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UNIT 4 DESCRIPTIVE STATISTICS – EOC REVIEW NAME ___________________ _____________________________________________________________________________ Mr. Turner has two Math 2 classes. With one class, he lectured and the students took notes. In the other class, the students worked in small groups to solve math problems. After the first test, Mr. Turner recorded the student grades to determine if his different styles of teaching might have impacted student learning. Class 1: 80, 81, 81, 75, 70, 72, 74, 76, 77, 77, 77, 79, 84, 88, 90, 86, 80, 80, 78, 82 Class 2: 70, 90, 88, 89, 86, 86, 86, 86, 84, 82, 77, 79, 84, 84, 84, 86, 87, 88, 88, 88 1. Compare the measures of central tendency for the two classes. A. Class 1 has a higher measure of center than class 2 B. Class 2 has a higher measure of center than class 1 C. The measures of center are the same 2. For which class were the scores closer to the mean? A. Class 1 B. Class 2 C. They were the same D. Not enough information 3. The box and whisker plot below shows the quiz scores of 20 history students. Which of the following statements is NOT a correct interpretation of the box-and-whicker plot? A. The median quiz score was 30. B. Approximately 5 students had quiz scores of 36 or above. C. The lowest quiz score was 21. D. Approximately half of the students had a quiz score of 30 4. The box plot shows the test scores earned by students in a biology class. Which statement about the test scores is not tru A. The scores ranged from 65 to 100. B. The median score earned was an 85. C. 25% of students scored less than 75 points on the test. D. 50% of students had scores that ranged from 75 to 85 points. 5. What does the screenshot on the right show about the data being considered? A. A line with positive slope is a good fit for the data. B. A line with negative slope is a good fit for the data. C. A linear function is not a good model for the data. D. An exponential function is the only good model for the data 6. The data below are final exam scores of 10 randomly selected students and the number of hours they studied for the exam. Hours, x 3 5 2 8 2 4 4 5 6 3 Scores, y 65 80 60 88 66 78 85 90 90 71 Predict the score for a student who studied for 8 and a half hours. A. 90 C. 99 B. 92 D. 97 7. Which of the following residual plots illustrates a regression line that would be the best prediction line? B. A. 8. The table below shows the average grades of students of 5 classes in Algebra 1 and then when they were in Algebra 2. Class 1 Class 2 Class 3 Class 4 Class 5 Algebra 1 77 71 83 75 81 Algebra 2 69 82 77 85 76 What conclusions can be drawn from the data? A. The median grade for both classes was the same, but the interquartile range is greater for Algebra 2 than for Algebra 1. B. The mean of the Algebra 1 class is greater than the Algebra 2 class, and the interquartile range is greater for the Algebra 2 class than the Algebra 1 class. C. The mean of the Algebra 2 class was greater than the Algebra 1 class, but the median for the Algebra 1 class were the same for the Algebra 2 class. D. The mean and median grades for the Algebra 2 class were greater than the mean and median grades for Algebra 1 9. The table shows the highest video game scores for 2 players, Aaron and Andy. The data was collected over the past 6 months. April May June July Aaron 750 815 824 874 MEAN 816 Andy 620 768 830 894 778 Who had the greater mean DEVIATION and what was it? A. Andy, 84 B. Aaron, 44.79 C. Andy, 101.52 D. Aaron, 34 10. Rank the students based on their average quiz scores. (highest to lowest) A. Anna, Jim, Stacy, Ted B. Ted, Jim, Stacy, Anna C. All of the above D. None of the above 11. A fast food restaurant wants to determine if the season of the year affects the choice of soft drink size purchased. They surveyed 278 customers and the table below shows their results. The drink sizes were small, medium, large, and jumbo. The seasons of the year were spring, summer, and fall. In the body of the table, the cells list the number of customers that fit both row and column titles. On the bottom and in the right margin are the totals. Spring Summer Small Fall TOTALS 24 22 18 64 Medium 23 28 19 70 Large 18 27 29 74 Jumbo 16 21 33 70 TOTALS 81 98 99 278 What percent of those surveyed purchased the small drinks? A. 23% B. 37.5% C. 34.4% D. 28.1% 12. Using the two-way frequency table below to determine which statement below is TRUE. Foreign Language Enrollment Numbers at Phoenix High School Males Females Total A. B. C. D. Spanish 42 46 88 French 17 31 48 German 29 12 41 Total 88 89 177 There are more students enrolled in Spanish than French and German combined. There are more females taking Spanish than total number of students taking German. There are more males taking foreign language than females. Spanish is the only course in which there are more females than males taking the course. 