GATE 2025 MN – Question 52

Engineering Mathematics · Probability and Statistics · 2 marks · Numerical answer

Five Fe-grade observations are62,64,63,60,61 percent. Estimate the standard error of their mean,as a percentage to three decimals.

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Show answer and explanation

Correct answer: 0.600 to 0.800

Explanation

The sample mean is62 and squared deviations sum to10. Unbiased sample variance is10/(5−1)=2.5. Standard error is s/√n=√(2.5/5)=√0.5=0.707107%,or0.707%. Do not confuse this with the sample standard deviation1.581%.

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