# Mean, median, mode, standard deviation

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) 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

See Attachment

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#### Solution Preview

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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= Σf 50 Σf x= 460 =30+98+120+102+110

Mean=Σf x/ Σf= 9.20 =460/50

Answer Mean= 9.20

Calculate the median years of ...

#### Solution Summary

Computes Mean, median, mode, standard deviation.