Question

There are 50 boxes containing different number of units of an item in a factory. Find the mean deviation of number of units per box using the following distribution of the units:

No. of units	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50	50 - 60	60 - 70
No. of boxes	6	5	8	15	7	6	3

Answer 1

Mean:

x̄ = \(\frac{Σfx}{n}=\frac{1670}{50}\) = 33.4 units

Mean deviation of number of units per box:

MD = \(\frac{Σf|x−\bar x|}{n}=\frac{659.2}{50}\) = 13.18 units