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Given the following cumulative frequency table, what is the mean of the distribution?

Value (X) Cumulative Frequency
2 0.05
4 0.40
6 0.45
8 0.70
10 1.00

μX = 2.7
μX = 4
μX = 6.5
μX = 6.8
μX = 20

Respuesta :

Use the cumulative frequencies to figure out what the individual frequencies would be. Check out the attached image for the table of x values with their corresponding frequency (f) values. Note how the partial sums add up to the cumulative frequency values.

Once you know the frequency f values, multiply each x and f pair together in each row. The column labeled "x*f" represents each product. Afterward, add up everything in the x*f column to get the final answer 6.8

Ver imagen jimthompson5910

For the given cumulative frequency table, mean is 6.8

Cumulative frequency table shown below,

Value (X)            Frequency (f)           cumulative frequency          X*f

 2                            0.05                            0.05                                  0.1

 4                            0.35                             0.4                                    1.4

 6                            0.05                            0.45                                  0.3

8                              0.25                            0.70                                  2

10                            0.3                                1.00                                 3

                                                                                                   Sum = 6.8

In cumulative frequency table , mean is the sum of table of, multiplication of value (X) and frequency (f).

Mean = ∑ X*f = 6.8

Therefore, mean [tex]\mu=6.8[/tex]

Learn more about mean here :

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