The range of the data 2,-5, 4, 3, 7, 6 would change if 2 was subtracted from each value in the data.

Question

State whether the statement 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

Data is 2, -5, 4, 3, 7, 6

Range = Highest value – Lowest value = 7 – (-5) = 7 + 5 = 12

After subtracting 2 from each value, data becomes 0, -7, 2, 1, 5, 4

Now, range = Highest value – Lowest value = 5 – (-7) – 5 + 7 = 12

Hence, in both cases range is same.