Question

I need to know number 6SP please I need to find the mean

Answer 1

The mean absolute deviation is given by the next formula:

`\text{MAD}=(1)/(n)\sum ^(\square)_i|x_i-\bar{x}|`

Where n is the number of points in the data set and x with a bar on top is the mean.

In our case,

`\bar{x}=(1)/(25)(5\cdot1+5\cdot2+4\cdot3+4\cdot4+6\cdot5+6\cdot1)=(79)/(25)`

and n=25.

Then,

`\text{MAD}=(1)/(25)(5|1-(79)/(25)|+5|2-(79)/(25)|+4|3-(79)/(25)|+4|4-(79)/(25)|+6|5-(79)/(25)|+|6-(79)/(25)|)`

Finally,

`\text{MAD}=(862)/(625)\approx1.4`

The answer is 1.4 once rounded.