Assertion (A): If the values of mode and mean are 60 and 66, respectively, then the value of median is 64.

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Q.
Assertion (A): If the values of mode and mean are 60 and 66, respectively, then the value of median is 64.

Reason (R): $M e d i a n = 1 / 2 (M o d e + 2 \times M e a n)$

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

2 Both, Assertion (A) and Reason (R) are true but Reason (R) is not correct explanation for Assertion (A)

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true.

Ans.
(3)

Using the given formula:

$M e d i a n = 1 / 2 (60 + 2 \times 66) = \frac{1}{2} (60 + 132) = \frac{192}{2} = 96$

So, the median is 96, not 64.

Solution

Q.
Assertion (A): If the values of mode and mean are 60 and 66, respectively, then the value of median is 64.

Reason (R): $M e d i a n = 1 / 2 (M o d e + 2 \times M e a n)$

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

2 Both, Assertion (A) and Reason (R) are true but Reason (R) is not correct explanation for Assertion (A)

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true.

Ans.
(3)

Using the given formula:

$M e d i a n = 1 / 2 (60 + 2 \times 66) = \frac{1}{2} (60 + 132) = \frac{192}{2} = 96$

So, the median is 96, not 64.

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Solution

Q. Assertion (A): If the values of mode and mean are 60 and 66, respectively, then the value of median is 64. Reason (R): Median = 1/2(Mode + 2 × Mean)

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

2 Both, Assertion (A) and Reason (R) are true but Reason (R) is not correct explanation for Assertion (A)

3 Assertion (A) is true but Reason (R) is false.

4 Assertion (A) is false but Reason (R) is true.

Ans. (3) Using the given formula: Median=1/2​(60+2×66)=12(60+132)=1922=96 So, the median is 96, not 64.

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Q.
Assertion (A): If the values of mode and mean are 60 and 66, respectively, then the value of median is 64.

Reason (R): $M e d i a n = 1 / 2 (M o d e + 2 \times M e a n)$

Ans.
(3)

Using the given formula:

$M e d i a n = 1 / 2 (60 + 2 \times 66) = \frac{1}{2} (60 + 132) = \frac{192}{2} = 96$

So, the median is 96, not 64.