Answer:
the measurements will be wrong because they are overlapping each other. he needs to line them up correctly and measure that way
Important: Use the symbol "^" to denote exponentiation:
<span>x3 – 9x2 + 5x – 45 NO
</span><span>x^3 – 9x^2 + 5x – 45 YES
Look at the first 2 terms. They can be rewritten as x^2(x-9). Then look at the last 2 terms. They can be rewritten as 5(x-9). So, x-9 is the common factor here. Thus, the original expression becomes:
(x^2-5)(x-9).
Note that x^2-5 can be factored, so that the final 3 factors are:
(x-sqrt(5)), (x+sqrt(5)), (x-9).</span>
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.