Question

The bowling scores for six people are: 22,114,115,120,122,125What is the most appropriate measure of center? A.the median B.the range C.the standard deviation D.the mean

Answer 1

To find the correct answer we have to find the median, the mean, the range

To find the median arrange the scores from smallest to greatest

22, 114, 115, 120, 122, 125

The median is the average of the 2 middle scores

Since the middle scores are 115, and 120, then

The median is

`\begin{gathered} \text{Med}\mathrm{}=(115+120)/(2) \\ \text{Med}\mathrm{}=117.5 \end{gathered}`

The mean is the sum of the scores divided by the number of scores

`\begin{gathered} \text{Mean}=(22+114+115+120+122+125)/(6) \\ \text{Mean}=103 \end{gathered}`

Because of the lower score (22) the mean, not an appropriate measure of center

The range is the difference between the greatest and the smallest score

Since the greatest score is 125 and the smallest score is 22, then

`\begin{gathered} \text{Range}=125-22 \\ \text{Range}=103 \end{gathered}`

It is the same with the mean, then it is also not an appropriate measure of center

The standard deviation is for a sample of scores, then it is not the answer

Then the most appropriate measure of center is the median

The answer is A