) The word quartile is a fancy name for dividing the data into 4 equal parts. To find a quartile, find the median and then find the median of each half of the data. The interquartile range is a difference between the first and third quartiles. The diagram below represents ordered data separated into quartiles. D A T A Example 2: Find the interquartile range of the following data. Q1 Q2 median 12, 17, 34, 56, 32, 23, 83, 31, 9, 36 Q3 Solution: To find the interquartile range, we first need to find each quartile by ordering the numbers: 9,12,17,23,31,32,34,36,56,83 Now, find the median and label it Q2. In this example, since the median is between 31 and 32, the median is: Now, to find Q1 and Q3; to do this find the median of the two halves of the data: 9,12,17,23,31 32,34,36,56,83 Therefore, Q1 is 17 and Q3 is 36. Now, to find the IQR, subtract Q1 from Q3: Therefore, the IQR is Exercises A. Answer the following questions. 1. Explain how to use the median to find the quartiles.
3 B. Find the mean, median, and mode of the following data sets. 2. The sizes, in centimeters, of random perch caught in Lake Erie were: 12, 8, 7, 10, 6, 30, 23, 26, 18, 23, 14 Calculate the mean, median, and mode: Mean: Median: Mode: 3. The points scored by a football team during each game from last season are: 14, 21, 18, 21, 14, 35, 42, 42, 21, 14 Calculate the mean, median, and mode: Mean: Median: Mode: C. Use the data provided to answer the questions below: 14, 9, 3, 11, 13, 16, 4, 11, 19, 10, 8, 20, 13, 7, Write the data in order from least to greatest. 5. Find the median of the data set. This value is known as Quartile 2 or Q2 for short. Q2: 6. Find the median of the first half of the data set. This value is known as Quartile 1 or Q1. Q1: 7. Find the median of the second half of the data set. This value is known as Quartile 3 or Q3. Q3: 8. Subtract the Q3 value from Q1. This is the Interquartile Range or IQR. IQR:
4 Questions 48, above, represent the steps to finding the quartiles and the Interquartile Range. If the quartile is between two data points, then just as when we find the median, add the two points together and divide by two. Find Q1, Q2, Q3 and the IQR for the following data: 9. Write the data in order from least to greatest. 64, 82, 31, 43, 76, 55, 83, 59, Find the median of the data set. This value is known as Quartile 2 or Q2 for short. Q2: 11. Find the median of the first half of the data set. This value is known as Quartile 1 or Q1. Q1: 12. Find the median of the second half of the data set. This value is known as Quartile 3 or Q3. Q3: 13. Subtract the Q3 value from Q1. This is the Interquartile Range or IQR. IQR: D. Find the measures of central tendency, quartiles, and the interquartile range for the following data. 14. Data Set A: 64, 82, 31, 43, 76, 55, 83, 59, Data Set B: 57, 65, 43, 72, 50, 62, 53, 49, 63, 55
5 E. Answer the following questions using the information provided. ph is a scale that is used to determine the strength of acidity and alkalinity liquids. The scale ranges from 0 (being acidic) to 14 (being very alkalinity). In the middle of the scale is 7, which is neutral (neither acidic or basic). The list below provides the ph of various liquids. Liquid Tap Water Vinegar Milk Battery Acid Ammonia Lemon Juice Bottled Water Lye Sea Water Stomach Acid CocaCola ph Determine the mean, median, and mode of the data. 17. Determine Q1, Q3, and the Interquartile Range. 18. Determine the minimum, maximum and range of the data. Recall the minimum is the smallest value and the maximum is the largest value. The range is the difference between these values. 19. Of the calculations requested in questions 1415, which calculation provides the most useful information about the ph of these solutions? The least useful? Why? 20. Which calculation would best predict the ph of a solution that consisted of equal amounts of ALL of the liquids in the list? Why?
1. 2. 3. 4. Find the mean and median. 5. 1, 2, 87 6. 3, 2, 1, 10. Bellwork 32315 Simplify each expression.
Bellwork 32315 Simplify each expression. 1. 2. 3. 4. Find the mean and median. 5. 1, 2, 87 6. 3, 2, 1, 10 1 Objectives Find measures of central tendency and measures of variation for statistical data.
