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

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

2.8

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=(2001+2002+2005+2007+2010)/(5)\\\\\\Mean=(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=(5+3+0+2+4)/(5)\\\\\\MAD=(14)/(5)\\\\\\MAD=2.8`

Hence, the answer is:

2.8