Assertion (A): For a frequency distribution with unequal class intervals, the histogram is drawn with the area of the rectangle proportional to the class frequency. Reason (R): When class widths are unequal, the frequency density must be used to construct the histogram. Choose the correct option: MCQ with Answer and Explanation

Assertion (A): For a frequency distribution with unequal class intervals, the histogram is drawn with the area of the rectangle proportional to the class frequency. Reason (R): When class widths are unequal, the frequency density must be used to construct the histogram. Choose the correct option:
A. A is true, R is false
B. A is false, R is true
C. Both A and R are true, and R is the correct explanation of A
D. Both A and R are true, but R is not the correct explanation of A
Answer: Option C
Solution (By JKSSB Mock Tests)
In a histogram, area (not height) represents frequency; if intervals are unequal, height = frequency / width (frequency density). So R explains A.

Discuss this Question (0)

No comments yet. Be the first to start the discussion!

Practice More Statistics Questions

Question #1
If P(A)=0.4, P(B)=0.5, and P(A∩B)=0.2, then P(A'∩B') is:
A. 0.3
B. 0.1
C. 0.7
D. 0.5

Correct Answer: Option A


Explanation:
P(A∪B)=0.4+0.5-0.2=0.7. P(A'∩B')=1-0.7=0.3.

This question belongs to: Accountancy and Statistics Statistics
Question #2
In a frequency distribution, the number of observations falling in a class is called:
A. Class mark
B. Class limit
C. Class width
D. Class frequency

Correct Answer: Option D


Explanation:
Class frequency is the count of data points within a particular class interval.

This question belongs to: Accountancy and Statistics Statistics
Question #3
The Total Fertility Rate (TFR) of a population is computed as 3.2 children per woman. If the proportion of female births is 0.48, the GRR is:
A. 6.67
B. 1.5
C. 3.2
D. 1.536

Correct Answer: Option D


Explanation:
GRR = TFR × female proportion = 3.2 × 0.48 = 1.536.

This question belongs to: Accountancy and Statistics Statistics