Answer: 14
Step-by-step explanation:
The mean absolute deviation of a dataset is defined as the average distance between each datav alue and the mean.
It is computed by formula:
[tex]\frac{1}{n}\sum^n_{i=1}|x_i-\overline{x}|[/tex]
[tex]\overline{x}=[/tex]average value of the data set
n = number of data values
[tex]x_i[/tex] = data values in the set
[tex]\overline{x}=\frac{21.3+11.5+51.6+35+18.8+49}{6}\\\\=31.2[/tex]
MAD= [tex]\frac{|21.3-31.2|+|11.5-31.2|+|51.6-31.2|+|35-31.2|+|18.8-31.2|+|49-31.2|}{6}[/tex]
= [tex]\frac{9.9+19.7+20.4+3.8+12.4+17.8}{6}[/tex]
=14
Hence, the mean absolute deviation of the set of data = 14
