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If range and standard deviation of some numbers are equal, then each o
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24 Oct 2024, 08:47
24 Oct 2024, 08:47
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If range and standard deviation of some numbers are equal, then each of the two must be equal to
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Re: If range and standard deviation of some numbers are equal, then each o
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24 Oct 2024, 09:39
24 Oct 2024, 09:39
unclear on this
Re: If range and standard deviation of some numbers are equal, then each o
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24 Oct 2024, 10:07
24 Oct 2024, 10:07
Expert Reply
OE
Range is the difference between the highest & the lowest values of the set, which can be equal to the standard deviation only if all numbers in the set are equal
Also we know that the standard deviation of any set of numbers is always greater than or equal to zero, where zero is the standard deviation in only those sets in which all values are equal and in rest of the cases the standard deviation is strictly positive.
So, the standard deviation as well as the range of the set of equal numbers must be zero. Hence the answer is 0.
Range is the difference between the highest & the lowest values of the set, which can be equal to the standard deviation only if all numbers in the set are equal
Also we know that the standard deviation of any set of numbers is always greater than or equal to zero, where zero is the standard deviation in only those sets in which all values are equal and in rest of the cases the standard deviation is strictly positive.
So, the standard deviation as well as the range of the set of equal numbers must be zero. Hence the answer is 0.
