GATE 2021 XH5 – Question 57

Research Methods and Statistics · Statistics in Psychology: Central tendency and dispersion, normal probability curve, parametric and non-parametric tests, effect size and power analysis · 2 marks · Multiple select

A test score is75 and higher relative scores are more favourable. Which reference distributions give the most favourable standardised interpretation?

Mean55,standard deviation4
Mean60,standard deviation3
Mean65,standard deviation5
Mean50,standard deviation10

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Show answer and explanation

Correct answer: (A) Mean55,standard deviation4; (B) Mean60,standard deviation3

Explanation

Compute z=(75−mean)/SD. The four z scores are5,5,2 and2.5. A and B tie for the largest standardised distance above the mean, so select both. A lower raw reference mean alone is insufficient; dispersion must also be included.

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