Answer: 12.16
Step-by-step explanation:
Answer:
![4\dfrac{2}{7}](https://tex.z-dn.net/?f=4%5Cdfrac%7B2%7D%7B7%7D)
Step-by-step explanation:
How to calculate the mean absolute deviation:
<u>Step 1:</u> Calculate the mean.
![\text{Mean}=\dfrac{49+55+52+46+47+42+38}{7}=47](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3D%5Cdfrac%7B49%2B55%2B52%2B46%2B47%2B42%2B38%7D%7B7%7D%3D47)
<u>Step 2:</u> Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
![\begin{array}{ccccccc}\text{Sun}&\text{Mon}&\text{Tue}&\text{Wed}&\text{Thu}&\text{Fri}&\text{Sat}\\49&55&52&46&47&42&38\\2&8&5&1&0&5&9\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bccccccc%7D%5Ctext%7BSun%7D%26%5Ctext%7BMon%7D%26%5Ctext%7BTue%7D%26%5Ctext%7BWed%7D%26%5Ctext%7BThu%7D%26%5Ctext%7BFri%7D%26%5Ctext%7BSat%7D%5C%5C49%2655%2652%2646%2647%2642%2638%5C%5C2%268%265%261%260%265%269%5Cend%7Barray%7D)
<u>Step 3:</u> Add those deviations together.
![\sum|\text{mean}-x_i|=2+8+4+1+0+5+9=30](https://tex.z-dn.net/?f=%5Csum%7C%5Ctext%7Bmean%7D-x_i%7C%3D2%2B8%2B4%2B1%2B0%2B5%2B9%3D30)
<u>Step 4:</u> Divide the sum by the number of data points.
![\text{MAD}=\dfrac{\sum|\text{mean}-x_i|}{n}=\dfrac{30}{7}=4\dfrac{2}{7}](https://tex.z-dn.net/?f=%5Ctext%7BMAD%7D%3D%5Cdfrac%7B%5Csum%7C%5Ctext%7Bmean%7D-x_i%7C%7D%7Bn%7D%3D%5Cdfrac%7B30%7D%7B7%7D%3D4%5Cdfrac%7B2%7D%7B7%7D)
The equation to this would be:
2t - 3 = Martina's height
Hope this help's you! Happy thanksgiving, here's a turkey!
It is impossible as 8 is bigger than 7 and you can’t take it away ur welcome