The total of all frequencies in a frequency distribution is equal to the: MCQ with Answer and Explanation

The total of all frequencies in a frequency distribution is equal to the:
A. Mean of the frequencies
B. Highest cumulative frequency
C. Width of the highest class
D. Class mark of the last class
Answer: Option B
Solution (By JKSSB Mock Tests)
In a 'less than' cumulative frequency distribution, the final cumulative frequency equals the total number of observations (N).

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Practice More Statistics Questions

Question #1
Two events A and B are said to be mutually exclusive if:
A. P(A ∩ B) = 0
B. P(A ∩ B) = P(A) × P(B)
C. P(A|B) = P(A)
D. P(A ∪ B) = 1

Correct Answer: Option A


Explanation:
Mutually exclusive events cannot occur simultaneously, meaning their intersection is the empty set (probability is zero).

This question belongs to: Accountancy and Statistics Statistics
Question #2
When constructing a frequency polygon, the frequencies are plotted against:
A. Class marks (midpoints)
B. Cumulative frequencies
C. Upper class limits
D. Lower class limits

Correct Answer: Option A


Explanation:
A frequency polygon connects the points formed by the class frequencies plotted at the exact midpoints of the class intervals.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Data on attributes is said to be consistent if:
A. All class frequencies are positive integers
B. Attributes are independent of each other
C. The sum of all frequencies equals the sample size
D. No calculated class frequency is negative, as negative frequencies are impossible

Correct Answer: Option D


Explanation:
Consistency requires that all derived class frequencies (including ultimate classes) are non-negative, as negative counts are logically impossible in real-world data.

This question belongs to: Accountancy and Statistics Statistics