Question

mr. Allen have a science test. The average score is 68 and the standard deviation is 12. find the test scores that fall within 2 standard deviations of the mean.

Answer 1

To find the test scores that fall within 2 standard deviations of the mean, we can use the formula:

Lower Bound = Mean - (2 * Standard Deviation)
Upper Bound = Mean + (2 * Standard Deviation)

Given that the average score is 68 and the standard deviation is 12, we can substitute these values into the formula:

Lower Bound = 68 - (2 * 12) = 68 - 24 = 44
Upper Bound = 68 + (2 * 12) = 68 + 24 = 92

Therefore, the test scores that fall within 2 standard deviations of the mean range from 44 to 92.