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# There are 24 different four-digit integers than can be

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Manager
Joined: 17 Jan 2014
Posts: 54
Location: India
Concentration: Operations, Marketing
WE: Supply Chain Management (Manufacturing)
Re: There are 24 different four-digit integers than can be  [#permalink]

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01 Sep 2019, 10:07
because it statistic rule - (mean of no's = sum of total numbers/n).

Marchewski wrote:
For a lack of better approach I just calculated the average and multiplied it by 24.

Largest number is 5432
Smallest number is 2345
Sum is 7777.

$$\frac{7777}{2}*24=7777*12=93,324$$

Calculation is actually easier than the numbers suggest.

I'm not sure why this works. Obviously, the numbers are not an evenly spaced set. But I could see that all the differences from the mean cancel out since the same digest are used in alternating order and the digest are consecutive integers.

I'd appreciate some clarification on this one. Thanks!
Re: There are 24 different four-digit integers than can be   [#permalink] 01 Sep 2019, 10:07

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