Question

Find the variance of the following data set.
Y Y= 11, 13, 25, 15, 12, 18, 17,23,20,16​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

variance of this set is

Step-by-step explanation:

Given distribution is Y= $11,13,25,15,12,17,23,20,16$

Here n =10, and mean $x$' =$\frac{11+13+25+15+12+18+17+23+20+16}{10} =$ $\frac{170}{10} = 17$

Variance  = ∑$\frac{| x - x'|^2}{n}$

$= \frac{6^2+4^2+8^2+2^2+5^2+1^2+0+6^2+3^2+1}{10} = 19$

∴ Variance = 19

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