Find the mean deviation from the mean for the following data: Size:, 20, 21, 22, 23, 24 frequency, 6, 4, 5, 1, 4

Explanation

(`x`, `f`, `fx` `d` `fd`)

`((20),(21),(22),(23),(24),(Total))``((6),(4),(5),(1),(4),(20))``((120),(84),(110),(23),(96),(433))``((1.65),(.65),(.35),(1.35),(2.35))``((9.90),(2.60),(1.75),(1.35),(9.40),(25))`

Now,` x¯=(∑f_ix_i)/(∑f_i)=(433)/(20)=21.65`

∴M.D.=`(∑f_i(|x_i−x¯|))/(∑f_i)=(25)/(20)=1.25`

`((1)(2))`