Question

The test scores for a math class are shown below.

81, 84, 82, 93, 81, 85, 95, 89, 86, 94
What are the mean, median, and mode of the data set?

Answer 1

To find the mean, we will add up all the scores and divide by the total number of scores:

Mean = (81 + 84 + 82 + 93 + 81 + 85 + 95 + 89 + 86 + 94) / 10
Mean = 875 / 10
Mean = 87.5

To find the median, we first need to arrange the scores in numerical order:

81, 81, 82, 84, 85, 86, 89, 93, 94, 95

Since there are 10 scores, the median will be the average of the middle two scores:

Median = (85 + 86) / 2
Median = 85.5

To find the mode, we need to determine which score occurs most frequently. In this case, the mode is 81 because it appears twice, while all other scores only appear once.

Therefore, the mean is 87.5, the median is 85.5, and the mode is 81.