13. Using the frequency table below. Out of all women in the sample, determine the percent of women that live off campus. A. B. C. D. 25.4% 49.6% 98.3% 52.5% 14. Bob played a game 40 times and the number of points he scored in each game is listed below. 5, 8, 8, 8, 8, 8, 8, 9, 9, 9 11, 11, 11, 11, 11, 12, 12, 12, 12, 12 9, 9, 10, 10, 10, 10, 10, 10, 10, 11 13, 13, 13, 13, 13, 14, 14, 14, 15, 15 Which representation of the data values below is correct? A. B. 4 5 6 7 8 9 10 11 12 13 14 15 16 Bob’s Points C. D. All of the graphs are correct 15 . The graph at the right shows a scatter plot and the associated linear regression of a sample of 10 students’ measurements (their height vs. their shoe size). Using the linear regression model, predict the height of a person that wears a size 11 shoe. A. 6.00 feet B. 6.72 feet C. 10.98 feet D. 47.63 feet 16.What would be the most likely correlation coefficient (r) for the following scatter plot? A. r ≈ 0.922 B. r ≈ 0.356 C. r ≈ – 0.351 D. r ≈ – 0.913 17. The test scores for 2 students are shown in the table. Make a box plot for the two data sets. Which student had the higher tests scores? Student 1 Student 2 A. Student 1 B. Student 2 85 54 63 93 72 77 90 81 78 99 67 84 82 89 53 75 88 83 C. The students are the same D. Cannot be determined 18. After viewing the test scores of an Algebra II class, Ms. Dorsey decided to grade students based on the median score and the variability of the scores. Which graph would best help her decide how to grade the students? A) box-and-whisker plot B) frequency table C) stem-and-leaf D) line plot 19. What is the mean of the data below after the outlier is removed from the set? {73, 85, 70, 86, 75, 90, 23, 74} A)69 B) 72 C) 75 D) 79 20. Jim had a goal of riding his bike for an average (mean) of 90 miles each week. The number of miles he rode each of the first four weeks were 87, 81, 92, and 95. Which value is the minimum number of miles he must ride during the fifth week to meet his goal? A) 89 B) 91 C) 95 D) 102 21. Company A's public relations manager needs information for an ad campaign. The monthly profits through August for Company A are given in the table below. Which measure would best emphasize the success of the company? A. Mean B. Median C. Mode D. Range 22. A class of twenty students was to take a science quiz. Four students were absent. The teacher created the following box-and-whisker plot of the 16 scores she received. The next day the 4 absent students took the quiz. If their scores were 63, 64, 92, and 93, what effect would this have on the lower quartile, the median, and the upper quartile? A) The median would increase, but the upper and lower quartile would stay the same. B) The median would increase, the upper quartile would decrease, and the lower quartile would increase. C) The median would stay the same, the upper quartile would decrease, and the lower quartile would increase. D) The median would stay the same, the upper quartile would increase or stay the same, and the lower quartile would decrease or stay the same. 23. The high temperatures in Concord, CA, for October 1–15, 2005, are given below. Look at the histogram of these data below. What is the error in this histogram? 24. Which data set has a mean less than or equal to 80, a median of 40, and a mode of 75? A) {25, 30, 35, 40, 74, 75, 80} B) {15, 40, 40, 75, 76, 77, 80} C) {0, 38, 39, 40, 75, 75, 300} D) {20, 30, 35, 40, 75, 75, 100} 25. a. {4, 4, 4, 4, 6, 6, 8, 9, 11, 11, 11} c. {2, 3, 4, 4, 5, 7, 8, 9, 11, 13, 14} b. {3, 4, 4, 4, 5, 7, 8, 10, 11, 12, 13} d. {3, 3, 3, 4, 7, 7, 11, 11, 13, 13, 13} 26. Seung used box-and-whisker plots to show the points he scored in his basketball games this season. He used different plots for the home and away game data, and produced the graph below. 0 2 4 6 8 10 12 14 16 18 20 22 24 26 Unfortunately, Seung cannot remember which plot represents the home game data and which represents the away game data. Which fact can he use to determine which set of data was used to create each box-and-whisker plot? a. Seung scored at least 5 points in every home game. b. The mode of the set of away game scores was 14. c. Seung scored 23 points in an away game last week. d. Seung played more home games than away games. Answer KEY: 1 B 2 B 3 D 4 5 6 7 D B C A 8 9 10 11 C A C A 12 B 13 B 14 B 15 16 17 18 A D B A 19 20 21 22 D C A D 23 24 25 26 D D B C