More informationMEAN 34 + 31 + 37 + 44 + 38 + 34 + 42 + 34 + 43 + 41 = 378 MEDIAN
MEASURES OF CENTRAL TENDENCY MEASURES OF CENTRAL TENDENCY The measures of central tendency are numbers that locate the center of a set of data. The three most common measures of center are mean, median
More information12 Mean, Median, Mode, and Range
Learn to find the mean, median, mode, and range of a data set. mean median mode range outlier Vocabulary The mean is the sum of the data values divided by the number of data items. The median is the middle
More informationMean, Median, Mode, Range and Outlier
Mean, Median, Mode, Range and Outlier For Learning to Happen: Take out a calculator. 1 Sum the answer to an addition problem. Addend the numbers you added together to get the sum. Or how many total numbers
More informationCentral Tendency & Graphs of Data LongTerm Memory Review Grade 7 Review 1
Review 1 1. The is the difference between the largest and smallest values in a set of numerical data. The is the middle value in a set of ordered data. 2. Bob took five tests in math class. His scores
More informationLesson Plan. Mean Count
S.ID.: Central Tendency and Dispersion S.ID.: Central Tendency and Dispersion Summarize, represent, and interpret data on a single count or measurement variable. Use statistics appropriate to the shape
More informationBellwork Students will review their study guide for their test. BoxandWhisker Plots will be discussed after the test.
Course: 7 th Grade Math Student Objective (Obj. 5c) TSW graph and interpret data in a boxandwhisker plot. DETAIL LESSON PLAN Friday, March 23 / Monday, March 26 Lesson 110 BoxandWhisker Plot (Textbook
More information13.2 Measures of Central Tendency
13.2 Measures of Central Tendency Measures of Central Tendency For a given set of numbers, it may be desirable to have a single number to serve as a kind of representative value around which all the numbers
More informationChapter 2: Exploring Data with Graphs and Numerical Summaries. Graphical Measures Graphs are used to describe the shape of a data set.
Page 1 of 16 Chapter 2: Exploring Data with Graphs and Numerical Summaries Graphical Measures Graphs are used to describe the shape of a data set. Section 1: Types of Variables In general, variable can
More information103 Measures of Central Tendency and Variation
103 Measures of Central Tendency and Variation So far, we have discussed some graphical methods of data description. Now, we will investigate how statements of central tendency and variation can be used.
More informationHome Runs, Statistics, and Probability
NATIONAL MATH + SCIENCE INITIATIVE Mathematics American League AL Central AL West AL East National League NL West NL East Level 7 th grade in a unit on graphical displays Connection to AP* Graphical Display
More informationDescribing Data. We find the position of the central observation using the formula: position number =
HOSP 1207 (Business Stats) Learning Centre Describing Data This worksheet focuses on describing data through measuring its central tendency and variability. These measurements will give us an idea of what
More informationIntro to Statistics 8 Curriculum
Intro to Statistics 8 Curriculum Unit 1 Bar, Line and Circle Graphs Estimated time frame for unit Big Ideas 8 Days... Essential Question Concepts Competencies Lesson Plans and Suggested Resources Bar graphs
More information= = = pages. = = =399 pages. = = 13 cm. 09 Measures of Center, Spread, and Position. Find the mean, median, and mode for each set of data.
Find the mean, median, and mode for each set of data. 1. number of pages in each novel assigned for summer reading: 224, 272, 374, 478, 960, 394, 404, 308, 480, 624 To find the mean divide the sum of all
More informationAP * Statistics Review. Descriptive Statistics
AP * Statistics Review Descriptive Statistics Teacher Packet Advanced Placement and AP are registered trademark of the College Entrance Examination Board. The College Board was not involved in the production
More informationMeasures of Spread and Their Effects Grade Seven
Ohio Standards Connection Data Analysis and Probability Benchmark F Determine and use the range, mean, median and mode to analyze and compare data, and explain what each indicates about the data. Indicator
More informationCC Investigation 5: Histograms and Box Plots
Content Standards 6.SP.4, 6.SP.5.c CC Investigation 5: Histograms and Box Plots At a Glance PACING 3 days Mathematical Goals DOMAIN: Statistics and Probability Display numerical data in histograms and
More informationChapter 6 Notes. Section 6.1 Solving OneStep Linear Inequalities
Chapter 6 Notes Name Section 6.1 Solving OneStep Linear Inequalities Graph of a linear Inequality the set of all points on a number line that represent all solutions of the inequality > or < or circle
More informationBox Plots. Objectives To create, read, and interpret box plots; and to find the interquartile range of a data set. Family Letters
Bo Plots Objectives To create, read, and interpret bo plots; and to find the interquartile range of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop
More informationChapter 3 Descriptive Statistics: Numerical Measures. Learning objectives
Chapter 3 Descriptive Statistics: Numerical Measures Slide 1 Learning objectives 1. Single variable Part I (Basic) 1.1. How to calculate and use the measures of location 1.. How to calculate and use the
More informationGrade 7 Effect of outlier on mean, median, mode
Grade 7 Effect of outlier on mean, median, mode 7.SP.2 Determine the effect on the mean, median and mode when an outlier is included in a data set. 1. Analyze a given set of data to identify any outliers.
