Question

Select the correct answer.

Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14?
OA. 68% of the data points lie between 10 and 14.
B.
68% of the data points lie between 8 and 12.
O C.
68% of the data points lie between 10 and 18.
O D. 68% of the data points lie between 10 and 16.

Answer 1

C. 68% of the data points lie between 10 and 18.

Step-by-step explanation:

The mean minus one standard deviation (14-4 = 10) is ten, and the mean plus one standard deviation (14 + 4 = 18) is 18. Everything withing the first standard deviation of a normal distribution is 68% of the population, two deviations is 95% of the population, and three deviations is 99% of the population. (According to the Empirical Rule)