Consider the following two sample data sets. Set 1: 4 2 9 5 8 Set 2: 9 17 11 2 5 a. Calculate the coefficient of variation for each data set. b. Which data set has more variability? a. The coefficient of variation for set 1 is %. (Round to one decimal place as needed.)
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Consider the following Minitab display of two data sets.
| Variable | N | Mean | SE Mean | StDev | Minimum | Q1 | Median | Q3 | Maximum |
| C1 | 20 | 20.00 | 1.62 | 7.26 | 7.00 | 15.00 | 20.00 | 25.00 | 31.00 |
| C2 | 20 | 20.00 | 1.30 | 5.79 | 7.00 | 20.00 | 22.00 | 22.00 | 31.00 |
(1) What are the respective means? The respective ranges?
| C1 |
C2 |
|
| mean | of c1: range of c1: |
mean of c2: range of c2: |
(2) Which data set seems more symmetric? Why?
a. C2 seems more symmetric because the median is greater than the mean.
b. C1 seems more symmetric because the standard deviation is greater than the standard deviation for C2.
c. C1 seems more symmetric because the mean is equal to the median.
d. C2 seems more symmetric because the interquartile range is smaller than the interquartile range for C1.
(3) Compare the interquartile ranges of the two sets. How do the middle halves of the data sets compare?
a. The C1 distribution has a larger interquartile range that is symmetric around the median.
b. The C2 distribution has a smaller interquartile range that is symmetric around the median.
c. The C1 distribution has a smaller interquartile range that is symmetric around the median.
d. The C2 distribution has a larger interquartile range that is symmetric around the median.
