Questions

Assertion (A) & Reason (B) MCQ

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4 questions · timed · auto-graded

MCQ 11 Mark
Statement-1 (A): If a = 55.5, N = 100, h = 20, $\Sigma f_i u_i=60$, then $\bar{X}=67.5$.
Statement-2 (R): Mean of a grouped data is given by $\bar{X}=a+h\left(\frac{1}{N} \Sigma f_i u_i\right)$.
  • Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-5
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-5
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true
Answer
Correct option: A.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-5
(a)
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MCQ 21 Mark
Statement-1 (A): The mean of 1, 4, 7, 10,..., 301 is 151.
Statement-2 (R): The mean of the series $a, a+d, a+2 d, \ldots, a+2 n d$, is $a+n d$.
  • Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-4
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-4
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true
Answer
Correct option: A.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-4
(a)
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MCQ 31 Mark
Statement-1 (A): The algebraic sum of the deviations of a frequency distribution from its mean is zero.
Statement-2 (R): Mode of a frequency distribution cannot be determined graphically.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-3
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-3
  • Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true
Answer
Correct option: C.
Statement-1 is true, Statement-2 is false.
(c)
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MCQ 41 Mark
Statement-1 (A): For a moderately asymmetric distribution, Mode - Median = 2 (Median-Mean)
Statement-2 (R): For a symmetric distribution, Mean Median = Mode
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
  • Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
  • C
    Statement-1 is true, Statement-2 is false.
  • D
    Statement-1 is false, Statement-2 is true
Answer
Correct option: B.
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
(b)
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Assertion (A) & Reason (B) MCQ - Maths STD 10 Questions - Vidyadip