Concept explainers
Comparing Variations. Consider the following data sets.
a. Find the mean, median and range for each of the two data sets.
b. Give the five-number summary and draw a boxplot for each of the two data sets.
c. Find the standard deviation for each of the two data sets.
d. Apply the range rule of thumb to estimate the standard deviation of each of the two data sets. How well does the rule work in each case? Briefly discuss why it does or does not work well.
e. Based on all your results compare and discuss the two data sets in terms of their center and variation.
18. The following data sets give the approximate lengths of Beethoven’s nine symphonies and nine symphonies (in minutes).
Beethoven: | 28 | 36 | 50 | 33 | 30 | 40 | 38 | 26 | 68 |
Mahler: | 52 | 85 | 94 | 50 | 72 | 72 | 80 | 90 | 80 |
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Using and Understanding Mathematics: A Quantitative Reasoning Approach plus NEW MyMathLab with Pearson eText -- Access Card Package (6th Edition) (Bennett Science & Math Titles)
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