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Question
The range of the data 3, 7, 1, –2, 2, 6, –3, –5 would change if 8 was added to each value in the data.
Options
True
False
Solution
This statement is False.
Explanation:
Because, range before adding 8 = Maximum observation – Minimum observation
= 7 – (–5)
= 7 + 5
= 12
Data after adding 8
= 3 + 8, 7 + 8, 1 + 8, –2 + 8, 2 + 8, 6 + 8, – 3 + 8, –5 + 8, i.e. 11, 15, 9, 6, 10, 14, 5, 3
So, the range is same, Range = Maximum observation – Minimum observation = 15 – 3 = 12.
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