Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): When evaluating open-ended project work where outlier scores are present, the Median provides a fairer summary of typical student performance than the Mean. Reason (R): The Median is determined by the position of scores rather than their magnitude, making it immune to extreme outliers.
- (a) Both A and R are true and R is the correct explanation of A
- (b) Both A and R are true but R is not the correct explanation of A
- (c) A is true but R is false
- (d) A is false but R is true
A is true: with outliers in open-ended project scoring, the median summarises typical performance more fairly than the mean. R is also true and is precisely the mechanism — the median is a positional statistic fixed by the rank of the middle case, so extreme magnitudes cannot pull it. (b) is wrong because R is not an unrelated truth; it states the exact reason the median resists distortion; (c) misjudges R, which correctly describes the median as positional rather than magnitude-based; (d) denies A, yet the superiority of the median under outliers is standard practice in project assessment.