In a statistic class,10 scores were randomly selected with the following results were obtained (mean = 71.5): 74,73,77,77,71,68,65,77,67,66 What is the standard deviation?
A)22.72
B)12.00
C)4.77
D)516.20
E)144.00

Question

Quizplus · Accepted Answer

The formula for standard deviation is √(Σ(x-μ)² / N), where Σ represents the sum of the values, x represents each individual value, μ represents the mean, and N represents the sample size. Using this formula, we get √((3.5² + 1.5² + 5.5² + 5.5² + 0.5² + 3.5² + 6.5² + 5.5² + 4.5² + 5.5²) / 10) = √333.5 / 10 = 4.77. Therefore, the standard deviation is 4.77, which corresponds to option C.

In a Statistic Class,10 Scores Were Randomly Selected with the Following