Assertion (A) & Reason (B) MCQ

MCQ 11 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.

View full question & answer→

MCQ 21 Mark

Statement-1 (A): The graphical representation of the frequency distribution

Marks:	0 - 20	20 - 40	40 - 60	60 - 100
Number of students:	10	15	20	25

is as given in Fig.
Statement-2 (R): In a histogram, the areas of the rectangles are proportional to the frequencies.

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)
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.

View full question & answer→

MCQ 31 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.

View full question & answer→

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.

View full question & answer→

MCQ 51 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)
Both the statements are true. Hence, option (b) is correct.

View full question & answer→

Maths Assertion (A) & Reason (B) MCQ

Test yourself on this topic