Question

Question 48
State whether the statements are True or False.
The range of the data 2, -5, 4, 3, 7, 6 would change, if 2 was subtracted from each value in the data.

Answer 1

False
Range before subtraction by 2 = Highest observation - Lowest observation
= 7 - (- 5) = 7 + 5 = 12
Data after subtract 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.