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