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The frequency distribution of a variable x is xi : 2 3 1 5 fi : 1 2 3 1 then the mean is

Question

The frequency distribution of a variable x is

  • xi: 2 3 1 5
  • fi: 1 2 3 1

Then the mean is

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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 up these products, and then divide by the total frequency.

Here's how to do it step by step:

  1. Multiply each xi by its corresponding fi: (21) = 2 (32) = 6 (13) = 3 (51) = 5

  2. Sum up these products: 2 + 6 + 3 + 5 = 16

  3. Calculate the total frequency by adding up all the fi: 1 + 2 + 3 + 1 = 7

  4. 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 variable x is approximately 2.29.

This problem has been solved

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