Jeremy scored 85, 90, 72, 88, and 92 on five math tests, for a mean of 85.4. On the sixth test he scored a 95. He calculates his mean score for all 6 tests as shown below, but Deronda says he is incorrect. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.

Jeremy’s Work

The mean of my first 5 test scores was 85.4, so to find the mean of all 6 test scores, I just need to find the mean of 85.4 and 95.

Mean = \(\cfrac{85.4 + 95}{2} = \cfrac{180.4}{2} = 90.2\).

So, my mean score for all 6 tests is 90.2.

Deronda’s Work

To find the mean of all 6 test scores, you need to add up all 6 scores and divide by 6.

Mean = \(\cfrac{85 + 90 + 72 + 88 + 92 + 95}{6} = \cfrac{522}{6} = 87\).

So, Jeremy’s mean score for all 6 tests is 87.

Alex took a standardized test 4 times. His test scores were 16, 28, 24, and 32.

The mean of the test scores is _____.

The median of the test scores is _____.

The mode of the test scores is _____.