Question

What is the standard deviation of the following data set:

Answer 1

See Explanation

Step-by-step explanation:

The question is incomplete as the data set are missing. However, I'll use the following data to answer your question:

5,12,3,18,6,8,2,10

Start by calculating the mean:

`Mean = (\sum x)/(n)`

`Mean= (5+12+3+18+6+8+2+10)/(8)`

`Mean= (64)/(8)`

`Mean = 8`

Standard deviation is calculated using:

`SD = \sqrt{((x_i - Mean)^2)/(n)}`

This gives:

`SD = \sqrt{((5 - 8)^2+(12 - 8)^2+(3 - 8)^2+(18 - 8)^2+(6 - 8)^2+(8 - 8)^2+(2 - 8)^2+(10 - 8)^2)/(8)}`

`SD = \sqrt{((-3)^2+(4)^2+(- 5)^2+(10)^2+(-2)^2+(0)^2+( - 6)^2+(2)^2)/(8)}`

`SD = \sqrt{(9+16+25+100+4+0+36+4)/(8)}`

`SD = \sqrt{(194)/(8)}`

`SD = √(24.25)`

`SD = 4.92`

Apply the above steps in the original question, then you will get your correct answer.