The two box and whisker plots shown below illustrate the distribution of the scores for two classes on a recent Statistics final examination. Use the diagram to answer the following questions. Scores on Statistics Final Examination 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 Class B Class A (a) Calculate the range and interquartile range for each class. (b) State the value of 75th percentile (P75) for each class and interpret the meaning of these values. (c) Describe the shape of each distribution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
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The two box and whisker plots shown below illustrate the distribution of the scores for two classes on a
recent Statistics final examination. Use the diagram to answer the following questions.
Scores on Statistics Final Examination
68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95
Class B
Class A
(a) Calculate the range and interquartile range for each class.
(b) State the value of 75th percentile (P75) for each class and interpret the meaning of these values.
(c) Describe the shape of each distribution.
(d) The mean score for one of the classes was found to be 76.5. Which class do you think is
more likely to have this mean score? Give a reason for your answer.
Transcribed Image Text:The two box and whisker plots shown below illustrate the distribution of the scores for two classes on a recent Statistics final examination. Use the diagram to answer the following questions. Scores on Statistics Final Examination 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 Class B Class A (a) Calculate the range and interquartile range for each class. (b) State the value of 75th percentile (P75) for each class and interpret the meaning of these values. (c) Describe the shape of each distribution. (d) The mean score for one of the classes was found to be 76.5. Which class do you think is more likely to have this mean score? Give a reason for your answer.
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(d) The mean score for one of the classes was found to be 76.5. Which class do you think is
more likely to have this mean score? Give a reason for your answer.
Transcribed Image Text:(d) The mean score for one of the classes was found to be 76.5. Which class do you think is more likely to have this mean score? Give a reason for your answer.
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