If a data set has many outliers, which measure of central tendency would be the best to use?

Median

Step-by-step explanation:

The median will be a more accurate description of the dataset. The mean (average) will be more sensitive to outliers that will pull it higher or lower. In contrast, the median is less sensitive to these higher or lower values.

Imagine the following data:

1, 2, 2, 2, 2, 2, 3

The median here is 2 (the middle value) and the mean (average) is 2.

Now imagine this case:

1, 2, 2, 2, 2, 3, 100

Very similar, but one of the 2s is now a 100. Most of the values are really low, but there is one high value (100).

The mean in this case is now much higher! It's 16.

But the median (middle value) is still 2.

As this shows, the mean can be moved around by outliers but the median is less sensitive.

triangle and cube

step-by-step explanation: