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 of the set is greater than the median. the mean and median of the set of scores are the same. the mode of the set of scores is 96.

Explanation:

Step1: Arrange scores in ascending order

$77, 82, 89, 96, 96$

Step2: Calculate the median

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

Step3: Calculate the mean

The mean $\bar{x}=\frac{77 + 82+89+96+96}{5}=\frac{440}{5}=88$.

Step4: Determine the mode

The mode is the number that appears most frequently. Here, $96$ appears twice and other numbers appear once, so the mode is $96$.

Answer:

D. The mode of the set of scores is 96.