Population Standard Deviation
Transcript of Population Standard Deviation
![Page 1: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/1.jpg)
3.1 - 1
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
![Page 2: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/2.jpg)
3.1 - 2
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
![Page 3: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/3.jpg)
3.1 - 3
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Calculate the mean
![Page 4: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/4.jpg)
3.1 - 4
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Calculate the mean
![Page 5: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/5.jpg)
3.1 - 5
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
![Page 6: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/6.jpg)
3.1 - 6
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
![Page 7: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/7.jpg)
3.1 - 7
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
353535353535
![Page 8: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/8.jpg)
3.1 - 8
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
10-35353535353535
![Page 9: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/9.jpg)
3.1 - 9
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-25
![Page 10: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/10.jpg)
3.1 - 10
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-2525
![Page 11: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/11.jpg)
3.1 - 11
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515
![Page 12: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/12.jpg)
3.1 - 12
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-5
![Page 13: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/13.jpg)
3.1 - 13
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
![Page 14: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/14.jpg)
3.1 - 14
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Create a column of each value minus the mean
µ = 35
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
![Page 15: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/15.jpg)
3.1 - 15
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Square each deviation from the mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
![Page 16: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/16.jpg)
3.1 - 16
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Square each deviation from the mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625
![Page 17: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/17.jpg)
3.1 - 17
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Square each deviation from the mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625
![Page 18: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/18.jpg)
3.1 - 18
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Square each deviation from the mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625225
![Page 19: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/19.jpg)
3.1 - 19
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Square each deviation from the mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625225
25
![Page 20: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/20.jpg)
3.1 - 20
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Square each deviation from the mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625225
2525
![Page 21: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/21.jpg)
3.1 - 21
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Square each deviation from the mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625225
2525
225
![Page 22: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/22.jpg)
3.1 - 22
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Sum the squared deviations from the
mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625225
2525
225
![Page 23: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/23.jpg)
3.1 - 23
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Nx
2)(
Sum the squared deviations from the
mean
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625225
2525
2251750
![Page 24: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/24.jpg)
3.1 - 24
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625225
2525
2251750
61750
)( 2
Nx
![Page 25: Population Standard Deviation](https://reader034.fdocuments.net/reader034/viewer/2022042706/589c07741a28ab4f598b60db/html5/thumbnails/25.jpg)
3.1 - 25
Example 13: Outdoor PaintAn experimental brand of outdoor paint is tested to see how long it will last before fading (in months). Six cans of the brand constitutes a small population. Find the standard deviation.
10, 60, 50, 30, 40, 20
Months, x µ x - µ (x - µ)2
106050304020
353535353535
-252515-55
-15
625625225
2525
2251750 1.17
61750
)( 2
Nx