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A research report states that the average (arithmetic mean)

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A research report states that the average (arithmetic mean) [#permalink] New post 22 Nov 2019, 11:13
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A research report states that the average (arithmetic mean) of 120 measurements was 72.5, the greatest of the 120 measurements was 92.8, and the range of the 120 measurements was 51.6.

The information given above is sufficient to determine the value of which of the following statistics?

Indicate all such statistics.


A. The least of the 120 measurements

B. The median of the 120 measurements

C. The standard deviation of the 120 measurements

D. The sum of the 120 measurements



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[Reveal] Spoiler: OA

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Re: A research report states that the average (arithmetic mean) [#permalink] New post 23 Nov 2019, 15:47
This problem looks like GMAT's data sufficiency problems.
Answers A,D
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Re: A research report states that the average (arithmetic mean) [#permalink] New post 29 Jun 2020, 00:12
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We know that N=120 and µ=72.5, max=92.8, range=51.6.
Let's look at the statements now.

A- Can be calculated. 92.8–x=51.6 so min=41.2.
B- Median is going to be the 60th+61st term/2. This can not be calculated.
C- We need EACH value of the dataset to calculate SD via the formula so this isn't possible.
D- Sum is nothing but µ*Qty which is 92.8*120=8700.
Re: A research report states that the average (arithmetic mean)   [#permalink] 29 Jun 2020, 00:12
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A research report states that the average (arithmetic mean)

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