By using relation between standard deviation and variance we got that sample with 0.75 variance has a standard deviation that is greater than the variance
What is standard deviation?
Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value
Here we have to find a sample with standard deviation greater than the variance.
We know that Standard deviation is the square root of the variance so if we want a sample with greater Standard deviation than the variance then it's variance should be less than one as we know that if
\(0 < x < 1 \Rightarrow \sqrt x > x\)
And here given variances are
2.25, 1.75,0.75 and 1.25
Hence 0.75 is correct answer
By using relation between standard deviation and variance we got that sample with 0.75 variance has a standard deviation that is greater than the variance
To learn more about standard deviation visit :https://brainly.com/question/12402189
