Statistics revision worksheet

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1 Statistics revision worksheet Name : Class: Date:. 1.Which of the following is the properly rounded mean for the given data? 7, 8, 13, 9, 10, 11 A) 10 B) 9.7 C) 9.67 D) 9 2. What is the median of the following set of values? 9, 7, 4, 2, 13 A) 4 B) 6 C) 7 D) 8 3. Find the mode for the following data? 5, 4, 3, 4, 5, 6, 5, 5, 3, 4 A) 3 B) 4 C) 5 D) 6 4. What is the midrange of the following data set? 1, 7, 6, 8, 0, 8, 14, 14, 14 A) 7 B) 8 C) 1 D) Find the mean of the following data set? 9, 4, 7, 2, 13 A) 4.0 B) 6.0 C) 7.0 D) 8.0 1

2 6. What is the median of the following data set? 2, 5, 9, 10, 14 A) 8 B) 9 C) 10 D) The number of police officers in selected city districts is listed below. Find the mode. 24, 26, 24, 30, 23, 28, 19, 31, 24, 26, 19 A) 23 B) 24 C) 26 D) Find the mean, mode, median, and midrange for the following data set. 12, 15, 18, 18, 15, 22, 15, 30, Find the mean of the following set of values. 3, 10, 8, 6, Find the median of the following data set. 6, 13, 10, 9, Find the median for the following data. 6, 7, 4, 5, 3, 7, 4 A) 3 B) 4 C) 5 D) For the data set 1, 8, 7, 2, 9, 15, 18, the properly rounded mean is What is the mean of the following data set? 3, 7, 10, 11, 12 A) 6.0 B) 8.6 C) 10.0 D)

3 14. What is the median of the following set of values? 6, 20, 18, 14, 18, 13, 14, 18 A) 12 B) 16 C) 14 D) What is the mode of the following data set? 2, 16, 14, 10, 14, 12, 9 A) 8 B) 12 C) 10 D) Find the mean of the following data set. 8, 10, 10, 10, 8, Find the median of the following data set. 7, 9, 9, 9, 7, If a distribution is negatively skewed as shown in the figure below, the mean will fall to the right of the median and the mode will fall to the left of the median. 3

4 19.In a unimodal, symmetrical distribution as shown in the figure below, A) the mean is the same as the median, but the mode can be different. B) the mean, the median, and the mode are the same. C) the median and the mode are the same, but the mean can be different. D) the mean, the median, and the mode are different. 20. Find the weighted mean for a particular student's scores on three exams if the first one was worth 75 points and the student received a score of 70%, the second was worth 50 points and the student received a score of 80%, and the third was worth 30 points and the student received a score of 95%? 4

5 21. A student received the following grades last semester. Find the student's semester grade point average. Course Credits Grade/Points Statistics 4 A / 4.0 Physics 5 B / 3.0 Sociology 3 B / 3.0 Literature 2 B / 3.0 Tennis 1 D / 1.0 A) 3.00 B) 3.47 C) 3.24 D) A characteristic or measure obtained by using all the data values for a specific population is called a. A) variable B) mode C) statistic D) parameter 23. A weighted mean is used when the values of the data set are not all equally represented. 24. The median can be a more appropriate measure of central tendency if the distribution of the data is extremely skewed. 25.A is the midpoint in a data array. 5

6 26. The is the mode for grouped data. 27. Which statement is true about the modal class? A) The class with the lowest frequency. B) The first class apprearing in a frequency distribution C) The last class appearing in a frequency distribution D) The class with the largest frequency 28. The value that occurs most often in a data set is called. A) The median B) The mode C) The mean D) The midrange 29. The following table shows the tuition fees per semester for different majors in Midwest technical college in the UK Major Tuition fees per semester Automation 1, 500 ICT 2,200 Nuclear Energy 3,200 Engineering Science 3,000 Health 2,200 Find the mean, median, mode and mid-range 6

7 30) The following information shows the colors of cars preferred by costomers. a) Draw a pie graph for the data showing the percentages of each color. Color Number % Angle Red 50 Black 60 White 30 Green 20 Blue 40 b)construct a pareto chart for the data 7

8 31) Calculate the mean of the following data Tempreture Frequency(f) Midpoint(X m ) f. X m ) The mean of scores of a group of four students is 15 and the mean of a different group of five students is 21. Calculate the mean of the scores of the 9 students. 33) Asample could be described as A) All the subjects that are being studied. B) A group of subjects selected from population. C) The collection, organization, summarization and presentation of data. D) None of the above. 8

