- #1

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In one data set that I'm looking at, the min, Q1, median, Q3, and max are: 0, 3900, 18882, 50145.5, 1250000

And the mean is: 46172.04545 or just under Q3.

How can the mean be calculated from those 5 numbers?

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- Thread starter Banaticus
- Start date

- #1

- 32

- 0

In one data set that I'm looking at, the min, Q1, median, Q3, and max are: 0, 3900, 18882, 50145.5, 1250000

And the mean is: 46172.04545 or just under Q3.

How can the mean be calculated from those 5 numbers?

- #2

mathman

Science Advisor

- 7,924

- 467

(min + max + 2(Q1+median+Q3))/8.

- #3

- 16,811

- 7,585

Did you mean estimate? Surely you can see (as mathman pointed out) that you can't get an exact calculation based on just summary numbers.It seems like it should be possible to calculate the mean (usual average) from a 5-number summary of a set of numbers ...

- #4

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- 0

Hmm, ok, thanks. I have one data set where the 5-number summary is: 0, 29496, 68552, 124280, 780575. The mean is 80041.24331 and that approximation comes up with 153153.875, so I guess it's a really rough estimate.

(min + max + 2(Q1+median+Q3))/8.

Sure, why not. If I clearly don't know what I'm talking about, feel free to attempt to fill in the gaps. :)Did you mean estimate?

- #5

Svein

Science Advisor

- 2,143

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You cannot. But if you the distribution is fairly symmetrical (like the familiar bell-curve), the mean and the median are approximately equal.

In one data set that I'm looking at, the min, Q1, median, Q3, and max are: 0, 3900, 18882, 50145.5, 1250000

And the mean is: 46172.04545 or just under Q3.

How can the mean be calculated from those 5 numbers?

- #6

mathman

Science Advisor

- 7,924

- 467

The last number (780575) swamps the other four.Hmm, ok, thanks. I have one data set where the 5-number summary is: 0, 29496, 68552, 124280, 780575. The mean is 80041.24331 and that approximation comes up with 153153.875, so I guess it's a really rough estimate.

Sure, why not. If I clearly don't know what I'm talking about, feel free to attempt to fill in the gaps. :)

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