Data sets X and Y are summarized in the tables shown, where $a$, $b$,…

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Add the missing Data Set X table: Value a has frequency 0, value b has frequency 5, and value c has frequency 19. Keep the existing Data Set Y table: Value a has frequency 1,900, value b has frequency 500, and value c has frequency 0.

Data sets X and Y are summarized in the tables shown, where

a

b

, and

c

are positive, consecutive integers and

a < b < c

. Which statement comparing the means of the data sets is true?

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

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

The mean of data set Y is 100 times the mean of data set X.

The means of the two data sets are equal.