9 34) Which statement best describes The number if grade 12 students? A) A discrete variable B) A continous variable C) An ordinal level of measurement D) Nominal level of measurement 35) What is the midpoint of ? A) 11 B) 11.4 C) 0.1 D) ) What level of measurement allows for ranking of the data, a precise difference between units of measure, and also includes a true zero? A) Nomoinal B) Ordinal C) Ratio D) Interval 37) Which branch of statistics would employ probability to predict how many miles one should be able to drive a 2000 Toyota Celica during its life time? A) Time series statistics B) Descriptive statistics C) Differential statistics D) Inferential statistics 9

10 38) What type of sampling is being employed if the country is divided into economic classes and a sample is chosen from each class to be surveyed? A) Stratified sampling B) Systematic sampling C) Random sampling D) Cluster sampling 39) The heights in cm of 50 adults are organized in a grouped frequency distribution. a) arrange the table by filling the empty cells. b) Use the data in the table to produse a histogram and an ogive. Class limits Class boundaries Midpoints Frequency Cumulative frequency

11 40) Omar s average ( arithmetic mean) score for six tests was 46. If the sum of the scores of two of his tests was 94, what was his average for the other four tests? 11

12 41) The pie graph below shows the percentage of the number of transport means that pass a particular junction in one hour. trucks 5% buses 26% bicycle 9% motorc ycle 15% cars 45% If the total number of transport means of all types was 2000, answer the following questions : a) Find the number of motorcycles passing through the junction. b) Find the angle in degrees of the above pie graph allocated f c) Suppose that the total number of transport of all types was 3000 instead of How would this change affect the angle representing busses? 12

13 42) Construct a Pareto chart for the following distribution: Year in School Number of Students Freshmen 28 Sophomores 14 Juniors 40 Seniors 18 13

14 43) A local fundraiser wants to graphically display the contributions he has received over the past five years. Construct a time series graph for the following data. Year Contributions 1996 $ $ $ $ $ ) An automobile dealer wants to construct a pie graph to represent types of cars sold in July. He sold 72 cars, 16 of which were convertibles. How many degrees should be used for the convertibles section? A) 60 B) 80 C) 100 D) 50 14

15 45) If a data set showing types of pizza ordered at a particular restaurant indicates 24 out of 72 orders were for pepperoni pizza, how many degrees would be needed to represent pepperoni pizza in a pie chart? A) 90 B) 120 C) 60 D) ) Karen is constructing a pie graph to represent the number of hours her classmates do homework each day. She found that 8 of 24 classmates did homework for three hours each day. In her pie graph, this would represent how many degrees? A) 135 B) 45 C) 120 D) ) A Pareto chart is useful for showing percentages of the total at different times. ( True or False ) 48 ) A weatherman records the amount of rain that fell in Portland, Oregon each day for a year. What type of graph should he use to show how rainfall changes during the year? A) pie graph B) pictograph C) time series graph D) Pareto chart 48) Graphs give a visual representation that may enable readers to analyze and interpret data more easily than simply looking at tables of numbers. ( True or False ) 49) A time series graph represents data that occur over a specific time period.( True or False) 15

16 50) A Pareto chart does not have which of the following properties? A) frequencies displayed by the heights of vertical bars B) frequencies arranged from highest to lowest C) quantitative variable on the horizontal axis D) classes of data are categorical 51) A pie graph is not useful in showing which of the following characteristics of a data set? A) frequency changes over time B) relative frequencies for each category in the distribution C) categories that make up the largest proportions of the total D) categories that make up the smallest proportions of the total 52) A time series graph is useful for which of the following purposes? A) representing relative frequencies of categories at a specific time B) representing the cumulative frequencies of the data at a specific time C) representing the frequencies of the data, sorted from largest to smallest D) representing the changing frequencies of a data category over a period time 53) A time series graph is useful for detecting trends that occur over the period of time.( True or False ) 54) When making Pareto charts, data should be arranged according to frequency. A) from smallest to largest C) from largest to smallest B) with increasing time D) clockwise 55) Which graph should be used to represent the frequencies with which certain courses are taken at Highlands Middle School? A) Pareto chart B) time series graph C) pie graph D) pictograph 16

17 56) A pie graph would best represent the number of inches of rain that has fallen in Ohio each day for the past 2 months.( True or False ) 57) The percentages of white, wheat, and rye bread sold at a supermarket each week is best shown using a graph. 58) A graph would most appropriately represent the number of students that were enrolled in Statistics for each of the past ten years. 59) A stem and leaf plot has the advantage over a grouped frequency distribution of retaining the actual data while still showing them in graphical form. ( True or False ) 60 ) Given the following two sets of data, draw a back-to-back stem and leaf plot. A - 12, 22, 22, 24, 34, 31, 26, 35, 27, 39, 49, 10 B - 45, 36, 23, 16, 37, 28, 18, 13, 10, 23, 30, 31 17

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