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…

To compare the means of data sets X and Y, we need to calculate the mean for each data set.

Data set X:
Values: 5, 9, 9, 13
Mean (X) = (5 + 9 + 9 + 13) / 4
Mean (X) = 36 / 4
Mean (X) = 9

Data set Y:
Values: 5, 9, 9, 13, 27
Mean (Y) = (5 + 9 + 9 + 13 + 27) / 5
Mean (Y) = 63 / 5
Mean (Y) = 12.6

Now we can compare the two means:

• Mean (X) = 9
• Mean (Y) = 12.6

Since 9 < 12.6, we find that:

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