A researcher records the following scores for attention during a video game task for two samples.Which sample has the largest standard deviation?
Sample A: 10,12,14,16,and 18
Sample B: 20,24,28,32,and 36
A) Sample A
B) Sample B
C) Both samples have the same standard deviation.

Question

Quizplus · Accepted Answer

To calculate the standard deviation, we need to find the average (mean) of each sample, subtract that mean from each individual score, square those differences, find the average of those squares, and then take the square root of that average. Sample B has larger scores overall, which will result in larger differences from the mean and thus a larger standard deviation.

A Researcher Records the Following Scores for Attention During a Video