Data set X: $13, 16, 19, 21, 24, 25, 25, 26, 38$ Data set Y: $13, 16,…

Question

Prompt

Data set X:

13, 16, 19, 21, 24, 25, 25, 26, 38

Data set Y:

13, 16, 19, 21, 24, 25, 25, 26, 33

Data set Y is created by replacing the number

38

in data set X with the number

33

. Which of the following statements is true about the means and medians of data set X and data set Y?

The mean of data set X is greater than the mean of data set Y, and the median of data set X equals the median of data set Y.

The mean of data set X is greater than the mean of data set Y, and the median of data set X is greater than the median of data set Y.

The mean of data set X equals the mean of data set Y, and the median of data set X equals the median of data set Y.

The mean of data set X is less than the mean of data set Y, and the median of dataset X is greater than the median of data set Y.