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
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)(
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
