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You take a test and the mean is 68. If the standard deviation is 12 points, find the range of grades that is two standard deviations from the mean.

a) 32 - 104
b) 56 - 80
c) 44 - 92
d) 68 - 92

1 Answer

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Final answer:

The range of grades that is two standard deviations from the mean is from 44 to 92.

Step-by-step explanation:

The range of grades that is two standard deviations from the mean can be found by subtracting and adding two standard deviations from the mean. In this case, the mean is 68 and the standard deviation is 12 points.

To find the lower limit, subtract two standard deviations: 68 - (2 x 12) = 68 - 24 = 44. To find the upper limit, add two standard deviations: 68 + (2 x 12) = 68 + 24 = 92. Therefore, the range of grades that is two standard deviations from the mean is from 44 to 92.

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