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djverab [1.8K]
3 years ago
8

A sample with which of these variances has a standard deviation that is greater than the variance

Mathematics
2 answers:
KIM [24]3 years ago
8 0
Hello.

The answer is 

C.0.5 

the standard is .50 and all of the other options are larger so it would be c.

Have a nice day
DerKrebs [107]3 years ago
8 0

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.  

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the distribution.

And, <em>Variance</em> is the square of the Standard deviation.

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