Question

what is the mean absolute deviation of the following set of data? 8 4 8 8 10 2 4 4

Explanation:

Step1: Calculate the mean

$\text{Mean}=\frac{8 + 4+8+8+10+2+4+4}{8}=\frac{48}{8}=6$

Step2: Calculate absolute - deviations

$|8 - 6|=2$, $|4 - 6|=2$, $|8 - 6|=2$, $|8 - 6|=2$, $|10 - 6|=4$, $|2 - 6|=4$, $|4 - 6|=2$, $|4 - 6|=2$

Step3: Calculate the mean of absolute - deviations

$\text{Mean Absolute Deviation}=\frac{2+2+2+2+4+4+2+2}{8}=\frac{16}{8}=2$

Answer:

2