If the range of discrete data of n observations is zero, then Options: A . &nbspall values of data are zero B . &nbspall values of data are equal to standard deviation C . &nbspall values of data are equal D . &nbspthe extreme values of data are different

If the range of discrete data of n observations is zero, then

Question

If the range of discrete data of n observations is zero, then

Options:

A . all values of data are zero

B . all values of data are equal to standard deviation

C . all values of data are equal

D . the extreme values of data are different

Answer: Option C
:
C
Let m be the least value of the discrete data and M be the maximum value of the discrete data.
Then range = M – m = 0 (hypothesis)

∴

M = m

∴

⩽

each data item

⩽

M = m

\Rightarrow

each data item = m or M i.e, all values of the data are equal.

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