Given the following set of scores: 6,7,5,12,11,9,9,7,6,10,6. The score that represents the standard deviation is
A) 1.8
B) 2.3
C) 2.6
D) 3.0

Question

Quizplus · Accepted Answer

The standard deviation is a measure of the amount of variation or dispersion of a set of values. To find the standard deviation, you first calculate the mean (average) of the scores, then determine each score's deviation from the mean (how far each score is from the mean), square those deviations, average the squared deviations, and finally take the square root of that average. For the given set of scores, the mean is 7.82, and the calculations for deviations, squared deviations, and their mean would result in a standard deviation of approximately 2.3, making option B the correct answer.

Given the Following Set of Scores: 6,7,5,12,11,9,9,7,6,10,6