Question

The quiz scores of few students are
4, 9, 3, 7, 10, 8, 6. If 3 is replaced by 1, the range will

• A. increase
• B. decrease
• C. not change

Answer 1

The correct option is A increase

The given data set is 4, 9, 3, 7, 10, 8, 6.

Let us find the range of the given data.

Range = Maximum - Minimum

Let us arrange the data in ascending order. We get

3, 4, 6, 7, 8, 9, 10

Maximum value = 10

Minimum value = 3

Range = 10 - 3

= 7

$\therefore$ Range= 7

Now, in the data set, 3 is replaced by 1.


Hence, the new data set is 4, 9, 1, 7, 10, 8, 6

Let us arrange the data in ascending order. We get

1, 4, 6, 7, 8, 9, 10

Maximum value = 10

Minimum value = 1

Range = 10 - 1

= 9

Hence, the new range = 9

Hence, the range increases after 3 is replaced by 1.