A data set of intelligence scores was collected from high school seniors. The IQ scores ranged from 82 to 113. Which of the following is probably NOT a reasonable estimate of the standard deviation?
A) 6.2
B) 4.7
C) 35.4
D) All of the above are reasonable estimates.

Question

Quizplus · Accepted Answer

A standard deviation of 35.4 is unusually high for intelligence scores that range from 82 to 113. Standard deviations are typically much smaller than the range of the data, so a value of 35.4 would indicate a highly unusual distribution. Therefore, C is not a reasonable estimate of the standard deviation.

A Data Set of Intelligence Scores Was Collected from High