Question

norberto received the following scores on his last five spelling tests: 93, 66, 78, 85, and 98. which of the following statements is true? the median of the set of scores is 78. the mean of the set is less than the median. the mean of the set is more than the median. the mode of the set of scores is 93.

Explanation:

Step1: Arrange scores in ascending order

$66,78,85,93,98$

Step2: Find the median

Since there are 5 (odd number) scores, the median is the middle - number. So the median is 85.

Step3: Calculate the mean

The mean $\bar{x}=\frac{66 + 78+85+93+98}{5}=\frac{420}{5}=84$

Step4: Check the mode

No score repeats, so there is no mode.

Answer:

The mean of the set is less than the median.