More informationBrief Review of Median
Session 36 FiveNumber Summary and Box Plots Interpret the information given in the following boxandwhisker plot. The results from a pretest for students for the year 2000 and the year 2010 are illustrated
More information2.3. Measures of Central Tendency
2.3 Measures of Central Tendency Mean A measure of central tendency is a value that represents a typical, or central, entry of a data set. The three most commonly used measures of central tendency are
More informationThe right edge of the box is the third quartile, Q 3, which is the median of the data values above the median. Maximum Median
CONDENSED LESSON 2.1 Box Plots In this lesson you will create and interpret box plots for sets of data use the interquartile range (IQR) to identify potential outliers and graph them on a modified box
More informationExploratory data analysis (Chapter 2) Fall 2011
Exploratory data analysis (Chapter 2) Fall 2011 Data Examples Example 1: Survey Data 1 Data collected from a Stat 371 class in Fall 2005 2 They answered questions about their: gender, major, year in school,
More informationph Test #1: Scaling Common Liquids (From a series of 5)
ph ph Test #1: Scaling Common Liquids (From a series of 5) Adapted from: Acid Tests in Environmental Education in the Schools. Braus, Judy and David Wood. Peace Corps, 1993. Grade Level: basic Duration:
More informationMean, Median, Mode and Range
Mean, Median, Mode and Range 8 th grade 5 days of 40 minute class periods Materials used: internet, TI83, tape measures, magazines and newspapers Kimberly Best 1 Table of Contents Objectives:    
More informationWe will use the following data sets to illustrate measures of center. DATA SET 1 The following are test scores from a class of 20 students:
MODE The mode of the sample is the value of the variable having the greatest frequency. Example: Obtain the mode for Data Set 1 77 For a grouped frequency distribution, the modal class is the class having
More informationMean, Median, and Mode
DELTA MATH SCIENCE PARTNERSHIP INITIATIVE M 3 Summer Institutes (Math, Middle School, MS Common Core) Mean, Median, and Mode Hook Problem: To compare two shipments, five packages from each shipment were
More informationUnit 3 Sample Test. Name: Class: Date: True/False Indicate whether the statement is true or false.
Name: Class: Date: Unit 3 Sample Test True/False Indicate whether the statement is true or false. 1. An example of qualitative data is the colour of a person s eyes. 2. When a researcher conducts an experiment,
More informationNumerical Measures of Central Tendency
Numerical Measures of Central Tendency Often, it is useful to have special numbers which summarize characteristics of a data set These numbers are called descriptive statistics or summary statistics. A
More informationCH.6 Random Sampling and Descriptive Statistics
CH.6 Random Sampling and Descriptive Statistics Population vs Sample Random sampling Numerical summaries : sample mean, sample variance, sample range StemandLeaf Diagrams Median, quartiles, percentiles,
More information9.1 Measures of Center and Spread
Name Class Date 9.1 Measures of Center and Spread Essential Question: How can you describe and compare data sets? Explore Exploring Data Resource Locker Caleb and Kim have bowled three games. Their scores
More informationGCSE HIGHER Statistics Key Facts
GCSE HIGHER Statistics Key Facts Collecting Data When writing questions for questionnaires, always ensure that: 1. the question is worded so that it will allow the recipient to give you the information
More informationWherever chemical solutions are involved, ph matters. Some
47 Acids, Bases, and the ph Scale r e a d i n g Wherever chemical solutions are involved, ph matters. Some important chemical reactions, such as those involved in corrosion of iron or digestion of food,
More informationStatistics Summary (prepared by Xuan (Tappy) He)
Statistics Summary (prepared by Xuan (Tappy) He) Statistics is the practice of collecting and analyzing data. The analysis of statistics is important for decision making in events where there are uncertainties.
