Question

given the mean of a data set is 200 and the standard deviation is 48, where will about 68% of the data lie? 152 to 248 248 to 296 48 to 200

Explanation:

Step1: Recall empirical rule

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

Step2: Calculate lower bound

Lower bound = mean - standard deviation. Given mean = 200 and standard deviation = 48, so lower bound = 200 - 48=152.

Step3: Calculate upper bound

Upper bound = mean + standard deviation. So upper bound = 200 + 48 = 248.

Answer:

152 to 248