Standard Deviation
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Transcript of Standard Deviation
![Page 1: Standard Deviation](https://reader036.fdocuments.net/reader036/viewer/2022062319/5579921dd8b42ae72b8b4c7e/html5/thumbnails/1.jpg)
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Standard Deviation is a number that describes how much data vary or spread out.
Uses difference of each data value from the mean.
The higher the number the more the data is spread out.
![Page 3: Standard Deviation](https://reader036.fdocuments.net/reader036/viewer/2022062319/5579921dd8b42ae72b8b4c7e/html5/thumbnails/3.jpg)
1. Find the mean,
2. Find the difference of each data value from the mean
3. Square each difference
4. Sum all the squared values
ix x
2ix x
x
21
n
ii
x x
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5. Divide the sum by the number of data values minus one, (n – 1)
This value is called the variance,6. Finally take the square root to find the
standard deviation
22 1
1
n
ii
x xs
n
2s
21
1
n
ii
x xs
n
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{6, 8, 9, 8, 7, 5, 6, 7, 6, 8}6 8 9 8 7 5 6 7 6 8
710
x
6 8 9 8 7 5 6 7 6 8
-1 1 2 1 0 -2 -1 0 -1 1
1 1 4 1 0 4 1 0 1 1
x x
2x x
x
21
14n
ii
x x
21 14
1.561 10 1
n
ii
x x
n
21 1.56 1.25
1
n
ii
x xs
n
![Page 6: Standard Deviation](https://reader036.fdocuments.net/reader036/viewer/2022062319/5579921dd8b42ae72b8b4c7e/html5/thumbnails/6.jpg)
Or just do it on your calculator!!!