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 false, R is true
B. Both A and R are true, and R is the correct explanation of A
C. Both A and R are true, but R is not the correct explanation of A
D. A is true, R is false
Answer: Option B
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.

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Practice More Statistics Questions

Question #1
The weighted harmonic mean is used in which of the following situations?
A. Averaging percentages
B. Measuring dispersion
C. Finding the typical value of a symmetric distribution
D. Averaging rates when weights are in the denominator units

Correct Answer: Option D


Explanation:
Weighted harmonic mean is useful when the weights are in the same units as the numerator of a rate.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The geometric mean is not defined when any observation is:
A. A fraction
B. Positive
C. Greater than 1
D. Zero or negative

Correct Answer: Option D


Explanation:
GM requires all values to be strictly positive; zero or negatives make it undefined.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Assertion (A): A good questionnaire should avoid leading questions. Reason (R): Leading questions suggest a particular answer and bias the response. 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, but R is not the correct explanation of A
D. Both A and R are true, and R is the correct explanation of A

Correct Answer: Option D


Explanation:
Leading questions bias respondents, so they must be avoided. R correctly explains A.

This question belongs to: Accountancy and Statistics Statistics