Data Set 9-2: Scores: 1, 2, 3, 4, 5
-The value of the standard error of the mean for the scores in Data Set 9-2 is
A) 1.581
B) 0.791
C) 0.707
D) 0.632
E) 0.316

Question

Quizplus · Accepted Answer

The standard error of the mean (SEM) is calculated by dividing the standard deviation (SD) by the square root of the sample size (n). For the given data set, the mean (μ) is 3, and the SD is $\sqrt{\frac{(1-3)^2 + (2-3)^2 + (3-3)^2 + (4-3)^2 + (5-3)^2}{5}} = \sqrt{2} = 1.414$. The sample size (n) is 5. Therefore, SEM = SD / $\sqrt{n}$ = 1.414 / $\sqrt{5}$ ≈ 0.632.