Discussion
Identify the pair of values for range and arithmetic mean for the scores 4, 5, 6, 7, 8 :
Answer: C
The range is 4 and the mean is 6, so the answer is 4 and 6.
\[ \begin{aligned} \text{Range} &= 8 - 4 = 4 \\ \bar{x} &= \frac{4 + 5 + 6 + 7 + 8}{5} = \frac{30}{5} = 6 \end{aligned} \]
'3 and 6' gets the mean right but takes the range as one less than the difference. '2 and 5' and '1 and 5' are wrong on both values.
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