Find the mean of the following distribution.f is the frequencyxi12345fi458103
Question
Find the mean of the following distribution.f is the frequencyxi12345fi458103
Solution
To find the mean (also known as the average) of a frequency distribution, you need to multiply each value (xi) by its frequency (fi), sum these products, and then divide by the total frequency.
Here are the steps:
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Multiply each value by its frequency: 14 = 4 25 = 10 38 = 24 410 = 40 5*3 = 15
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Sum these products: 4 + 10 + 24 + 40 + 15 = 93
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Sum the frequencies: 4 + 5 + 8 + 10 + 3 = 30
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Divide the sum of the products by the total frequency to find the mean: 93 / 30 = 3.1
So, the mean of the distribution is 3.1.
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