Question

the box plots display the same data set for the number of touchdowns a quarterback threw in 10 seasons of play. including outlier as minimum: excluding outlier as minimum: complete the statements describing the effect of the outlier on the measures of variability. the outlier of the data set is. the range of the data set including the outlier as the minimum is more than the one excluding the outlier as the minimum. the outlier had the most effect on the.

Explanation:

Step1: Identify the outlier

The outlier is the value that is far - away from the rest of the data. Looking at the box - plots, the outlier is the value marked with an asterisk. From the number line, it is 5.

Step2: Calculate the range with and without the outlier

Let's assume the maximum value of the data set is 30.
The range without the outlier: Let the minimum value without the outlier be 15 (from the box - plot without the outlier). Range without outlier = 30 - 15=15.
The range with the outlier: The minimum value with the outlier is 5. Range with outlier = 30 - 5 = 25.
The difference in ranges is 25 - 15=10.

Step3: Analyze the effect on measures of variability

The range is most affected by outliers among common measures of variability (range, inter - quartile range). The inter - quartile range (IQR) is less affected as it is based on the middle 50% of the data.

Answer:

The outlier of the data set is 5.
The range of the data set including the outlier as the minimum is 10 more than the one excluding the outlier as the minimum.
The outlier had the most effect on the range.