Question

given the mean of a data set is 400 and the standard deviation is 17, where will about 68% of the data lie? 383 to 417 17 to 400 400 to 417

Explanation:

Step1: Recall empirical rule

In a normal - distribution, about 68% of the data lies within 1 standard deviation of the mean.

Step2: Calculate lower bound

The lower bound is $\text{Mean}-\text{Standard Deviation}=400 - 17=383$.

Step3: Calculate upper bound

The upper bound is $\text{Mean}+\text{Standard Deviation}=400 + 17=417$.

Answer:

383 to 417