find mean for the value a=62.5,Sigma fiui=-13,Sigma fi =100 and h=15.
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Answer:
mean for the value a=62.5,Sigma fiui=-13,Sigma fi =100 and h=15.
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The mean of the data is 60.55
Given:
The value A = 62.5, ∑fiui = - 13, ∑fi = 100 and h = 15
To find:
Find the mean from the given data
Solution:
Formula used:
The formula for the Mean by the Step Deviation Method
x = A + h × (Σfiui / Σfi)
Where
A = Assumed mean
h = class size
fi = frequency
From given data
A = Assumed mean = 62.5
h = class size = 15
fi = frequency = 100
∑fiui = - 13
By the given formula,
The mean of the data = 62.5 + 15 × (- 13 / 100)
= 62.5 - (195 / 100)
= 62.5 - 1.95
= 60.55
Therefore,
The mean of the data is 60.55.
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