for each of the populations would a score of x50 be consider

for each of the populations. would a score of x=50 be considered a central score (near the middle of the distribution) or an extreme score (far out in the tail of the distribution)? mean 45 standard deviation 10

Solution

We can determine this by getting the z score.

As

z = (x - u)/sigma = (50-45)/10

z = 0.5

which is not far off from the mean. Usually we sat \"far off\" if it is at least 2 standard deviations from the mean.

Thus, IT IS A CENTRAL SCORE, neat the middle of the distribution. [ANSWER]