For a particular population the largest distance deviation b

For a particular population, the largest distance (deviation) between a score and the mean is 11 points. The smallest distance between a score and the mean is 4 points. Therefore, the standard deviation _____.

a.

will be less than 4

b.

will be between 4 and 11

c.

will be greater than 11

d.

It is impossible to say anything about the standard deviation.

Solution

The standard deviation will always be between the smallest and biggest distances from the mean of your data points.

Thus, it is OPTION B: BETWEEN 4 AND 11. [ANSWER, B]