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

Answer 1

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