peachies76mp
contestada

Find the population standard deviation (σ not S) for the data set: {75,80,90,95,75,85,55,80,90,95}
Round your answer to the nearest 10th.

Respuesta :

merlynthewhizz
The steps to work out standard deviation is as follows

Step 1: Find the mean of the data

[tex] \frac{75+80+90+95+75+85+55+80+90+95}{10}=82 [/tex]

Step 2: Subtract the mean from each data value

[tex]75-82=-7[/tex]
[tex]80-82=-2[/tex]
[tex]90-82=7[/tex]
[tex]95-82=13[/tex]
[tex]75-82=-7[/tex]
[tex]85-82=3[/tex]
[tex]55-82=-27[/tex]
[tex]80-82=-2[/tex]
[tex]90-82=8[/tex]
[tex]95-82=13[/tex]

Step 3: Add up the answers from step 2[tex] \sqrt{2.9}=1.7 [/tex]

[tex]-2+(-2)+7+13+(-7)+3+(-2)+(-2)+8+13=29[/tex]

Step 4: Divide the answer is step 3 by the number of data

[tex] \frac{29}{10}=2.9 [/tex]

Step 5: Square root the answer in step 4

[tex] \sqrt{2.9} =1.7[/tex]