The mean $\bar { x }$ of a data set is 36.71, and the sample standard deviation s is 3.22. Find the interval representing measurements within one standard deviation of the mean.
A) (33.49,39.93)
B) (27.05,46.37)
C) (30.27,43.15)
D) (35.71,37.71)

Question

Quizplus · Accepted Answer

The interval within one standard deviation of the mean is calculated as $\bar{x} \pm s$, which gives us $36.71 \pm 3.22 = (33.49, 39.93)$.

The Mean xˉ\bar { x }xˉ Of a Data Set Is 36

The Mean $\bar { x }$ Of a Data Set Is 36