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Chapter 4 Residents in South Norfolk suspect they have an unusually high number

ID: 3069576 • Letter: C

Question

Chapter 4

Residents in South Norfolk suspect they have an unusually high number of fires compared to the surrounding area. To investigate this, they look at the average number of fires in the entire Hampton Roads regions (this is our population because we don’t care about other regions). Use the following table to calculate these measures of variance.

City

Average fires/week

Deviation

Squared Deviation

South Norfolk

15

Norfolk

9

Virginia Beach

4

Chesapeake

7

Newport News

10

Hampton

6

Lab continues on the next page!

4.1 In the table above, what is (Mu)?

4.2 Calculate the Deviation for each score (show work by putting numbers in table)

4.3 Calculate the Squared Deviation for each score (show work by putting numbers in table)

4.4 What is the Variance?

City

Average fires/week

Deviation

Squared Deviation

South Norfolk

15

Norfolk

9

Virginia Beach

4

Chesapeake

7

Newport News

10

Hampton

6

Explanation / Answer

Ans:

4.1)

Mean(Mu)=51/6=8.5

4.2,4.3)see above table

4.4)Variance=73.5/6=12.25

City Average fires/week(x) Deviation=x-8.5 Squared Deviation=(x-8.5)^2 South Norfolk 15 6.5 42.25 Norfolk 9 0.5 0.25 Virginia Beach 4 -4.5 20.25 Chesapeake 7 -1.5 2.25 Newport News 10 1.5 2.25 Hampton 6 -2.5 6.25 Total= 51 73.5 Average= 8.5 Variance= 12.25
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