Question

given the mean of a data set is 7 and the standard deviation is 2, where will about 68% of the data lie? 5 to 9 1 to 2 9 to 10

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 lower bound is $\text{mean}-\text{standard deviation}=7 - 2=5$.
The upper bound is $\text{mean}+\text{standard deviation}=7 + 2=9$.

Answer:

5 to 9