MediumMath· Problem-Solving and Data Analysis· One-variable data: Distributions and measures of center and spread· SPR
If a is the mean and b is the median of nine consecutive integers, what is the value of ?
Correct answer: 0
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Explanation
The correct answer is 0. Any nine consecutive integers can be written as , , , , , , , , . The mean of the integers is their sum divided by 9: , which simplifies to . So . Since there is an odd number of integers (nine), the median is the integer in the middle when all the integers are ordered from least to greatest: . So . Therefore, , which is 0.
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id cb_question_bank:a73a938a-d5cc-4213-aabe-43e9f19bf06c · question 881ef5f5 · IBN 028792-DC
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