For a sample with M = 40 and s = 4,about 95% of the individuals will have scores between X = 32 and X = 48.

Question

For a sample with M = 40 and s = 4,about 95% of the individuals will have scores between X = 32 and X = 48.​

Quizplus · Accepted Answer

This is true according to the empirical rule or 68-95-99.7 rule. Approximately 95% of the scores fall within two standard deviations of the mean (M). In this case, two standard deviations would be 2 x 4 = 8. Thus, the range of scores between X = M - 2s and X = M + 2s would be from 40 - 8 = 32 to 40 + 8 = 48.

For a Sample with M = 40 and S =