Question

Daisy kept track of the number of miles practiced this week for this weekend recital. what is the mean absolute deviation number of minutes she practiced?

Answer 1

We are given a data set and we are asked to find the mean of the values by adding them all together and dividing by the number of data values, likes this:

`\bar{x}=(75+40+90+50+30+90)/(6)`

Solving the operations we get:

`\bar{x}=62.5`

Now we apply the following formula for the mean standard deviation:

`\text{MED}=\frac{\sum ^n_(i\mathop=1)\lvert x_i-\bar{x}\rvert}{n}`

Where "n" is the number of values in the data set. This means that we need to find the difference between each value and the mean, add them all together and divide the result by the number of data values, like this:

`\text{MED}=(\lvert75-62.5\rvert+\lvert40-62.5\rvert+\lvert90-62.5\rvert+\lvert50-62.5\rvert+\lvert30-62.5\rvert+\lvert90-62.5\rvert)/(6)`

Solving the operations we get:

`\text{MED}=(12.5+22.5+27.5+12.5+32.5+27.5)/(6)`

Solving the operations:

`\text{MED}=(135)/(6)=22.5`