Question

The box plots below represent the scores for games played by two high school basketball teams over the last 5 seasons.
Based on these plots, which statement regarding the means of the two data sets is is most likely true?

A The mean score per game is higher for South County High School because the distribution of South County High School's scores is not as skewed as the distribution of Central High School's scores.

B The mean score per game is about the same for both schools because their median scores are about the same.

C The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

D No conclusion can be drawn regarding the means because the box plots only show medians and quartiles.

Answer 1

The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

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