Discussion
Marks obtained by some students of a class are 36, 37, 31, 42, 23, 38, 17, 18, 35, 25, 29 and 35. The difference of the mean and the range of the data is :
Answer: C
The difference is 5.5.
\[ \begin{aligned} \text{Sum} &= 366, \quad n = 12 \\ \text{Mean} &= 366 / 12 = 30.5 \\ \text{Range} &= 42 - 17 = 25 \\ 30.5 - 25 &= 5.5 \end{aligned} \]
The range is the highest value minus the lowest, 42 and 17. Using 18 as the lowest, or miscounting the 12 values, gives the other options.
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