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Maths Assertion (A) & Reason (B) MCQ

Graphical Representation of Statistical Data · CBSE STD 9 (CBSE - English Medium). 5 questions.

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Assertion (A) & Reason (B) MCQ

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5 questions · timed · auto-graded

MCQ 11 Mark
Statement-1 (A): A bar graph is a pictorial representation of the numerical data by a number of rectangles of uniform width erected horizontally or vertically with equal spacing between them.
Statement-2 (R): In order to draw the histogram when mid-points of class intervals are given, it is assumed that the frequency corresponding to the variate value a (say) is spread over the interval $a-\frac{h}{2}$ to $a+\frac{h}{2}$, where h is the jump from one value to other.
  • A
    Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-2
  • ✓
    Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-2
  • C
    Statement-1 is True, Statement-2 is False.
  • D
    Statement-1 is False, Statement-2 is True.
Answer
Correct option: B.
Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-2
(B) Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-2
Both the statements are true. Hence, option (b) is correct.
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MCQ 21 Mark
Statement-1 (A): The graphical representation of the frequency distribution
Marks:0 - 2020 - 4040 - 6060 - 100
Number of students:10152025
is as given in Fig.
Statement-2 (R): In a histogram, the areas of the rectangles are proportional to the frequencies.
Image
  • A
    Statement-1 and Statement-2 are True; Statement-2 is a correct explanation for Statement-1
  • B
    Statement-1 and Statement-2 are True; Statement-2 is not a correct explanation for Statement-1
  • ✓
    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) Statement-1 is True, Statement-2 is False.
The histogram shown in Fig. is not a correct representation of the data because the classes are not of the uniform width. Height of the rectangle representing class 60 - 100 should be $\frac{40}{20} \times 25=12.5$ not 25. So, statement- 1 is not true. Statement- 2 is true. Hence, option (c) is correct.
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MCQ 31 Mark
Statement-1 (A): To draw the histogram of a continuous frequency distribution when class marks of class intervals are given, it is assumed that the frequency corresponding to the class mark a is spread over the interval
  • 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-1.
  • ✓
    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): In a histogram, the area of each rectangle is proportional to the class size of the corresponding interval.
Statement-2 (R): To draw the histogram of a continuous frequency distribution with unequal class intervals, the frequencies of classes are adjusted by using the formula:
Adjusted frequency of a class $=\frac{\text { Minimum class size }}{\text { Class size }} \times$ Frequency of the class
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-2
  • B
    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.
  • ✓
    Statement-1 is false, Statement-2 is true.
Answer
Correct option: D.
Statement-1 is false, Statement-2 is true.
D
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MCQ 51 Mark
Statement-1 (A): In a histogram, the areas of each rectangle is proportional to the frequencies of its classes.
Statement-2 (R): In a histogram the lengths or heights of rectangles are proportional to the frequencies.
  • A
    Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
  • B
    Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • ✓
    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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Assertion (A) & Reason (B) MCQ - Maths STD 9 Questions - Vidyadip