Question

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

Answer 1

5.952

Step-by-step 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:

`\begin{gathered} \text{Mean = }(31.8+22.6+13.8+16.4+28.1)/(5) \\ \text{Mean =}(112.7)/(5)=22.54 \end{gathered}`

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:

`(9.26+0.06+8.74+6.14+5.56)/(5)=(29.76)/(5)=5.952`

Therefore, the mean absolute deviation is 5.952