Nina's quiz scores for the quarter are 90, 79, 5, 84, 95, 81, 87, and 94. Which measure of central tendency best

represents the data shown in the table and why?

Median is the best measure of central tendency here because the outlier (the score of 5) would skew the results if mean (or average) was used.

Step-by-step explanation:

Mean (or average) is usually the best measure of central tendency. However, because the quiz scores contain an outlier (the score of 5), using mean would skew the results. It is better to use median here. For example:

Mean (average) = (5 + 79 + 81 + 84 + 87 + 90 + 94 + 95) / 8 = 76.875

Median = (84 + 87) / 2 = 85.5

Since the majority of scores range from 79 to 95, using the mean of 76.9 for central tendency makes no sense. However, using the median of 85.5 for central tendency is a much better choice.