Discussion

Find the mean of the distribution given below.

Value (x)	4	6	9	10	15
Frequency (f)	5	10	10	7	8

Answer: A

The mean of a frequency distribution is calculated using the formula: Mean = \(\frac{\sum f_i x_i}{\sum f_i}\).

First, we calculate the product of each value and its frequency (fx):

Next, we sum these products: \(\sum f_i x_i = 20 + 60 + 90 + 70 + 120 = 360\).

Then, we sum the frequencies: \(\sum f_i = 5 + 10 + 10 + 7 + 8 = 40\).

Finally, we calculate the mean: Mean = \(\frac{360}{40} = 9\).

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