Answer:
[tex]4\dfrac{2}{7}[/tex]
Step-by-step explanation:
How to calculate the mean absolute deviation:
Step 1: Calculate the mean.
[tex]\text{Mean}=\dfrac{49+55+52+46+47+42+38}{7}=47[/tex]
Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations.
[tex]\begin{array}{ccccccc}\text{Sun}&\text{Mon}&\text{Tue}&\text{Wed}&\text{Thu}&\text{Fri}&\text{Sat}\\49&55&52&46&47&42&38\\2&8&5&1&0&5&9\end{array}[/tex]
Step 3: Add those deviations together.
[tex]\sum|\text{mean}-x_i|=2+8+4+1+0+5+9=30[/tex]
Step 4: Divide the sum by the number of data points.
[tex]\text{MAD}=\dfrac{\sum|\text{mean}-x_i|}{n}=\dfrac{30}{7}=4\dfrac{2}{7}[/tex]
