Find the arithmetic mean of observations 8, 1 and 6 with frequency (or weight) 3, 2 and 5 respectively?

Expert Solution

Solution

Calculate x_if_i, ∑x_i, ∑f_i and ∑x_if_i as given below:

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

x̅=∑x_if_i / ∑f_i

Substitute ∑x_if_i= 56 and ∑f_i = 10 in the formula and calculate:

x̅=56/10

x̅=5.6

So, Weighted Arithmetic Mean of the given frequency distribution is 5.6

Weighted Arithmetic Mean of the given frequency distribution is 5.6

Shams answered 2 years ago

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