If in a moderately skewed distribution mean = 30 and median = 28, the empirical mode is approximately: MCQ with Answer and Explanation

If in a moderately skewed distribution mean = 30 and median = 28, the empirical mode is approximately:
A. 26
B. 32
C. 24
D. 22
Answer: Option C
Solution (By JKSSB Mock Tests)
Using the empirical relation: Mode ≈ 3Median - 2Mean = 3×28 - 2×30 = 84 - 60 = 24.

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Practice More Statistics Questions

Question #1
For a set of values, the sum of squared deviations is minimum when taken from:
A. Median
B. Arithmetic mean
C. Mode
D. Geometric mean

Correct Answer: Option B


Explanation:
The arithmetic mean minimizes the sum of squared deviations.

This question belongs to: Accountancy and Statistics Statistics
Question #2
In constructing a frequency distribution with exclusive class intervals, the upper limit of one class is:
A. Excluded from that class and included in the next higher class
B. Included in that class
C. Always equal to the lower limit of the next class
D. Ignored in frequency counting

Correct Answer: Option A


Explanation:
In exclusive class intervals, the upper limit is not included in the class; observations equal to the upper limit are counted in the next higher class to avoid overlap and ensure mutual exclusivity.

This question belongs to: Accountancy and Statistics Statistics
Question #3
In attribute theory, the class frequency (αB) denotes:
A. Presence of A and B
B. Absence of both A and B
C. Presence of A and absence of B
D. Absence of A and presence of B

Correct Answer: Option D


Explanation:
Greek letters denote absence and capital English letters denote presence. So, α means not-A, and B means presence of B.

This question belongs to: Accountancy and Statistics Statistics