Question

given the mean of a data set is 22 and the standard deviation is 2, where will about 68% of the data lie? choose the correct answer. 20 to 24 22 to 44 10 to 20

Explanation:

Step1: Recall the empirical rule

For a normal - distributed data set, about 68% of the data lies within 1 standard deviation of the mean.

Step2: Calculate the lower and upper bounds

The mean $\mu = 22$ and the standard deviation $\sigma=2$. The lower bound is $\mu-\sigma=22 - 2=20$, and the upper bound is $\mu+\sigma=22 + 2=24$.

Answer:

A. 20 to 24