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the ages of 10 workers at a factory are shown what is the mean absolute deviation for the group a 10 b 12.7 c 37.4 D 100 18 25 56 42 29 38 54 47 35 30 ​

2 Answers

7 votes

Answer:

10

Explanation:

User Aviva
by
5.1k points
4 votes

Answer:

The mean absolute deviation for the group is 10

Explanation:

The ages of 10 workers at a factory :

18 , 25 , 56 , 42 , 29 , 38 , 54 , 47 , 35 , 30 ​


Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\\\Mean = (18+ 25 + 56 + 42 + 29 + 38 + 54 + 47 + 35 + 30 )/(10)\\\\Mean = 37.4


MAD =\frac{\sum_(i=1) ^n |x_i-\bar{x}|}{n}


MAD = (|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}


MAD =(19.4+12.4+18.6+4.6+8.4+0.6+16.6+9.6+2.4+7.4)/(10)\\MAD=10

Hence the mean absolute deviation for the group is 10

User Grokify
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