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The variables A, B, and C have values o [#permalink]
07 Jan 2013, 10:01

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This post was BOOKMARKED

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A

B

C

D

E

Difficulty:

5% (low)

Question Stats:

89% (01:45) correct
11% (00:00) wrong based on 9 sessions

The variables A, B, and C have values of 15, 20, 25, 30, 35, 40, and 45 with frequencies as indicated by the graphs below. For which of these frequency distributions is the median equal to the mean? A. A only B. B only C. C only D. A and B only E. A, B, and C

Based on previous questions, I know that the answer is D. However, how could I know that graph C should not be chosen without making calculations? Could I answer this questions just seeing the graphs? How? Thanks!

Re: The variables A, B, and C have values o [#permalink]
07 Jan 2013, 10:25

IMO, there is no way you can see the graph of C and judge. You need to calculate for C. For A and B though symmetry should be enough. _________________

The question is not can you rise up to iconic! The real question is will you ?

Re: The variables A, B, and C have values o [#permalink]
07 Jan 2013, 10:37

the y-axis is the # of times the frequency is included in the distribution. For the first two graphs the pattern is uniform (4,3,2,1,2,3,4) and (1,2,3,4,3,2,1). This means the mean = median.

The 3rd graph is scattered (3,3,1,2,4,1,1) and the # of frequencies are not uniform. Therefore mean cannot equal median.

Re: The variables A, B, and C have values o [#permalink]
08 Jan 2013, 01:55

Expert's post

danzig wrote:

The variables A, B, and C have values of 15, 20, 25, 30, 35, 40, and 45 with frequencies as indicated by the graphs below. For which of these frequency distributions is the median equal to the mean? A. A only B. B only C. C only D. A and B only E. A, B, and C

Based on previous questions, I know that the answer is D. However, how could I know that graph C should not be chosen without making calculations? Could I answer this questions just seeing the graphs? How? Thanks!

It is quite evident that frequency distribution follows heterogeneity. So for graph C, mean & median would be not be equal.

Hope this is clear to you now.

-Shalabh Jain _________________

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Re: The variables A, B, and C have values o
[#permalink]
08 Jan 2013, 01:55