Question

Assertion (A): A 'more than' ogive has а descending slope while a 'less than' ogive has an ascending slope.

Reason (R): The cumulative frequencies decrease in a 'more than' type of distribution and increase in a 'less than' type of distribution.

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).

• Assertion (A) is true and Reason (R) is false.

• Assertion (A) is false and Reason (R) is true.

Answer 1

Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

Explanation:

Step 1 – Assertion: A is true. A 'more than' ogive slopes downward, while a 'less than' ogive slopes upward.

Step 2 – Reason: R is true. 'More than' cumulative frequencies decrease, whereas 'less than' cumulative frequencies increase.

Step 3 – Link: These decreasing and increasing cumulative frequencies produce the descending and ascending slopes stated in A, respectively; therefore, R correctly explains A.