Discussion
Given below is a data set of temperatures (in °C) :
−6, −8, −2, 3, 2, 0, 5, 4, 8
What is the range of the data?
Answer: B
The range is 16 °C.
The range of a data set is the highest value minus the lowest value. Here the highest temperature is 8 °C and the lowest is −8 °C:
\[ 8 - (-8) = 8 + 8 = 16 \]
Subtracting a negative number adds its size, which is the step the distractors get wrong. 0 °C comes from ignoring the minus sign (8 − 8), and 10 °C from taking −2 as the lowest value; 18 °C does not follow from the data.
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