Which measure of central tendency can be used for open‑end distributions? MCQ with Answer and Explanation
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Question #1
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If P(A)=0.4, P(A∪B)=0.7, then the probability of B will be maximum when A and B are:
Correct Answer: Option B
Explanation:
P(A∪B)=P(A)+P(B)-P(A∩B). To maximize P(B) given P(A∪B)=0.7 and P(A)=0.4, set P(A∩B)=P(A)=0.4 (i.e., A⊂B). Then 0.7=0.4+P(B)-0.4 => P(B)=0.7 max.
P(A∪B)=P(A)+P(B)-P(A∩B). To maximize P(B) given P(A∪B)=0.7 and P(A)=0.4, set P(A∩B)=P(A)=0.4 (i.e., A⊂B). Then 0.7=0.4+P(B)-0.4 => P(B)=0.7 max.
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Accountancy and Statistics
Statistics
Question #2
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The property that the sum of squared deviations from the measure is minimum is characteristic of:
Correct Answer: Option D
Explanation:
The arithmetic mean minimizes the sum of squared deviations, i.e., Σ(x - x̄)² is minimum.
The arithmetic mean minimizes the sum of squared deviations, i.e., Σ(x - x̄)² is minimum.
This question belongs to:
Accountancy and Statistics
Statistics
Question #3
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Which graphical representation uses cumulative frequencies?
Correct Answer: Option A
Explanation:
An ogive plots cumulative frequencies against class boundaries.
An ogive plots cumulative frequencies against class boundaries.
This question belongs to:
Accountancy and Statistics
Statistics
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