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Mathematics

Assertion (A): Mean of first 5 odd natural numbers is 5.

Reason (R): Mean is the middle value of a set of observations.

  1. Assertion (A) is true, Reason (R) is false.

  2. Assertion (A) is false, Reason (R) is true.

  3. Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).

  4. Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).

Statistics

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Answer

The first 5 odd natural numbers are: 1, 3, 5, 7, 9.

The mean (arithmetic average) is calculated as the sum of all observations divided by the number of observations.

Sum = 1 + 3 + 5 + 7 + 9 = 25

Number of observations = 5

Mean = Sum of observationsNumber of observations=255\dfrac{\text{Sum of observations}}{\text{Number of observations}} = \dfrac{25}{5} = 5

∴ Assertion (A) is true.

The mean is the arithmetic average (sum of values divided by the count).

The median is the middle value of a set of observations when they are arranged in ascending or descending order.

∴ Reason (R) is false.

∴ Assertion (A) is true, Reason (R) is false.

Hence, option 1 is the correct option.

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