Tammy and wyatt are sales associates

06.03 Data Sets and Outliers

1). Given the box plot, will the mean or the median provide a better description of the center?

The mean, because the data distribution is symmetrical

The median, because the data distribution is symmetrical

The mean, because the data distribution is skewed to the right

The median, because the data distribution is skewed to the right

2). The data set shows the number of people who attended an outdoor fair during the week:

When calculating the average number of people who attended the fair, the organizers claim that they should exclude Wednesday from the data since it rained all day on Wednesday.

Evaluate this claim by selecting the statement that best reflects why the reasoning is either correct or flawed.

The reasoning is flawed. The value for Wednesday is an outlier, but data should never be tampered with.

The reasoning is flawed. The value for Wednesday is not an outlier, and excluding it would make the data impure.

The reasoning is correct. The value for Wednesday is an outlier, and removing it would provide a better estimate of the average number of visitors.

The reasoning is correct. The value for Wednesday is not an outlier, but the value should not be included anyway due to the fact that it rained that day.

3). If the outliers are not included, what is the mean of the data set?

72, 82, 3, 55, 62, 73, 90, 80, 151, 59, 46, 31

59

65

67

73

4). Which of the following is true of the data set represented by the box plot?

The greatest value in the set is 79.

The data is evenly distributed throughout the middle half.

The data has an IQR of 45.

Removing the outliers would not affect the median.

5). When the outliers are removed, how does the mean change?

The mean decreases by 2.75.

The mean increases by 2.75.

The mean increases by 3.25.

There are no outliers.

6). Tammy and Wyatt are sales associates at the same used car dealership. Their supervisor is planning to promote the employee with the best sales numbers, on average. The box plots below show their sales, in thousands of dollars, for the past 2 weeks:

Who should get the promotion, and why?

Wyatt should get the promotion. His data is more evenly distributed, so his sales are more consistent.

Wyatt should get the promotion because he had the highest sales in a single day.

Tammy should get the promotion because her lowest value is higher than Wyatt's lowest value.

Tammy should get the promotion. She has a higher median with a smaller IQR, so her sales are better on average.