More informationCh. 3.1 # 3, 4, 7, 30, 31, 32
Math Elementary Statistics: A Brief Version, 5/e Bluman Ch. 3. # 3, 4,, 30, 3, 3 Find (a) the mean, (b) the median, (c) the mode, and (d) the midrange. 3) High Temperatures The reported high temperatures
More informationProbability and Statistics
Probability and Statistics Activity: TEKS: Your Average Joe (6.10) Probability and statistics. The student uses statistical representations to analyze data. The student is expected to: (B) identify mean
More informationDATA HANDLING (3) Overview. Measures of dispersion (or spread) about the mean (ungrouped data) Lesson. Learning Outcomes and Assessment Standards
42 DATA HANDLING (3) Learning Outcomes and Assessment Standards Learning Outcome 4: Data handling and probability Assessment Standard AS 1(a) Calculate and represent measures of central tendency and dispersion
More informationGrade 7 Math Statistics and Probability Grade 7 Math Grade 7 Math Start Date: March 18, 2013 End Date : May 24, 2013
Unit Overview Students will be able to: use random samples to show that they produce representative samples and support valid inferences in statistics use random sample results to draw inferences about
More informationSection 1.3 Exercises (Solutions)
Section 1.3 Exercises (s) 1.109, 1.110, 1.111, 1.114*, 1.115, 1.119*, 1.122, 1.125, 1.127*, 1.128*, 1.131*, 1.133*, 1.135*, 1.137*, 1.139*, 1.145*, 1.146148. 1.109 Sketch some normal curves. (a) Sketch
More informationDescriptive 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 informationFamily Letters. Assessment Management. Math Boxes 1 4
Objective To calculate and compare the median and mean of a data set. www.everydaymathonline.com epresentations etoolkit Algorithms Practice EM Facts Workshop Game Family Letters Assessment Management
More informationMean = (sum of the values / the number of the value) if probabilities are equal
Population Mean Mean = (sum of the values / the number of the value) if probabilities are equal Compute the population mean Population/Sample mean: 1. Collect the data 2. sum all the values in the population/sample.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) (a) 3 (b) 51
Chapter 2 Problems to look at Use the given frequency distribution to find the (a) class width. (b) class midpoints of the first class. (c) class boundaries of the first class. 1) Height (in inches) 1)
More informationLesson 4: Water ph Water Quality Sampling Time Frame: Two minute class periods Grade Level: 8 th 12 th Grade
Lesson 4: Water ph Water Quality Sampling Time Frame: Two 4550 minute class periods Grade Level: 8 th 12 th Grade Overview: Water ph Water ph is an indication of the water s acidity measurements on a
More informationSyllabus OC18 Use litmus or a universal indicator to test a variety of solutions, and classify these as acidic, basic or neutral
Chemistry: 9. Acids and Bases Please remember to photocopy 4 pages onto one sheet by going A3 A4 and using back to back on the photocopier Syllabus OC18 Use litmus or a universal indicator to test a variety
More information2. A is a subset of the population. 3. Construct a frequency distribution for the data of the grades of 25 students taking Math 11 last
Math 111 Chapter 12 Practice Test 1. If I wanted to survey 50 Cabrini College students about where they prefer to eat on campus, which would be the most appropriate way to conduct my survey? a. Find 50
More informationData and Statistics. There are three measures of central tendency that you must know. All of these should be somewhat familiar to you:
Data and Statistics There are three measures of central tendency that you must know. All of these should be somewhat familiar to you: Mean: Commonly called the average. It is the sum of a set of values
More informationWhat are Data? The Research Question (Randomised Controlled Trials (RCTs)) The Research Question (Non RCTs)
What are Data? Quantitative Data o Sets of measurements of objective descriptions of physical and behavioural events; susceptible to statistical analysis Qualitative data o Descriptive, views, actions
More informationREVISED GCSE Scheme of Work Mathematics Higher Unit T3. For First Teaching September 2010 For First Examination Summer 2011
REVISED GCSE Scheme of Work Mathematics Higher Unit T3 For First Teaching September 2010 For First Examination Summer 2011 Version 1: 28 April 10 Version 1: 28 April 10 Unit T3 Unit T3 This is a working
