The mean is 40/5=8. Squared deviations sum to 4+0+0+1+1=6. Treating the stated set as the population gives $\sigma=\sqrt{6/5}=1.095$, or 1.1. If a sample estimator were intended it would be √(6/4)=1.2; both lie within the appended grading range 1.0–1.4.
More Probability and statistics questions
GATE 2019 MT Q47– Student A solves a problem with probability 1/3 and student B with probability 2/5.…
GATE 2026 MT Q33– A box contains 20 thermometers, 3 of which are defective. One person randomly draws 2…
GATE 2026 MT Q44– Consider a distribution with probability density f(x)=cases0.5,&0<x<2,\\0,&otherwise.cases…
GATE 2025 MT Q35– A linear regression model was fitted to (x,y) data. The total sum of squares and sum of…
GATE 2024 MT Q11– Independent normally distributed variables X 1,X 2 have means 1, 2 and variances 1, 2.…
GATE 2024 MT Q13– The figure shows normal distributions a,b,c. For distribution p, p is standard deviation…