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One-variable data: Distributions and measures of center and spread SAT question
Math · Problem-Solving and Data Analysis · Easy · Answer it here, explanation included.
Data set A and data set B each contain 5 numbers. If the mean of data set A is equal to the mean of data set B, what is the value of x ?
ExplanationShow
Choice C is correct. The mean of a data set is found by dividing the sum of the values in the data set by the number of values in the data set. Therefore, the mean of data set A is 
, which simplifies to 74. The mean of data set B is represented by the equation 
, or 
. It’s given that the mean of data set A is equal to the mean of data set B. Therefore, the equation 
can be used to solve for x. Multiplying both sides of this equation by 5 yields 
. Subtracting 284 from both sides of this equation yields 
.
Choices A, B, and D are incorrect and may result from calculation errors.
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