Data set X: 5, 9, 9, 13 Data set Y: 5, 9, 9, 13, 27 The lists give the values in data sets X and Y. Which statement correctly compares the mean of data set X and the mean of data set Y? A) The mean of data set X is greater than the mean of data set Y. B) The mean of data set X is less than the mean of data set Y. C) The means of data set X and data set Y are equal. D) There is not enough information to compare the means.

To compare the means of the two data sets, we first need to calculate the mean of each data set.

For Data Set X:

• Values: 5, 9, 9, 13
• Number of values (n): 4
• Mean (X) = (5 + 9 + 9 + 13) / 4 = 36 / 4 = 9

For Data Set Y:

• Values: 5, 9, 9, 13, 27
• Number of values (n): 5
• Mean (Y) = (5 + 9 + 9 + 13 + 27) / 5 = 63 / 5 = 12.6

Now we compare the means:

• Mean of X = 9
• Mean of Y = 12.6

Since 9 < 12.6, we conclude that:

B) The mean of data set X is less than the mean of data set Y.