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Find and interpret the mean absolute deviation of the data. Round your answer to the nearest tenth, if necessary. Prices of microphones (dollars) 25 28 20 22 32 28 35 34 30 36

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Answer:

The Mean Absolute Vale (MAD) is 4.4

Explanation:

The mean absolute deviation is defined as


MAD=(\sum |x_(i)-\mu |)/(N)

Where
\mu is the mean and
N is the total number of data.

The means is defined as


\mu = (\sum x_(i) )/(N)=(25+28+20+22+32+28+35+34+30+36)/(10)=(290)/(10)=29

And,
N=10

Replacing these values, in the MAD formula, we have


MAD=(|25-29|+|28-29|+|20-29|+|22-29|+|32-29|+|28-29|+|35-29|+|34-29|+|30-29|+|36-29|)/(10) \\MAD=(|-4|+|-1|+|-9|+|-7|+|3|+|-1|+|6|+|5|+|1|+|7|)/(10)=(44)/(10)\\ MAD = 4.4

Therefore, the Mean Absolute Vale (MAD) is 4.4

User Evita
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