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:

$\text{MAD}=\frac{1}{n}\sum ^{\square}_i|x_i-\bar{x}|$

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

In our case,

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

and n=25.

Then,

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

Finally,

$\text{MAD}=\frac{862}{625}\approx1.4$

The answer is 1.4 once rounded.