Question

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

Answer 1

Answer:

4.1 correct answer please

Answer 2

Answer:

Mean deviation of the given data = 4.25

Step-by-step explanation:

Given data  3, 6, 5, 7, 10, 12,15,18  

here we need to find mean deviation of the data

the formula for mean deviation =  [Σ |x – µ|]/N    

here   x = each value in given data

          μ = mean of the data

         N = number of values in data

⇒ mean of the data μ = sum of the values ÷ number of values

                                    = $\frac{3+6+5+7+10+12+15+18}{8}$  = 76/8 = 9.5

⇒ now subtract mean from each data values

 ⇒  3 - 9.5  = - 6.5              

      6 - 9.5  =  - 3.5

      5 - 9.5  =  - 4.5

      7 - 9.5  =  -  2.5

      10 - 9.5 =  - 0.5

      12 - 9.5 =   2.5

      15 - 9.5 =   5.5

      18 - 9.5 =  8.5    

⇒  [Σ |x – µ|] =  6.5+3.5+ 4.5+ 2.5+ 0.5+ 2.5+ 5.5+ 8.5 = 34   (Ignore "- ")

⇒ mean deviation =  [Σ |x – µ|]/N    

                              = 34/ 8 = 4.25