Question

decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). explain your reasoning.
the standard deviation for the heights of a group of 5 - year - old children is smaller than the standard deviation for the heights of a group of children who range in age from 3 to 15.
choose the correct answer.
a. the statement makes sense because the range of data for the heights of a group of 5 - year - old children is larger than the range of data for the heights of a group of children who range in age from 3 to 15.

Explanation:

Standard deviation measures data spread. 5-year-olds have similar heights (small spread), while 3-15 year-olds have heights varying with age (larger spread). So the standard deviation for 5-year-olds is smaller.

Answer:

A. The statement makes sense because the range of data for the heights of a group of 5-year-old children is larger than the range of data for the heights of a group of children who range in age from 3 to 15. (Note: The reasoning in option A has a typo, but it is the only correct choice indicating the statement makes sense; the correct reasoning is that the 5-year-old group has a smaller range/spread.)