based on the two data sets represented below, complete the following sentences. data set h data set i answer…

Explanation:

Step1: Identify center of box - and - whisker plots

The center of a box - and - whisker plot is the median. For Data Set H, the median (vertical line in the box) is around 9. For Data Set I, the median is around 12. So, 9<12.

Step2: Identify spread of box - and - whisker plots

The spread can be measured by the inter - quartile range (IQR) or the range. Looking at the box - and - whisker plots, the range of Data Set H is from about 2 to 15, a range of 15 - 2=13. The range of Data Set I is from about 2 to 20, a range of 20 - 2 = 18. Also, the IQR of Data Set H is smaller than that of Data Set I. So, Data Set H has a smaller spread.

Answer:

The center of Data Set H is less than the center of Data Set I. The spread of Data Set H is less than the spread of Data Set I.