Answer:
Option: A is correct.
0.7 cars.
Step-by-step explanation:
Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars.
The data is already in the increasing order as:
1 1 2 2 2 4
There are total 6 entries.
Also mean of the data is given by:
\(Mean=\dfrac{1+1+2+2+2+4}{6}\\\\Mean=\dfrac{12}{6}\\\\Mean=2\)
now we find the absolute value between the data points and mean as follows:
|1-2|=1
|1-2|=1
|2-2|=0
|2-2|=0
|2-2|=0
|4-2|=2
Now, we find the mean of the following absolute value as:
\(\dfrac{1+1+0+0+0+2}{6}\\\\=\dfrac{4}{6}\\\\=0.66\)
which is approximately equal to 0.7
Hence, the mean absolute deviation of the number of cars is 0.7 cars.
