Assertion (A): Median is better than Mean for skewed distributions. Reason (R): Median is entirely immune to extreme values. MCQ with Answer and Explanation

Assertion (A): Median is better than Mean for skewed distributions. Reason (R): Median is entirely immune to extreme values.
A. A is false but R is true
B. Both A and R are true and R is the correct explanation
C. A is true but R is false
D. Both A and R are true but R is NOT the correct explanation
Answer: Option B
Solution (By JKExamLibrary)
Median is a positional average based on rank, so an extreme outlier does not shift the median's location.

This question belongs to: Accountancy and Statistics Statistics

Discuss this Question (0)

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

Practice More Statistics Questions

Question #1 Report Error
The mode of a continuous frequency distribution can be estimated using the formula:
A. L + [(f₀ - f₁) / (f₀ + f₁)] × h
B. L + [(f₁ - f₀) / (2f₁ - f₀ - f₂)] × h
C. L + (h / 2)
D. L + [(f₁ - f₀) / (f₁ - f₂)] × h

Correct Answer: Option B


Explanation:
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.

This question belongs to: Accountancy and Statistics Statistics
Question #2 Report Error
In a frequency distribution, if the class midpoints are 10, 20, 30, 40, the class width is:
A. 15
B. 5
C. 20
D. 10

Correct Answer: Option D


Explanation:
Difference between consecutive midpoints = 10, so class width = 10.

This question belongs to: Accountancy and Statistics Statistics
Question #3 Report Error
An ogive is used to determine:
A. Mean
B. Median
C. Standard deviation
D. Mode

Correct Answer: Option B


Explanation:
The median can be read from the ogive at the N/2 cumulative frequency.

This question belongs to: Accountancy and Statistics Statistics