Question

The following table shows the number of ounces of water consumed by several different people during a Fourth of July party at their local park.Select all the statements that correctly describe how the average amount of water will change if Ken's value is excluded from the data sample.A.) The new mean will be 61.75B.) The median will Increase by 2.5C.) The mean and median will both IncreaseD.) The mean will Increase by more than the median

Answer 1

A.) The new mean will be 61.75

Step-by-step explanation

First we need to find the mean and median of the original data

Given the datas

64, 58, 55, 25, 70

Mean = Sum of data/sample size

Mean = 64+58+55+25+70/5

Mean = 272/5

Mean = 54.4

For the median

Rearrange in ascending order first

25, 55), 58, (64, 70

The number at the middle will be the median

Median = 58

If Ken's value is excluded from the data sample, the remaining data will be;

64, 58, 55, 70

Calculate the new mean

New Mean = 64+58+55+70/4

New Mean = 61.75

Hence if Ken's value is excluded from the data sample, the new mean will be 61.75

Mean Difference = 61.75 - 54.4 = 7.35

This shows that the mean increases if Kens value is excluded

For the new median;

64, 58, 55, 70

New median = 58+55/2 = 56.5

This shows that New median decreases.