Using Direct method, calculate the arithmetic mean of the given frequency distribution?

xi: 92, 125, 180, 80

fi: 12, 7, 6, 9

Expert Solution

Weighted Arithmetic Mean of any frequency distribution by direct method is given by the formula:

x̅=∑xifi / ∑fi

Given frequency distribution:

xi: 92, 125, 180, 80

fi: 12, 7, 6, 9

So, x_if_i:1104, 875, 1080, 720

Substitute these values in the above formula as shown below to get x̅:

So, the weighted Arithmetic Mean of the given frequency distribution by direct method is 111.1

Weighted Arithmetic Mean of the given frequency distribution by direct method is 111.1

Shams answered 2 years ago

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