Respuesta :
Answer:
The mean absolute deviation for the group is 10
Step-by-step explanation:
The ages of 10 workers at a factory :
18 , 25 , 56 , 42 , 29 , 38 , 54 , 47 , 35 , 30
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = \frac{18+ 25 + 56 + 42 + 29 + 38 + 54 + 47 + 35 + 30 }{10}\\\\Mean = 37.4[/tex]
[tex]MAD =\frac{\sum_{i=1} ^n |x_i-\bar{x}|}{n}[/tex]
[tex]MAD = \frac{|18-37.4|+|25-37.4|+|56-37.4|+|42-37.4|+|29-37.4|+|38-37.4|+|54-37.4|+|47-37.4|+|35-37.4|+|30-37.4|}{10}|18-37.4|}{10}[/tex]
[tex]MAD =\frac{19.4+12.4+18.6+4.6+8.4+0.6+16.6+9.6+2.4+7.4}{10}\\MAD=10[/tex]
Hence the mean absolute deviation for the group is 10
