Question

1. Explain the measure of center and measure of spread that should be used to compare the following data set with other data sets.
15 10 9 21 18 12 14 11 39 8
17 15 13 19 12 1737 24 13 14
A. The median and the interquartile range should be used because the distribution is skewed right, and there are outliers.
B. The median and the standard deviation should be used because the distribution is symmetric, but there are outliers.
C. The mean and the standard deviation should be used because the distribution is symmetric, and there are no outliers.
D. The median and the range should be used because the distribution is skewed right, and there are no outliers.

Answer 1

1. Compare the differences between when the interquartile range should be used to compare measures of spread and when the range should be used.(1 point)
A. The interquartile range should be used when one or more data sets are skewed or have outliers. The range should be used when all of the data sets do not have any outliers.
B. The interquartile range should be used when all of the data sets do not have outliers. The range should be used when at least one of the data sets has outliers.
C. The interquartile range should only be used when all of the data sets are skewed or have outliers. The range should be used when at most one of the data sets has outliers.
D. The interquartile range should be used when all of the data sets are symmetric and do not have outliers. The range should be used when at least one of the data sets is skewed or has outliers.

Answer 2

A. The median and the interquartile range should be used because the distribution is skewed right, and there are outliers.

Answer 3

B. The interquartile range should be used when at least one of the data sets has outliers. The range should be used when all of the data sets do not have any outliers.