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.
17. Researchers at the Pennsylvania State University conducted experiments with poplar trees in which one group of trees was given fertilizer and irrigation while the other group was given no treatment. The weights in kilograms of trees in the two groups are as follows:
NO treatment: | 0.15 | 0.02 | 0.16 | 0.37 | 0.22 |
Treatment: | 2.03 | 0.27 | 0.92 | 107 | 2.38 |
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