Data set A and data set B each contain 5 numbers. If the mean of data set A is equal

Question

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 ?

Accepted Answer

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&rsquo;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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