More information1.3 Measuring Center & Spread, The Five Number Summary & Boxplots. Describing Quantitative Data with Numbers
1.3 Measuring Center & Spread, The Five Number Summary & Boxplots Describing Quantitative Data with Numbers 1.3 I can n Calculate and interpret measures of center (mean, median) in context. n Calculate
More informationBoxandWhisker Plots
Learning Standards HSSID.A. HSSID.A.3 3 9 23 62 3 COMMON CORE.2 Numbers of First Cousins 0 3 9 3 45 24 8 0 3 3 6 8 32 8 0 5 4 BoxandWhisker Plots Essential Question How can you use a boxandwhisker
More information3: Summary Statistics
3: Summary Statistics Notation Let s start by introducing some notation. Consider the following small data set: 4 5 30 50 8 7 4 5 The symbol n represents the sample size (n = 0). The capital letter X denotes
More informationSession 1.6 Measures of Central Tendency
Session 1.6 Measures of Central Tendency Measures of location (Indices of central tendency) These indices locate the center of the frequency distribution curve. The mode, median, and mean are three indices
More informationF. Farrokhyar, MPhil, PhD, PDoc
Learning objectives Descriptive Statistics F. Farrokhyar, MPhil, PhD, PDoc To recognize different types of variables To learn how to appropriately explore your data How to display data using graphs How
More informationMeasures of Central Tendency
Measures of Central Tendency Purpose: Participants will determine the mean, median, and mode of a data set. Overview: In pairs, participants will input data into the lists of their graphing calculator.
More informationInterpret BoxandWhisker Plots. Make a boxandwhisker plot
13.8 Interpret BoxandWhisker Plots Before You made stemandleaf plots and histograms. Now You will make and interpret boxandwhisker plots. Why? So you can compare sets of scientific data, as in Ex.
More informationIntroduction to Descriptive Statistics
Mathematics Learning Centre Introduction to Descriptive Statistics Jackie Nicholas c 1999 University of Sydney Acknowledgements Parts of this booklet were previously published in a booklet of the same
More informationModule 4: Data Exploration
Module 4: Data Exploration Now that you have your data downloaded from the Streams Project database, the detective work can begin! Before computing any advanced statistics, we will first use descriptive
More informationHomework Short test tomorrow on Mean, Median, Mode, and Range. Complete study guide (5 problems).
Course: 7 th Grade Math Student Objective (Obj. 5b) TSW learn the affects of outliers on mean, median, mode and range. DETAIL LESSON PLAN Wednesday, March 21 / Thursday, March 22 Lesson 110 Median, Mean,
More informationFirst Six Weeks (29 Days)
Mathematics Scope & Sequence Grade 6 Revised: May 2010 Topic Title Unit 1: Compare and Order, Estimate, Exponents, and Order of Operations Lesson 11: Comparing and Ordering Whole Numbers Lesson 12: Estimating
More information3.1 Measures of central tendency: mode, median, mean, midrange Dana Lee Ling (2012)
3.1 Measures of central tendency: mode, median, mean, midrange Dana Lee Ling (2012) Mode The mode is the value that occurs most frequently in the data. Spreadsheet programs such as Microsoft Excel or OpenOffice.org
More informationLesson Plan: How Do We Know What is Healthy Water?
Lesson Plan: How Do We Know What is Healthy Water? Estimated Time: 13 days ph /Chlorine / Hardness State Standards taught and addressed Grade 8: Standards Taught (and evaluated at end of lesson) Science
More informationLecture 1: Review and Exploratory Data Analysis (EDA)
Lecture 1: Review and Exploratory Data Analysis (EDA) Sandy Eckel seckel@jhsph.edu Department of Biostatistics, The Johns Hopkins University, Baltimore USA 21 April 2008 1 / 40 Course Information I Course
More information430 Statistics and Financial Mathematics for Business
Prescription: 430 Statistics and Financial Mathematics for Business Elective prescription Level 4 Credit 20 Version 2 Aim Students will be able to summarise, analyse, interpret and present data, make predictions
More informationVANDERBILT STUDENT VOLUNTEERS FOR SCIENCE. Acids and Bases. Fall 2012
VANDERBILT STUDENT VOLUNTEERS FOR SCIENCE Acids and Bases Fall 2012 GOAL: To introduce students to acids and bases. MATERIALS 3 10oz clear plastic cups 1 4 oz. bottle white vinegar  labeled Acid 1 4 oz.
More informationHandout 6A. The Ion Balancing Act of ph. Using Forensics: Wildlife Crime Scene!
