the below shows the per howl pay of 25 landless agricultural labourer find arithmetic mean by direct method.
per howl pay (RS) 10 20 30 40 50.
number of labourers 6 6 4 3 6
Answers
Answer:
What is known?
Distribution of daily wages of 50
workers of a factory is given-
What is unknown?
The mean daily wages of the workers of the factory.
Explanation:
Reasoning:
We will use Assumed Mean Method to solve this questionbecause the data given is large.
Sometimes when the numerical values of xi
and fi are large, finding the product of xi and fi becomes tedious.We can do nothing with the f′is, but we can change each xi to a smaller number so that our calculations become easy.Now we have to subtract a fixed number from each of these x′is
.
The first step is to choose one among the x′is
as the assumed mean, and denote it by ‘a′. Also, to further reduce our calculation work, we may take ‘a’ to be that xi which lies in the centre of x1,x2,…,xn. So, we can choose a.
The next step is to find the difference di
between a and each of the xi’s, that is, the deviation of ‘a’ from each of the xi's i.e., di=xi–a
The third step is to find the product of di
with the correspondingfi, and take the sum of all the fid′is
Now put the values in the below formula
Mean(¯¯¯x)=a+(ΣfiuiΣfi)
Steps:
We know that,
class mark (xi
) = upper limit+lower limit 2
Explanation:
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