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# Standard deviation question

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Standard deviation question [#permalink]  06 Jul 2006, 06:30
Below is a standard deviation, DS question I recently had. Any help is greatly appreciated...

Is the range of a set greater than 1000?

1) The median of the set is 1000

2) The standard deviation is 500
Manager
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I would be very surprised if the answer is not (E)

I am sure it cannot be (A) and (B) and (D).

(C)? I doubt it..
Senior Manager
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another one for (E)
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Re: Standard deviation question [#permalink]  06 Jul 2006, 17:50
utsv wrote:
Below is a standard deviation, DS question I recently had. Any help is greatly appreciated...

Is the range of a set greater than 1000?

1) The median of the set is 1000

2) The standard deviation is 500

(E)? (1) is INSUFF and with (2) we can't say if the range =1000 or >
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Manager
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Sounds like E to me.
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Zooroopa

Manager
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E aswell.
What if the question was, is the range greater then 999?
Ans would be B right? SD is 500 so min range would be 1000. Correct me if I am wrong.
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St1 is clearly INSUFF

One SD away form the mean covers 68.2% of the values.
Two SD away form the mean covers 95.4% of the values.

Let mean = x
Two SD away on lower side = x-1000
Two SD away on upper side = x+1000

So range will be greater than x+1000 - (x-1000) = 2000 irrespective of value of mean.
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Senior Manager
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ps_dahiya wrote:
St1 is clearly INSUFF

One SD away form the mean covers 68.2% of the values.
Two SD away form the mean covers 95.4% of the values.

Let mean = x
Two SD away on lower side = x-1000
Two SD away on upper side = x+1000

So range will be greater than x+1000 - (x-1000) = 2000 irrespective of value of mean.

B for me too... 2 standard deviations on either side covers 98%.. So there is still 2 more % to go..
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