The Ion Balancing Act of ph Name Date We are affected every day by the ph of liquids in and around us. The food we eat and liquids we drink have ph levels, and our body organs require specific phs to keep
More informationVariables. Exploratory Data Analysis
Exploratory Data Analysis Exploratory Data Analysis involves both graphical displays of data and numerical summaries of data. A common situation is for a data set to be represented as a matrix. There is
More informationDomain Essential Question Common Core Standards Resources
Middle School Math 20162017 Domain Essential Question Common Core Standards First Ratios and Proportional Relationships How can you use mathematics to describe change and model real world solutions? How
More informationa. mean b. interquartile range c. range d. median
3. Since 4. The HOMEWORK 3 Due: Feb.3 1. A set of data are put in numerical order, and a statistic is calculated that divides the data set into two equal parts with one part below it and the other part
More informationAcids and Bases: Cabbage Juice ph Indicator
Acids and Bases: Cabbage Juice ph Indicator Student Version Acids and bases are found in a variety of everyday items, including food and drink, medicine, and cleaning products. In this lab, we will learn
More informationSTATS8: Introduction to Biostatistics. Data Exploration. Babak Shahbaba Department of Statistics, UCI
STATS8: Introduction to Biostatistics Data Exploration Babak Shahbaba Department of Statistics, UCI Introduction After clearly defining the scientific problem, selecting a set of representative members
More informationQ1: What is the ph Scale? Q6: As acids become more acidic, their ph values
Q1: What is the ph Scale? Q6: As acids become more acidic, their ph values increase or decrease? Q2: The range of values of the ph scale is: Q7: As bases become more alkaline, their ph values increase
More informationDesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability
DesCartes (Combined) Subject: Mathematics Goal: Statistics and Probability RIT Score Range: Below 171 Below 171 Data Analysis and Statistics Solves simple problems based on data from tables* Compares
More informationGlossary of numeracy terms
Glossary of numeracy terms These terms are used in numeracy. You can use them as part of your preparation for the numeracy professional skills test. You will not be assessed on definitions of terms during
More informationFirst Midterm Exam (MATH1070 Spring 2012)
First Midterm Exam (MATH1070 Spring 2012) Instructions: This is a one hour exam. You can use a notecard. Calculators are allowed, but other electronics are prohibited. 1. [40pts] Multiple Choice Problems
More informationBar Graphs and Dot Plots
CONDENSED L E S S O N 1.1 Bar Graphs and Dot Plots In this lesson you will interpret and create a variety of graphs find some summary values for a data set draw conclusions about a data set based on graphs
More informationS29 INTERPRETING BAR CHARTS, PIE CHARTS, BOX AND WHISKER PLOTS
S9 Boxwhisk V.doc S9 INTERPRETING BAR CHARTS, PIE CHARTS, BOX AND WHISKER PLOTS Mathematical goals To help learners to: interpret bar charts, pie charts, and box and whisker plots in a qualitative way.
More informationWashington State K 8 Mathematics Standards April 2008
Washington State K 8 Mathematics Standards Data Analysis, Statistics, and Probability Strand In kindergarten through grade 5, students learn a variety of ways to display data, and they interpret data to
More informationx Measures of Central Tendency for Ungrouped Data Chapter 3 Numerical Descriptive Measures Example 31 Example 31: Solution
Chapter 3 umerical Descriptive Measures 3.1 Measures of Central Tendency for Ungrouped Data 3. Measures of Dispersion for Ungrouped Data 3.3 Mean, Variance, and Standard Deviation for Grouped Data 3.4
More informationData Mining Part 2. Data Understanding and Preparation 2.1 Data Understanding Spring 2010
Data Mining Part 2. and Preparation 2.1 Spring 2010 Instructor: Dr. Masoud Yaghini Introduction Outline Introduction Measuring the Central Tendency Measuring the Dispersion of Data Graphic Displays References
More informationContent DESCRIPTIVE STATISTICS. Data & Statistic. Statistics. Example: DATA VS. STATISTIC VS. STATISTICS
Content DESCRIPTIVE STATISTICS Dr Najib Majdi bin Yaacob MD, MPH, DrPH (Epidemiology) USM Unit of Biostatistics & Research Methodology School of Medical Sciences Universiti Sains Malaysia. Introduction
More informationConsolidation of Grade 3 EQAO Questions Data Management & Probability
Consolidation of Grade 3 EQAO Questions Data Management & Probability Compiled by Devika WilliamYu (SE2 Math Coach) GRADE THREE EQAO QUESTIONS: Data Management and Probability Overall Expectations DV1
