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Find rhe mean absolute deviation of the following set of data31.8, 22.6, 13.8, 16.4, 28.1Answer choices: 112.74.965.95218.78

Sagot :

Answer:

5.952

Explanation:

First, we need to find the mean of the data. So, the sum of all the values divided by the number of values is equal to:

[tex]\begin{gathered} \text{Mean = }\frac{31.8+22.6+13.8+16.4+28.1}{5} \\ \text{Mean =}\frac{112.7}{5}=22.54 \end{gathered}[/tex]

Then, we need to find the absolute difference between each value and the mean, so:

| 31.8 - 22.54 | = 9.26

|22.6 - 22.54 | = 0.06

|13.8 - 22.54 | = 8.74

| 16.4 - 22.54 | = 6.14

| 28.1 - 22.54| = 5.56

Finally, sum the differences and divide them by the number of values:

[tex]\frac{9.26+0.06+8.74+6.14+5.56}{5}=\frac{29.76}{5}=5.952[/tex]

Therefore, the mean absolute deviation is 5.952

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