Value Data set A frequency Data set B frequency 30 2 9 34 4 7 38 5 5 42 7

Question

Value Data set A frequency Data set B frequency 30 2 9 34 4 7 38 5 5 42 7 4 46 9 2 Data set A and data set B each consist of 27 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?

Accepted Answer

Choice A is correct. The mean value of a data set is the sum of the values of the data set divided by the number of values in the data set. When a data set is represented in a frequency table, the sum of the values in the data set is the sum of the products of each value and its frequency. For data set A, the sum of products of each value and its frequency is 30 2 + 34 4 + 38 5 + 42 7 + 46 9 , or 1,094 . It's given that there are 27 values in data set A. Therefore, the mean of data set A is 1,094 27 , or approximately 40.52 . Similarly, the mean of data B is 958 27 , or approximately 35.48 . Therefore, the mean of data set A is greater than the mean of data set B. Choice B is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.

Value	Data set A frequency	Data set B frequency
$30$	$2$	$9$
$34$	$4$	$7$
$38$	$5$	$5$
$42$	$7$	$4$
$46$	$9$	$2$

Question value-