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GATE 2024 XH5 (Psychology) – Question 65

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 · Numerical answer

The standard deviation for the following scores: 8, 6, 6, 9, 6, 5, 6, 2 is ________ (rounded off to two decimal places)

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Correct answer: 1.93 to 1.95

Explanation

The mean is $48/8 = 6$. The squared deviations are 4, 0, 0, 9, 0, 1, 0, 16, which add up to 30. For the scores as a whole set (population), $SD = \sqrt{30/8} = 1.94$.