Question

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

What is the mean absolute deviation of the number of cars? Round to the nearest tenth, if needed.

A. 0.7 cars
B. 1.1 cars
C. 1.4 cars
D. 2 cars

Answer 1

The mean absolute deviation is  A. .7 cars.

Answer 2

Option: A is correct.

0.7 cars.

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=(1+1+2+2+2+4)/(6)\\\\Mean=(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:

`(1+1+0+0+0+2)/(6)\\\\=(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.