Statement-1 (A): The graphical representation of the frequency di… - Vidyadip

MCQ

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) 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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