The mode of a continuous frequency distribution can be estimated using the formula: MCQ with Answer and Explanation

The mode of a continuous frequency distribution can be estimated using the formula:
A. L + [(f₁ - f₀) / (2f₁ - f₀ - f₂)] × h
B. L + [(f₀ - f₁) / (f₀ + f₁)] × h
C. L + (h / 2)
D. L + [(f₁ - f₀) / (f₁ - f₂)] × h
Answer: Option A
Solution (By JKSSB Mock Tests)
For grouped data, mode = L + [(f₁ - f₀) / (2f₁ - f₀ - f₂)] × h, where L=lower limit of modal class, f₁=frequency of modal class, f₀=previous class frequency, f₂=next class frequency, h=class width.

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Practice More Statistics Questions

Question #1
If the arithmetic mean of 25, 30, x, 35, 40 is 33, then x is:
A. 33
B. 35
C. 30
D. 32

Correct Answer: Option B


Explanation:
Sum = 25+30+x+35+40 = 130+x. Mean = (130+x)/5 = 33 ⇒ 130+x=165 ⇒ x=35.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The circular test is satisfied by:
A. Fixed weight aggregates
B. Both A and C
C. Fisher index
D. Chain index using fixed weight price relatives

Correct Answer: Option B


Explanation:
Fixed weight aggregates and chain indices with consistent linking can satisfy circular test, while Fisher does not.

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Question #3
Which of the following is true about the median?
A. It is always greater than the mean.
B. It can be computed for ordinal data.
C. It is based on all observations.
D. It is affected by extreme values.

Correct Answer: Option B


Explanation:
Median requires only ranking, so it is suitable for ordinal data.

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