The mean absolute deviation is given by the next formula:
![\text{MAD}=\frac{1}{n}\sum ^{\square}_i|x_i-\bar{x}|](https://tex.z-dn.net/?f=%5Ctext%7BMAD%7D%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20%5E%7B%5Csquare%7D_i%7Cx_i-%5Cbar%7Bx%7D%7C)
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}](https://tex.z-dn.net/?f=%5Cbar%7Bx%7D%3D%5Cfrac%7B1%7D%7B25%7D%285%5Ccdot1%2B5%5Ccdot2%2B4%5Ccdot3%2B4%5Ccdot4%2B6%5Ccdot5%2B6%5Ccdot1%29%3D%5Cfrac%7B79%7D%7B25%7D)
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}|)](https://tex.z-dn.net/?f=%5Ctext%7BMAD%7D%3D%5Cfrac%7B1%7D%7B25%7D%285%7C1-%5Cfrac%7B79%7D%7B25%7D%7C%2B5%7C2-%5Cfrac%7B79%7D%7B25%7D%7C%2B4%7C3-%5Cfrac%7B79%7D%7B25%7D%7C%2B4%7C4-%5Cfrac%7B79%7D%7B25%7D%7C%2B6%7C5-%5Cfrac%7B79%7D%7B25%7D%7C%2B%7C6-%5Cfrac%7B79%7D%7B25%7D%7C%29)
Finally,
![\text{MAD}=\frac{862}{625}\approx1.4](https://tex.z-dn.net/?f=%5Ctext%7BMAD%7D%3D%5Cfrac%7B862%7D%7B625%7D%5Capprox1.4)
The answer is 1.4 once rounded.
You didn’t put any question or picture here its useless
Answer:
shifts up 1/2
Step-by-step explanation:
big brain