Question

The school’s football teams’ total points for their last 8 games is provided in the table below. What measure of center would be most appropriate to use? Why? (2 points) Responses Mean because there are no outliers Mean because there are no outliers Median due to outlier of 63 Median due to outlier of 63 Range because there is no outlier Range because there is no outlier Interquartile range due to the outlier of 20

Answer 1

To determine the most appropriate measure of center to use, we need to consider the presence of outliers in the data set.

If the data contains an outlier, the median is generally preferred because it is less affected by extreme values compared to the mean. In your provided options, you mentioned an outlier of 63 and an outlier of 20, which suggests that at least one of these values is significantly different from the others.

• If we assume that 63 is indeed the outlier, then the appropriate measure of center would be the Median due to outlier of 63. This is the best choice because the median will provide a better representation of the typical score while being unaffected by the high outlier.

So the most appropriate response would be: Median due to outlier of 63.