Consider the following distribution of daily wages of 50 workers of a factory.


Daily wages (in Rs):



100-120



120-140



140-160



160-180



180-200



Numbers of workers:



12



14



8



6



10



Find the mean daily wages of the workers of the factory by using an appropriate method.

Let the assumed mean (A) = 150


Class interval



Mid value (xi)



di = xi - 150



ui =



Frequency (fi)



fiui



100 – 120



110



-40



-2



12



-24



120 – 140



130



-20



-1



14



-14



140 – 160



150



0



0



8



0



160 – 180



170



20



1



6



6



180 - 200



190



40



2



10



20







N = 50



fiui = - 12



We have, A = 150


h = 20


Mean = A + h *


= 150 + 20 *


= 150 - = 150 – 4.8


= 145.2


3