Answer:
![M.A.D=4](https://tex.z-dn.net/?f=M.A.D%3D4)
Step-by-step explanation:
The given data set is :{63, 70, 68, 73, 58, 67}
The mean absolute deviation is the mean of how far all the entries in the data set are from the mean. Follow the procedure below;
- find the mean of the data set
- find the absolute value of the difference between the mean and each entry.
- find the mean of these entries.
The mean is give by:
![\bar X=\frac{\sum x}{n}](https://tex.z-dn.net/?f=%5Cbar%20X%3D%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
![\bar X=\frac{63+70+68+73+58+67}{6}](https://tex.z-dn.net/?f=%5Cbar%20X%3D%5Cfrac%7B63%2B70%2B68%2B73%2B58%2B67%7D%7B6%7D)
![\bar X=\frac{399}{6}=66.5](https://tex.z-dn.net/?f=%5Cbar%20X%3D%5Cfrac%7B399%7D%7B6%7D%3D66.5)
The mean absolute deviation is given by:
![M.A.D=\frac{\sum |x-\bar X|}{n}](https://tex.z-dn.net/?f=M.A.D%3D%5Cfrac%7B%5Csum%20%7Cx-%5Cbar%20X%7C%7D%7Bn%7D)
![M.A.D=\frac{|63-66.5|+|70-66.5|+|68-66.5|+|73-66.5|+|58-66.5|+|67-66.5|}{6}](https://tex.z-dn.net/?f=M.A.D%3D%5Cfrac%7B%7C63-66.5%7C%2B%7C70-66.5%7C%2B%7C68-66.5%7C%2B%7C73-66.5%7C%2B%7C58-66.5%7C%2B%7C67-66.5%7C%7D%7B6%7D)
![M.A.D=\frac{3.5+3.5+1.5+6.5+8.5+0.5}{6}](https://tex.z-dn.net/?f=M.A.D%3D%5Cfrac%7B3.5%2B3.5%2B1.5%2B6.5%2B8.5%2B0.5%7D%7B6%7D)
![M.A.D=\frac{24}{6}=4](https://tex.z-dn.net/?f=M.A.D%3D%5Cfrac%7B24%7D%7B6%7D%3D4)
Answer:
t = (log200)/4 hours
Step-by-step explanation:
10,000 = 50(10)^(4t)
Divide both sides by 50
200 = 10^(4t)
Take the log of both sides
log200 = 4t
Divide both sides by 4
(log200)/4 = t
t = (log200)/4 (exact answer)
t ≈ 0.575257498915995 (numeric approximation)
Answer:
11 units apart
Step-by-step explanation:
You have to count how many units are in between A and B