Question

the sales manager at prize motors tracked truck and suv sales at the car dealership for a sample of 7 months. he recorded the number of trucks and the number of suvs that sold each month in the table. complete the table. write your answers as whole numbers or decimals rounded to the nearest tenth. trucks suvs june july august september october november december 25 22 25 30 28 33 40 30 35 40 32 29 36 50

Explanation:

Step1: Calculate the mean of trucks

The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. For trucks, $n = 7$, and $x=\{25,22,25,30,28,33,40\}$.
$\sum_{i=1}^{7}x_{i}=25 + 22+25+30+28+33+40=203$.
$\bar{x}_{trucks}=\frac{203}{7}=29$.

Step2: Calculate the mean absolute deviation of SUVs

The formula for the mean absolute deviation $MAD=\frac{\sum_{i = 1}^{n}\vert x_{i}-\bar{x}\vert}{n}$. For SUVs, $\bar{x}_{SUVs} = 36$ (given), $n = 7$, and $x=\{30,35,40,32,29,36,50\}$.
$\vert30 - 36\vert=6$, $\vert35 - 36\vert=1$, $\vert40 - 36\vert=4$, $\vert32 - 36\vert=4$, $\vert29 - 36\vert=7$, $\vert36 - 36\vert=0$, $\vert50 - 36\vert=14$.
$\sum_{i = 1}^{7}\vert x_{i}-36\vert=6 + 1+4+4+7+0+14=36$.
$MAD_{SUVs}=\frac{36}{7}\approx5.1$.

Answer:

The mean of trucks is $29$, and the mean absolute deviation of SUVs is approximately $5.1$.