Question

Based on daily measurements, bob's weight has a mean of 200 pounds with a standard deviation of 16 pounds, while mary's weight has a mean of 125 pounds with a standard deviation of 15 pounds. who has the smaller relative variation?

Answer 1

200/16 = 12.5, and 125/15 = 8.33

When the standard deviations are compared to the mean body weights, it's obvious that Mary's weight varies less in relative terms than Bob's.

Answer 2

Bob has the smaller relative variation.

What is relative variance?

"It is the variance divided by the absolute value of the mean."

For given example,

Bob's weight has a mean of 200 pounds with a standard deviation of 16 pounds.

So, the relative variance for Bob's weight is,

$\Rightarrow R_1=\frac{16}{200}\\\\ \Rightarrow R_1=0.08$

Mary's weight has a mean of 125 pounds with a standard deviation of 15 pounds.

So, the relative variance for Mary's weight is,

$\Rightarrow R_2=\frac{15}{125}\\\\\Rightarrow R_2= 0.12$

Therefore, Bob has the smaller relative variation.

Learn more about the relative variance here:

https://brainly.com/question/19865420

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