Question

Bernice received the following scores on five science tests:
96 , 77 , 82 , 96 and 89
. Which of the following statements is true?


The median of the set of scores is 82
.


The mean and median of the set of scores are the same.


The mean of the set is greater than the median.


The mode of the set of scores is 96

.

Answer 1

Compute statistics:

- Sort scores: 77, 82, 89, 96, 96.
- Median (middle value) = 89, so "median is 82" is false.
- Mean = (96+77+82+96+89) / 5 = 440/5 = 88, so mean ≠ median and mean is not greater than median (88 < 89).
- Mode (most frequent) = 96.

Therefore the true statement is: "The mode of the set of scores is 96."