In a distribution with a mean of M = 36 and a standard deviation of SD = 8, a score of 40 would be considered an extreme value.

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Quizplus · Accepted Answer

An extreme value in a distribution is typically one that is very far from the mean. To determine whether a score of 40 is extreme in this particular distribution, we can calculate its z-score:

z = (40 - 36) / 8 = 0.5

A z-score of 0.5 indicates that the score is only half a standard deviation above the mean, which is not particularly extreme. In fact, we would typically consider scores with z-scores of 2 or more (or -2 or less) to be extreme. Therefore, a score of 40 would not be considered extreme in this distribution.

In a Distribution with a Mean of M = 36