Example 2) The ordered array below represents the number of cargo manifests appr

Question

Example 2) The ordered array below represents the number of cargo manifests approved by customs inspectors of the Port of New York in a sample of 35 days: 16, 17, 18, 18, 19,20, 20,2,2, 21, 22, 22, 22, 22, 23,23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27,28, 28, 29, 29,31,31,32, 32 Note: For this sample, the sum of the values is 838, and the sum of the squared differences between each value and the mean is 619.89 2.2) Referring to above Scenario, the range of the customs data is 2.3) Referring to above Scenario, the variance of the customs data is 2.4) Referring to above Scenario, the standard deviation of the customs data is 2.5) Referring to above Scenario, the coefficient of variation of the customs data is percent

Explanation / Answer

ANs 2.2)

Range=Highest Value-Lowest Value=(32-16)=16

Ans 2.3)

Variance=Sum(Xi-Mean)^2/number of observations=619.89/35=17.711

Ans 2.4)

Standard Deviation =Square root(Variance)=(17.711)^(1/2) =4.208

Ans 2.5)

Coefficeint of variation=Standard Deviation/Mean*100=4.208*100/(838/35)=4.208*100/23.94=17.58%

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