Question

Assertion (A): A group of 7 children’s ages in years are 8, 9, 11, 6, 7, 12, 14. Their median age is 6 years.

Reason (R): Median is the middle number in the arranged group.

Options

• Both A and R are true and R is the correct reason for A.

• Both A and R are true but R is the incorrect reason for A.

• A is true but R is false.

• A is false but R is true.

Answer 1

A is false but R is true.

Explanation:

Arranging the numbers in ascending order = 6, 7, 8, 9, 11, 12, 14

n = 7 observations

Median = `(n + 1)/2`

= `(7 + 1)/2`

= 4th observations

∴ Median = 9

The assertion that their median age is 6 years is false because 6 is the smallest age, not the median. However, the reason that median is the middle number in the arranged group is true since it accurately describes what a median is.