Question

Calculate the mean deviation about the mean of the following data: 3, 6, 5, 7, 10, 12, 15, 18.​

Answer 1

Answer:

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Answer 2

Answer:

Mean deviation of the data = 4.25

Step-by-step explanation:

Given data

3, 6, 5, 7, 10, 12, 15, 18  

here we need calculate mean deviation of the data from mean

number of elements in given data = 8

mean of the data =  sum of the numbers / 8

                             = 3 +6 +5 +7 +10 +12 +15 +18  / 8

                             = 76 / 8 =  9.5    

deviations of given numbers are

⇒  |3-9.5| , |6-9.5|, |5-9.5 |, |7-9.5|, |10-9.5|, |12- 9.5|, |15-9.5|, |18-9.5|

⇒  6.5 ,  3.5 , 4.5 , 2.5 , 0.5 , 2.5 , 5.5 , 8.5

mean deviation of the data = (6.5 +3.5 +4.5 +2.5 +0.5 +2.5 +5.5 +8.5)/ 8  

                                             = 4.25