Question

Find the average distance each data value in the set is from the mean. Round your answer to the nearest tenth, if necessary. Model years of used cars on a lot: 2010,2002,2005,2007,2001

Answer 1

Answer:

The average distance each data value in the set is from the mean is:

                                    2.8

Step-by-step explanation:

We are asked to find the Mean absolute deviation i.e. MAD of the data set.

The data set is:

2010,2002,2005,2007,2001

Mean of the data is:

$Mean=\dfrac{2001+2002+2005+2007+2010}{5}\\\\\\Mean=\dfrac{2025}{5}\\\\\\Mean=2005$

Now, the absolute difference is:

$|2010-2005|=5\\\\|2002-2005|=3\\\\|2005-2005|=0\\\\|2007-2010|=3\\\\|2001-2005|=4$

Now, the mean of these absolute deviation i.e. MAD is:

$MAD=\dfrac{5+3+0+2+4}{5}\\\\\\MAD=\dfrac{14}{5}\\\\\\MAD=2.8$

              Hence, the answer is:

                      2.8

Answer 2

The mean is for the years of the car is 2005