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.

Question

State whether the statement are True or False.

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.

Answer 1

False

Data is 3, 7, 1,-2, 2, 6, -3, -5

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

After adding 8 to each value, data becomes 11, 15, 9, 6, 10, 14, 5, 3

∴ Range = Highest value – Lowest value = 15 – 3 = 12

Hence, in both cases range is same.