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) (30.27, 43.15)
C) (27.05, 46.37)
D) (35.71, 37.71)

Question

Quizplus · Accepted Answer

The interval within one standard deviation of the mean is calculated as $(\bar{x} - s, \bar{x} + s)$. Here, $\bar{x} = 36.71$ and $s = 3.22$, so the interval is $(36.71 - 3.22, 36.71 + 3.22) = (33.49, 39.93)$.

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

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