Question

Find the appropriate measure of spread to compare the number of hits by players in the two leagues. Explain what the measure of spread you used means in your comparison.

A. Range – the difference between the highest and lowest number of hits.
B. Mean – the average number of hits by players in both leagues.
C. Standard Deviation – the measure of the dispersion of hits around the mean.
D. Median – the middle value when hits are arranged in numerical order.

Answer 1

To compare the spread of the number of hits by players in two leagues, the standard deviation is the appropriate measure, as it quantifies the variation of data from the mean.

Step-by-step explanation:

The appropriate measure of spread to compare the number of hits by players in two leagues would be C. Standard Deviation. The standard deviation is the measure of how far the number of hits are spread out from their mean, providing a numerical way to compare the variation in players' performance between the two leagues. If the standard deviation in one league is higher than the other, it indicates greater variability in the number of hits by players in that league. To compare the spread between two leagues, we would look at the standard deviations in each league and interpret the differences.