Assertion (A): For a moderately skewed distribution, mean – mode ≈ 3(mean – median). Reason (R): In any skewed distribution, the median always lies between the mean and mode. Choose the correct option:
A.A is true, R is false
B.Both A and R are true, but R is not the correct explanation of A
C.A is false, R is true
D.Both A and R are true, and R is the correct explanation of A
Explanation:
The empirical relationship (A) is true for moderate skewness. In skewed distributions, median lies between mean and mode, but this fact does not directly explain the formula; it's an observed pattern.
Explanation:
An ogive plots cumulative frequencies against class boundaries, providing a visual representation of cumulative distribution and enabling estimation of medians and percentiles.
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