The frequency distribution of a variable x isxi : 2 3 1 5fi : 1 2 3 1then the mean is
Question
The frequency distribution of a variable x isxi : 2 3 1 5fi : 1 2 3 1then the mean is
Solution
To calculate the mean (also known as the average), you need to multiply each value of the variable (xi) by its frequency (fi), sum those products, and then divide by the total frequency.
Here are the steps:
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Multiply each xi by its corresponding fi:
21 = 2 32 = 6 13 = 3 51 = 5
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Sum these products:
2 + 6 + 3 + 5 = 16
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Sum the frequencies:
1 + 2 + 3 + 1 = 7
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Divide the sum of the products by the total frequency to get the mean:
16 / 7 = 2.29 (rounded to two decimal places)
So, the mean of the given frequency distribution is approximately 2.29.
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