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Question

Average age of the people of a country is shown in the following table:

Age (Years)10202030304040505060People303215129

Find out mean age by Direct Method.

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Solution

Given data is:

Age (Years)10202030304040505060People303215129
Lets form a frequency table to find mean by Direct Method,

Age (C.I)Mid-Values(xi)Number of people(fi)fixi102015304502030253280030403515525405045125405060559495fi=98fixi=2810

Here, we use the direct method to compute the value of mean.

¯x=fixifi

¯x=281098

¯x=28.67 (Approximately)

Hence, the average age of the people in the country is 28.67 years.


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