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Find the Mean Absolute Deviation for the following data: 6, 1, 3, 8, 5, 11, 1, 5 (Remember to find the mean first and then use the positive value when subtracting the numbers from the mean. Average that total and you will get your MAD)

Sagot :

The Mean Absolute Deviation for the following data: 6, 1, 3, 8, 5, 11, 1, 5 is 2.5

What is mean absolute deviation?

The mean absolute deviation of a dataset is the average distance between each data point and the mean.

mean absolute deviation = [tex]\frac{summation|x-mean|}{n}[/tex]

where

  • n = number of terms

Therefore, let's calculate the mean first.

Arrange the data in ascending order.

1, 1, 3, 5, 5, 6, 8, 11

mean = 1 + 1 + 3 + 5 + 5 + 6 + 8 + 11 / 8 = 40 / 8 = 5

Therefore, let's calculate the distance between each dat point and mean.

|1 - 5| + |1-5| + |3-5| + |5-5| + |5-5| + |6-5| + |8-5| + |11-5|

4 + 4 + 2 + 0 + 0 + 1 + 3 + 6 = 20

Hence,

mean absolute deviation = 20 / 8 = 2.5

learn more on mean absolute deviation here: https://brainly.com/question/14882237

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