GATE 2023 IN – Question 53
Five measurements are made using a weighing machine, and the readings are 80 kg, 79 kg, 81 kg, 79 kg and 81 kg. The sample standard deviation of the measurement is ______________ kg (rounded off to two decimal places).
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Show answer and explanation
Correct answer: 0.98 to 1.02
Explanation
The mean is 80 kg. Squared deviations sum to $0+1+1+1+1=4$ kg$^2$. Sample variance divides by $n-1=4$, giving 1 kg$^2$, and sample standard deviation is **1.00 kg**.