Question

he bowling scores for six people are: 22, 114, 115, 120, 122, 125 What is the most appropriate measure of center?

Answer 1

The median is right for apex

Answer 2

The answer is the median m = 117.5.

Explanation:
let's calculate the three central tendency measures:
- mean = μ = (22 + 114 + 115 + 120 + 122 + 125) / 6 = 103

- median = m: we have 6 values, therefore the median will be the average between the third and the fourth value:
22 114 115 | 120 122 125
m = (115 + 120) / 2 = 117.5

- mode: all the values appear only once, therefore the mode is not applicable.

Since our values are not symmetrically distributed (we have 22 which differs a lot from the other values), the median should be preferred than the mean as best central tendency measure.