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Anni [7]
4 years ago
8

What is the mean absolute deviation (MAD) of the data set?

Mathematics
1 answer:
Ksenya-84 [330]4 years ago
8 0

Answer:

\frac{16}{5}

Step-by-step explanation:

The formula for MAD is  attached in the pic below.

<em>X_i are all the x values</em>

<em>x bar is the mean (sum of all the numbers divided by the number of numbers)</em>

<em>n is the number of numbers</em>

<em />

Basically, <em>we subtract the mean (x bar) from each of the values and take the absolute value of it and SUM all of them. Then we divide by the number of numbers.</em>

<em />

Thus, mean = \frac{2+6+8+12+12}{5}=\frac{40}{5}=8

Now, \frac{|2-8|+|6-8|+|8-8|+|12-8|+|12-8|}{5}\\=\frac{6+2+0+4+4}{5}\\=\frac{16}{5}

The MAD is  \frac{16}{5}

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