Frank wants to know how many people live in each household in his town. He conducts a random survey of 10 people and asks how many people live in their household. His results are shown in the table.


Number of People per Household
1 6 2 4 4 3 5 5 2 8

Calculate the mean absolute deviation of the number of people per household

Respuesta :

The mean absolute deviation for this is 1.6
 

The mean absolute deviation is 1.6.

Given that the number of People per Household

1 6 2 4 4 3 5 5 2 8

We have to determine the mean absolute deviation

What is the mean deviation?

The mean absolute deviation is found by finding the mean, then finding how far each number is to the mean, then finding the mean of that.

The mean is: (1 + 6 + 2 + 4 + 4 + 3 + 5 + 5 + 2 + 8)/10 = 40/10 = 4

The distances of all of the numbers are

(absolute value of the difference between 3.5 and the number)

3,2, 2, 0, 0, 1, 1, 1, 2, 4

The mean of those is: 3+2+2+ 0+ 0+1+1+ 1+ 2+ 4 /10 = 16/10 = 1.6

Therefore the mean absolute deviation is 1.6.

To learn more about the mean absolute deviation visit:

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