Question

PLEASE HELP

The prices of some new athletic shoes are shown in the table. Price of Athletic Shoes $51.96 $47.50 $46.50 $48.50 $52.95 $78.95 $39.95 b. Identify the outlier in the data set. c. Determine how the outlier affects the mean, median, and mode of the data. d. Tell which measure of center best describes the data with and without the outlier.​

Answer 1

b. The outlier in the data set is the shoe priced at $78.95.

c. The outlier affects the mean by pulling it upward since it is much larger than the other prices. The median is not as affected since it is the middle value in the ordered data set, but it is still slightly shifted to the right. The mode is not affected since none of the prices are repeated.

d. Without the outlier, the median is the best measure of center because it is not as affected by extreme values as the mean, and the data set is not symmetric enough to have a clear mode. With the outlier, the median is still a good measure of center, but the mean is not as reliable due to the impact of the outlier.