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

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twinkie999 twinkie999 · Answer 1 · 2017-03-03T21:45:39+01:00

the mean is for the years of the car is 2005

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virtuematane virtuematane · Answer 2 · 2019-06-07T08:09:27+02:00

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

2.8

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:

[tex]Mean=\dfrac{2001+2002+2005+2007+2010}{5}\\\\\\Mean=\dfrac{2025}{5}\\\\\\Mean=2005[/tex]

Now, the absolute difference is:

[tex]|2010-2005|=5\\\\|2002-2005|=3\\\\|2005-2005|=0\\\\|2007-2010|=3\\\\|2001-2005|=4[/tex]

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

[tex]MAD=\dfrac{5+3+0+2+4}{5}\\\\\\MAD=\dfrac{14}{5}\\\\\\MAD=2.8[/tex]

Hence, the answer is:

2.8