Question

which measure of central tendency is the best choice for this data set? 5, 8, 12, 5, 11, 9, 8, 9, 9, 10, 6, 12, 82, 9, 7, 10, 10 a.median b.mean c.neither mean nor median d.it makes no difference.

Explanation:

Step1: Identify out - liers

The data set is 5, 8, 12, 5, 11, 9, 8, 9, 9, 10, 6, 12, 82, 9, 7, 10, 10. The value 82 is an out - lier as it is much larger than the other values.

Step2: Recall the effect of out - liers

The mean is affected by out - liers. The out - lier 82 will pull the mean upwards. The median is the middle value when the data is ordered and is not affected by extreme values.

Answer:

A. Median