First, determine the range of the data without the outlier.

Then, determine the range of the data with the outlier.
Finally, make a conclusion about the effect of an outlier on range.

How Much Did It Rain Last Spring?

A number line labeled number of days each week ranges from 0 to 7 in increments of 1. It is titled how much did it rain last spring? Data are: 0, 1; 3, 3; 4, 3; 5, 3; 6, 2; 7, 1.
Number of Days Each Week
CLEAR CHECK
The range without the outlier is days.
The range with the outlier is days.
When we add an outlier, the range will never , but it may .

1 answer

The range without the outlier is 7 - 0 = 7 days. (Note: The range is calculated by subtracting the smallest value from the largest value.)

The range with the outlier is 7 - 0 = 7 days as well. The outlier value does not affect the range since it is within the same range as the other data points.

Conclusion: In this case, the outlier does not affect the range. The presence of an outlier may or may not have an effect on the range, depending on its position relative to the rest of the data values.