Question

25,45,67,89,45,34,105,45,67,56 find out standard deviation

Answer 1

Here is your answer...

$\frac{25 + 45 + 67 + 89 + 45 + 34 + 105 + 45 + 67 + 56}{10}$
$\frac{578}{10}$
=57.8

For each number in the set, subtract the mean and square the result.

=(25-57.8)+(45-57.8)+(67-57.8)+(89-57.8)+(45-57.8)+(34-57.8)+(105-57.8)+(45-57.8)+(67-57.8)+(56-57.8)

=(-32.8)^2+(-12.8)^2+(9.2)^2+(31.2)^2+(-12.8)^2+(-23.8)^2+(47.2)^2+(-12.8)^2+(9.2)^2+(-1.8)^2

=1075.84+163.84+84.64+973.44+163.84+566.44+2227.84+163.84+84.64+3.24

=5507.6

Now, find the mean of this total.

5507.6/10=550.76

Finally, take the square root of this number.

√550.76=23.46

The standard deviation is 23.46

Hope it's help you.