Data sets X and Y are summarized in the tables shown, where $a$, \(… | Math SAT Question

Math·Problem-Solving and Data Analysis·One-variable data: Distributions and measures of center and spread

hard

Data Set X Value	Data Set X Frequency	Data Set Y Value	Data Set Y Frequency
$a$	0	$a$	1,900
$b$	5	$b$	500
$c$	19	$c$	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.