Sample Standard Deviation
Transcript of Sample Standard Deviation
![Page 1: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/1.jpg)
3.1 - 1
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
![Page 2: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/2.jpg)
3.1 - 2
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
1
)( 2
n
xxs
![Page 3: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/3.jpg)
3.1 - 3
1
)( 2
n
xxs
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Calculate the mean
![Page 4: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/4.jpg)
3.1 - 4
Example 14: Auto Sales
1
)( 2
n
xxs
Find the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Calculate the mean
![Page 5: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/5.jpg)
3.1 - 5
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
1
)( 2
n
xxs
![Page 6: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/6.jpg)
3.1 - 6
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
1
)( 2
n
xxs
![Page 7: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/7.jpg)
3.1 - 7
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
1
)( 2
n
xxs
![Page 8: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/8.jpg)
3.1 - 8
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
11.2-12.612.612.612.612.612.612.6
1
)( 2
n
xxs
![Page 9: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/9.jpg)
3.1 - 9
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4 1
)( 2
n
xxs
![Page 10: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/10.jpg)
3.1 - 10
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7
1
)( 2
n
xxs
![Page 11: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/11.jpg)
3.1 - 11
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.6
1
)( 2
n
xxs
![Page 12: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/12.jpg)
3.1 - 12
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.2
1
)( 2
n
xxs
![Page 13: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/13.jpg)
3.1 - 13
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.8
1
)( 2
n
xxs
![Page 14: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/14.jpg)
3.1 - 14
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Create a column of each value minus the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1
)( 2
n
xxs
![Page 15: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/15.jpg)
3.1 - 15
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Square each deviation from the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1
)( 2
n
xxs
![Page 16: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/16.jpg)
3.1 - 16
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Square each deviation from the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.96 1
)( 2
n
xxs
![Page 17: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/17.jpg)
3.1 - 17
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Square each deviation from the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.49
1
)( 2
n
xxs
![Page 18: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/18.jpg)
3.1 - 18
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Square each deviation from the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.490.36
1
)( 2
n
xxs
![Page 19: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/19.jpg)
3.1 - 19
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Square each deviation from the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.490.360.04
1
)( 2
n
xxs
![Page 20: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/20.jpg)
3.1 - 20
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Square each deviation from the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.490.360.040.64
1
)( 2
n
xxs
![Page 21: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/21.jpg)
3.1 - 21
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Square each deviation from the mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.490.360.040.642.89
1
)( 2
n
xxs
![Page 22: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/22.jpg)
3.1 - 22
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Sum the squared deviations from the
mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.490.360.040.642.89
1
)( 2
n
xxs
![Page 23: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/23.jpg)
3.1 - 23
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
Sum the squared deviations from the
mean
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.490.360.040.642.896.38
1
)( 2
n
xxs
![Page 24: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/24.jpg)
3.1 - 24
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.490.360.040.642.896.38
5
38.6
1
)( 2
n
xxs
![Page 25: Sample Standard Deviation](https://reader036.fdocuments.us/reader036/viewer/2022082204/5874f37a1a28ab917a8b76bd/html5/thumbnails/25.jpg)
3.1 - 25
Example 14: Auto SalesFind the variance and standard deviation for the amount of European auto sales for a sample of 6 years. The data are in millions of dollars.
11.2, 11.9, 12.0, 12.8, 13.4, 14.3
x
11.211.912.012.813.414.3
12.612.612.612.612.612.6
-1.4-0.7-0.60.20.81.7
1.960.490.360.040.642.896.38 13.1
5
38.6
1
)( 2
n
xxs