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)

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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 the correct explanation of Assertion (A)

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

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

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

Ans.
(3)

$B y u \sin g f o r m u l a, m e d i a n = 1 / 3 (M o d e + 2 \times M e a n) = 1 / 3 (60 + 2 \times 66) = 1 / 3 (60 + 132) = 64 S o, A s s e r t i o n (A) i s t r u e . B u t t h e f o r m u l a g i v e n i n R e a s o n (R) i s f a l s e .$

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 the correct explanation of Assertion (A)

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

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

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

Ans.
(3)

$B y u \sin g f o r m u l a, m e d i a n = 1 / 3 (M o d e + 2 \times M e a n) = 1 / 3 (60 + 2 \times 66) = 1 / 3 (60 + 132) = 64 S o, A s s e r t i o n (A) i s t r u e . B u t t h e f o r m u l a g i v e n i n R e a s o n (R) i s f a l s e .$

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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 the correct explanation of Assertion (A)

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

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

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

Ans. (3) By using formula, median = 1/3 (Mode + 2 × Mean)= 1/3(60 + 2 × 66)= 1/3(60 + 132) = 64So, Assertion (A) is true.But the formula given in Reason (R) is false.

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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)

$B y u \sin g f o r m u l a, m e d i a n = 1 / 3 (M o d e + 2 \times M e a n) = 1 / 3 (60 + 2 \times 66) = 1 / 3 (60 + 132) = 64 S o, A s s e r t i o n (A) i s t r u e . B u t t h e f o r m u l a g i v e n i n R e a s o n (R) i s f a l s e .$