EasyMath· Problem-Solving and Data Analysis· One-variable data: Distributions and measures of center and spread· MCQ
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 ?
A
77
B
85
C
86
D
95
Correct answer: C
Explanation
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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id cb_question_bank:1b4a46e5-3584-4c30-994f-c0cb39a136e5 · question 8736334b · IBN 026304-DC
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