Discussion
Range and Range coefficient of the data -3, -2, -1, 0, 1, 2, 3 are respectively
Answer: D
The range is 6 and the coefficient of range is infinite, so the answer is 6 and \(\infty\).
With the largest value \(L = 3\) and the smallest \(S = -3\):
\[ \begin{aligned} \text{Range} &= L - S = 3 - (-3) = 6 \\ \text{Coefficient} &= \frac{L - S}{L + S} = \frac{6}{0} \end{aligned} \]
Division by zero has no finite value, so the coefficient is taken as infinite, which is why this measure is meaningless for data centred on zero. Options giving the range as 0 forget the sign of -3, and '6 and 0' wrongly treats \(\frac{6}{0}\) as 0.
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