16Hit1600
Problem-Solving and Data AnalysisEasy–MediumSample estimate from an interval

Problem-Solving and Data Analysis practice question

A survey based on a random sample reports that a plausible range for the mean weekly grocery spending of all households in a town is $48 to $56. What is the sample's estimate of the mean, in dollars?

Answer: 52

The sample estimate is the centre of the interval: (48 + 56)/2 = 52. The margin of error is 4 either side.

Common wrong answers

If you answered 4
4 is the margin of error, not the estimate.
If you answered 8
8 is the width of the interval.
If you answered 56
56 is the top of the interval, not its centre.

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