A frequency distribution has classes 0-10, 10-20, 20-30, 30-40. The median class is 20-30 and the cumulative frequency before this class is 30. If N=80, frequency of median class is 20. The median is: MCQ with Answer and Explanation

A frequency distribution has classes 0-10, 10-20, 20-30, 30-40. The median class is 20-30 and the cumulative frequency before this class is 30. If N=80, frequency of median class is 20. The median is:
A. 23
B. 26
C. 25
D. 24
Answer: Option C
Solution (By JKSSB Mock Tests)
Median = L + (N/2 - cf)/f × h = 20 + (40-30)/20 × 10 = 20 + 10/20×10 = 20 + 5 = 25.

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Practice More Statistics Questions

Question #1
In a frequency distribution, the cumulative frequency of the last class is equal to:
A. Zero
B. Class width
C. Total frequency N
D. Number of classes

Correct Answer: Option C


Explanation:
Cumulative frequency accumulates all frequencies; the last cumulative frequency equals total frequency.

This question belongs to: Accountancy and Statistics Statistics
Question #2
The median can be located graphically using:
A. Histogram
B. Ogive
C. Bar chart
D. Frequency polygon

Correct Answer: Option B


Explanation:
The median is the x-value at N/2 on the less than ogive.

This question belongs to: Accountancy and Statistics Statistics
Question #3
Yule's coefficient of association Q is calculated using frequencies from a:
A. Frequency distribution table
B. Scatter plot
C. Time series data
D. 2×2 contingency table for two binary attributes

Correct Answer: Option D


Explanation:
Yule's Q = [(AB)(αβ) - (Aβ)(αB)] / [(AB)(αβ) + (Aβ)(αB)], requiring the four cell frequencies of a 2×2 table cross-classifying two dichotomous attributes.

This question belongs to: Accountancy and Statistics Statistics