Question

Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars.

Answer 1

The mean absolute deviation is  A. .7 cars.

Answer 2

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.