Question

bernice received the following scores on five science tests: 96, 77, 86, 97, and 89. which of the following statements is true? the median of the set of scores is 86. the mode of the set of scores is 96. the mean and the median of the set of scores are the same. the mean of the set is less than the median.

Explanation:

Step1: Arrange scores in ascending order

$77, 86, 89, 96, 97$

Step2: Calculate the median

Since there are 5 (odd number) scores, the median is the middle - number. So the median is 89.

Step3: Calculate the mode

No score repeats, so there is no mode.

Step4: Calculate the mean

The mean $\bar{x}=\frac{77 + 86+89+96+97}{5}=\frac{445}{5}=89$

Answer:

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