Find the mean deviation about mean for the following data:
Marks obtained 10 11 12 14 15
No. of students 2 3 8 3 4

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Solution

Marks obtained 10 11 12 14 15
No. of student 2 3 8 3 4 $\sum f_{i} = 20$
$x_{i} f_{i}$
20 33 96 42 60 $\sum f_{i} x_{i} = 251$
$x_{i} - ¯ x$ - -2.55 -1.33 -1.55 1.45 2.45 -.75
Mean $\cfrac{\sum f_i x_i}}{\sum f_i}=\cfrac{251}{20}=12.55$
Mean deviation $= \frac{- .75}{20} = - .0375$

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