Answer:
C. 0.5
Step-by-step explanation:
We know that the relation between Standard Deviation and Variance is given by,
<em>Standard Deviation = √(Variance)</em>
Thus,
A. When Variance = 2.5,⇒ Standard Deviation = 1.58
B. When Variance = 1.75,⇒ Standard Deviation = 1.32
C. When Variance = 0.5,⇒ Standard Deviation = 0.71
D. When Variance = 1.25,⇒ Standard Deviation = 1.12
Hence Variance which has greater Standard deviation is Option C.
Further,
<em>Standard Deviation</em> is the square root of sum of square of the distance of observation from the mean.
where, is mean of the distribution.
And, <em>Variance</em> is the square of the Standard deviation.