For a data set, the coefficient of range is 0.5. The largest observation is 12

Question

For a data set, the coefficient of range is 0.5. The largest observation is 12. Find the smallest observation.

Options:

A . 2

B . 3

C . 4

D . 6

Answer: Option C
:
C
Given that the coefficient of range is 0.5.

\frac{L - S}{L + S} = 0.5 \Rightarrow L = 3 S

Given that L=12.

∴ 3 S = 12 S = 4

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