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What is the absolute deviation of 30 in this data set?

{26, 35, 27, 30, 22}

2
3
5
8​


Sagot :

Answer:

The answer is 2

Step-by-step explanation:

I took the k12 test. Hope this helps!

The correct answer is 2

What is mean absolute deviation?

  • The mean absolute deviation  is a measure of variability that indicates the average distance between observations and their mean.

How to calculate the MAD (Mean absolute deviation)?

  • Take the sum of the absolute value
  • Divide the sum of the absolute value by  the total number of values in the data set.
  • Substract the mean after dividing the sum of the absolute value by  the total number of values in the data set.

Now ,  taking the data {26,35,27,30,22}

Adding the data

26+35+27+30+22 = 140

Now , Divide 140 by the total number of values in data set is 5

Therefore,  140/5 = 28

The mean is 28

Now substract the mean from the absolute deviation of 30

that is  30-28 = 2

Hence , The absolute deviation of 30 is data set is 2.

Learn about the absolute deviation below

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