For the attached question:
Shouldn't the answer be E?
One evenly spaced set can be:
2,4,6
Another can be
4,6,8
Both have deviation of 2 around mean but second set has higher range.
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Standard Deviation Question
This topic has expert replies
The Range in your two examples is the same.
in a set of 2,4,6
Range = 6-2 = 4
in a set of 4,6,8
Range = 8-4 = 4
So the SD will be the same with the same number of terms and even spacing
If set A has a greater range
{0,5,10)
SD = 5
If set B has a smaller range
{1,2,3}
SD = 1
So answer is C
in a set of 2,4,6
Range = 6-2 = 4
in a set of 4,6,8
Range = 8-4 = 4
So the SD will be the same with the same number of terms and even spacing
If set A has a greater range
{0,5,10)
SD = 5
If set B has a smaller range
{1,2,3}
SD = 1
So answer is C
Right, can't believe I am making such dumb mistakes.
Point is that:
If two sets are evenly spaced and one has greater range than another then the set which has the greater range has standard deviation provided number of elements are same.
Thanks!
Point is that:
If two sets are evenly spaced and one has greater range than another then the set which has the greater range has standard deviation provided number of elements are same.
Thanks!
