Find the arithmetic mean of the following frequency distribution

Asked by admin @ 13/08/2021 in Accountancy viewed by 494 People

Calculate the arithmetic mean of the following frequency distribution by Direct Method

Class IntervalFrequencyClass Interval 10-20 20-40 40-70 70-120 120-200Frequency 10 12 8 20 11 4 5

Answered by admin @ 13/08/2021

Given:

Class Interval 10-20 20-40 40-70 70-120 120-200

Frequency 10 12 8 20 11 4 5

To find:

Calculate the arithmetic mean of the following frequency distribution by Direct Method

Solution:

From given, we have,

Class Interval 10-20 20-40 40-70 70-120 120-200

Frequency 10 12 8 20 11 4 5

xi: 15 30 55 95 160

fi: 10 12 8 20 11

fi × xi: 150 360 440 1900 1760

Mean = ∑ fi × xi / ∑ fi

= (150 + 360 + 440 + 1900 + 1760) / (10 + 12 + 8 + 20 + 11)

= 4610/61

= 75.57

Therefore, the arithmetic mean of the given frequency distribution by the Direct Method is 75.57

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