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Assertion (A): The mean of first 9 natural numbers is 4.5. Reason (R): Mean = Sum of all the observations/Total number of observations - Mathematics

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Question

Assertion (A): The mean of first 9 natural numbers is 4.5.

Reason (R): Mean = `"Sum of all the observations"/"Total number of observations"`

Options

  • (A) is true, (R) is false.

  • (A) is false, (R) is true.

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

  • Both (A) and (R) are true, and (R) is the incorrect reason for (A).

MCQ
Assertion and Reasoning
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Solution

(A) is true, (R) is false.

Explanation:

The first 9 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9

Then, Mean = `"Sum of all the observation"/"Total number of observation"`

= `(1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)/9`

= `45/9`

= 5

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