Question

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

विकल्प

• True

• False

Answer 1

This statement is False.

Explanation:

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.