Find the mean, median, and modes of the data set: 91, 93, 89, 97, 89, 98, 94, 93

Mean:

Add up all the numbers and divide by the total number of numbers:

(91 + 93 + 89 + 97 + 89 + 98 + 94 + 93) ÷ 8 = 92

The mean is 92.

Median:

Arrange the numbers in order from smallest to largest:

89, 89, 91, 93, 93, 94, 97, 98

There are 8 numbers, so the median is the average of the two middle numbers:

(93 + 94) ÷ 2 = 93.5

The median is 93.5.

Mode:

The mode is the number(s) that appear the most frequently in the data set.

In this case, both 89 and 93 appear twice, so the modes are 89 and 93.