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. 0. 7 1. 1 1. 4 2.

Answer 1

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then  the mean absolute deviation of the number of cars is 0.7

What is the mean absolute deviation?

The mean absolute deviation of a data set is the average of the absolute deviations from a central point .

Data we have is

1,1,2,2,2,4

Mean can be calculated as

$&\text { Mean }=\frac{1+1+2+2+2+4}{6}\\ \\&\text { Mean }=\frac{12}{6} \\\\&\text { Mean }=2$

Absolute value between the data points and mean can be calculated as :

$\begin{aligned}&|1-2|=1 \\&|1-2|=1 \\&|2-2|=0 \\&|2-2|=0 \\&|2-2|=0 \\&|4-2|=2\end{aligned}$

Now mean absolute deviation can be calculated as :

$\begin{aligned}&\frac{1+1+0+0+0+2}{6} \\\\&=\frac{4}{6} \\\\&=0.66\end{aligned}$

Rounding to nearest ten

mean absolute deviation=0.7

If number of cars recorded by Lynn is 1, 1, 2, 2, 2, and 4 cars then  the mean absolute deviation of the number of cars is 0.7

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