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Question
The range of the data 2, –5, 4, 3, 7, 6 would change if 2 was subtracted from each value in the data.
Options
True
False
Solution
This statement is False.
Explanation:
Range before subtraction by 2 = Highest observation – Lowest observation
= 7 – (–5)
= 7 + 5
= 12
Data after subtracting by 2
= 2 – 2, –5 – 2, 4 – 2, 3 – 2, 7 – 2, 6 – 2, i.e. 0, –7, 2, 1, 5, 4
Range = Highest observation – Lowest observation
= 5 – (–7)
= 5 + 7
= 12
So, the range is same.
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