More informationAcids, Bases, and ph
CHAPTER 9 1 SECTION Acids, Bases, and Salts Acids, Bases, and ph KEY IDEAS As you read this section, keep these questions in mind: What properties do acids have? What properties do bases have? How can
More informationStatistics and Probability (Data Analysis)
Statistics and Probability (Data Analysis) Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Specific Learning Outcomes Specific Learning Outcomes Specific Learning Outcomes 2.SP.1. Gather and record data about
More informationSeminar paper Statistics
Seminar paper Statistics The seminar paper must contain:  the title page  the characterization of the data (origin, reason why you have chosen this analysis,...)  the list of the data (in the table)
More informationUnderstanding, Identifying & Analyzing Box & Whisker Plots
Understanding, Identifying & Analyzing Box & Whisker Plots CCSS: 6.SP.4, 8.SP.1 VA SOLs: A.10 Box and Whisker Plots Lower Extreme Lower Quartile Median Upper Quartile Upper Extreme The inter quartile range
More informationAcids and Bases: Cabbage Juice ph Indicator
Acids and Bases: Cabbage Juice ph Indicator Student Advanced Version Acids and bases are found in a variety of everyday items, including food and drink, medicine, and cleaning products. In this lab, we
More informationSection 3.1 Measures of Central Tendency: Mode, Median, and Mean
Section 3.1 Measures of Central Tendency: Mode, Median, and Mean One number can be used to describe the entire sample or population. Such a number is called an average. There are many ways to compute averages,
More information2.0 Lesson Plan. Answer Questions. Summary Statistics. Histograms. The Normal Distribution. Using the Standard Normal Table
2.0 Lesson Plan Answer Questions 1 Summary Statistics Histograms The Normal Distribution Using the Standard Normal Table 2. Summary Statistics Given a collection of data, one needs to find representations
More informationThis document contains Chapter 2: Statistics, Data Analysis, and Probability strand from the 2008 California High School Exit Examination (CAHSEE):
This document contains Chapter 2:, Data Analysis, and strand from the 28 California High School Exit Examination (CAHSEE): Mathematics Study Guide published by the California Department of Education. The
More informationMultiple Choice Questions Descriptive Statistics  Summary Statistics
Multiple Choice Questions Descriptive Statistics  Summary Statistics 1. Last year a small statistical consulting company paid each of its five statistical clerks $22,000, two statistical analysts $50,000
More informationSTAT 155 Introductory Statistics. Lecture 5: Density Curves and Normal Distributions (I)
The UNIVERSITY of NORTH CAROLINA at CHAPEL HILL STAT 155 Introductory Statistics Lecture 5: Density Curves and Normal Distributions (I) 9/12/06 Lecture 5 1 A problem about Standard Deviation A variable
More informationDescriptive statistics Statistical inference statistical inference, statistical induction and inferential statistics
Descriptive statistics is the discipline of quantitatively describing the main features of a collection of data. Descriptive statistics are distinguished from inferential statistics (or inductive statistics),
More informationMeans, standard deviations and. and standard errors
CHAPTER 4 Means, standard deviations and standard errors 4.1 Introduction Change of units 4.2 Mean, median and mode Coefficient of variation 4.3 Measures of variation 4.4 Calculating the mean and standard
More informationGrade 6 Mathematics Assessment. Eligible Texas Essential Knowledge and Skills
Grade 6 Mathematics Assessment Eligible Texas Essential Knowledge and Skills STAAR Grade 6 Mathematics Assessment Mathematical Process Standards These student expectations will not be listed under a separate
More informationFor any two different places on the number line, the integer on the right is greater than the integer on the left.
Positive and Negative Integers Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5,.... Negative integers are all the opposites of these whole numbers: 1, 2, 3, 4, 5,. We
More informationExploratory Data Analysis
Exploratory Data Analysis Johannes Schauer johannes.schauer@tugraz.at Institute of Statistics Graz University of Technology Steyrergasse 17/IV, 8010 Graz www.statistics.tugraz.at February 12, 2008 Introduction
More informationLOGARITHMS AND THE ph SCALE
NAME: DATE: LOGARITHMS AND THE ph SCALE A scientific application of Logarithms is the ph scale which is used to measure the concentration of H + ions in an acidic or basic solution. ph is equal to the
More information