Question

Assertion (A): For a collection of 11 arrayed data, the median is the middle number.

Reason (R): For the data 5, 9, 7, 13, 10, 11, 10, the median is 13.

Options

• Both A and R are correct and R is the correct explanation for A.

• Both A and R are correct and R is not the correct explanation for A.

• A is true, but R is false.

• Both A and R are true.

Answer 1

A is true, but R is false.

Explanation:

A is true: With an odd number of observations 11, the median is the middle value after arranging the data `(11 + 1)/2` = 6th value.

R is false: The listed data has 7 values, not 11. Sorted: 5, 7, 9, 10, 10, 11, 13. The middle 4th value is 10, so the median is 10, not 13.