medium · GRE Quant
A box plot of Class A's test scores reports a median score of 75. A separate summary statistic gives Class A's mean score as 68. Which statement is supported by the numerical values?
- The distribution of Class A's scores is not symmetric, since a symmetric distribution would have equal mean and median.
- The mean and median must always be equal for any data set, so one of the two reported values here has to be an error somewhere.
- Every student in Class A scored above 68.
- Exactly half of Class A scored below 68.
- Class A's highest score must be exactly 75.
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