Question

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

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

Lower bound = mean−standard deviation. Given mean = 22 and standard deviation = 2, so lower bound = 22 - 2=20.

Step3: Calculate upper bound

Upper bound = mean + standard deviation. So upper bound = 22+2 = 24.
So about 68% of the data lies between 20 and 24.

Answer:

C. 20 to 24