The average yearly high temperature in a certain city is recorded. It is found that the mean temperature is 70.2°F with a standard deviation of 8.2°F. Assuming that the data are normally distributed, in what range should 95% of the data lie?
A)53.8°F - 86.6°F
B)62.0°F - 78.4°F
C)47.7°F - 59.9°F
D)45.6°F - 94.8°F

Question

Quizplus · Accepted Answer

For a normal distribution, 95% of the data lies within approximately 2 standard deviations of the mean. Calculating 2 standard deviations from the mean (70.2 ± 2*8.2) gives the range 53.8°F to 86.6°F.

The Average Yearly High Temperature in a Certain City Is