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# Mean, median, mode, standard deviation

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The following frequency table shows the length of service of a sample of 50 employees with a local insurance company:

Employee Service:

Length of Service Frequency
(Years)

0 to 4 15
5 to 9 14
10 to 14 10
15 to 19 6
20 to 24 5
50
TOTAL:

Using this frequency table,

A)Â Â Â  Calculate the mean years of service
B)Â Â Â Â  Calculate the median years of service
C)Â Â Â  Calculate the modal years of service
D)Â Â Â  Calculate the Standard Deviation of the years of service

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The following frequency table shows the length of service of a sample of 50 employees with a local insurance company:

Employee Service:

Length of Service Frequency
(Years)

0 to 4 15
5 to 9 14
10 to 14 10
15 to 19 6
20 to 24 5

TOTAL: 50

Using this frequency table,

A) Calculate the mean years of service
B) Calculate the median years of service
C) Calculate the modal years of service
D) Calculate the Standard Deviation of the years of service

Calculate the mean years of service

A) Calculate the mean years of service
Col1 Col2 Col3 Col4
Class Mid point (x) Frequency (f) (f ) * ( x )
(4)= (2) x (3)

0 to 4 2 15 30 =2*15
5 to 9 7 14 98 =7*14
10 to 14 12 10 120 =12*10
15 to 19 17 6 102 =17*6
20 to 24 22 5 110 =22*5
Total=n= Î£f 50 Î£f x= 460 =30+98+120+102+110

Mean=Î£f x/ Î£f= 9.20 =460/50