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
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:
\(Mean=\dfrac{2001+2002+2005+2007+2010}{5}\\\\\\Mean=\dfrac{2025}{5}\\\\\\Mean=2005\)
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