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 68% 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

68% of the data will lie within one standard deviation of the mean in either direction.

One standard deviation in this case is equal to 8.2°F.

Therefore, we can find the range by adding and subtracting one standard deviation from the mean:

70.2°F +/- 8.2°F = 62.0°F - 78.4°F

So, the correct answer is B.

The Average Yearly High Temperature in a Certain City Is