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# If sets A and B have the same number of terms, is the

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If sets A and B have the same number of terms, is the [#permalink]  20 May 2012, 22:48
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If sets A and B have the same number of terms, is the standard deviation of set A greater than the standard deviation of set B?

(1) The range of set A is greater than the range of set B.
(2) Sets A and B are both evenly spaced sets.
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Re: If sets A and B have the same number of terms, is the standa [#permalink]  21 May 2012, 00:25
+1 C

1.We dont have enough info. Range could be 2, 10,10,10,20 this will have a lower SD or 2,3,3,3,3,20 will have a higher SD, same range.
2. We don't know the ranges.

Together They have the same number of terms evenly spaced, no repeats, and A has a greater range= Greater SD.
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Re: If sets A and B have the same number of terms, is the [#permalink]  22 May 2012, 08:35
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Yes C is correct,

Standard deviation describes how the values in a set deviate from the mean.

(1) The range of set A is greater than the range of set B.
This gives only the range i.e. outermost values but what about the other values. consider -11,0,0,0,11 and -10,-10,0,10,10
now earlier one has higher range but lower standard deviation.

(2) Sets A and B are both evenly spaced sets.
Evently spaced is oK but what is spacing since that is required to know the deviation.

Both, equal no. of numbers and A has higher range means A has no. with greater spacing so A has more Standard deviation
Re: If sets A and B have the same number of terms, is the   [#permalink] 22 May 2012, 08:35
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