following marks were obtained by 100 students in an examination in economics. using step deviation method, calculate arithmetic mean of marks
Answers
Using step deviation method, the arithmetic mean of marks is 52.
Explanation:
For calculating the Arithmetic Mean of the following above given marks, let us first calculate certain information from the table in the figure below:
Step deviation method is the method where the assumed mean is subtracted from the mid-value and then divided by the class size. This is done for each of the data given.
Now, the formula used for calculating the Arithmetic mean by step deviation method is given by,
Mean, X = A + [{∑(f*d)}/N] * i …… (i)
Where,
A = Assumed Mean = 50
N = Sum of frequencies = ∑f = 100
∑(f *d) = 10
i = class size = 20
Now, substituting the values in the formula (i), we get
Mean, X = 50 + [10/100] * 20 = 50 + 2 = 52
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Find the mean of the following data by step-deviation method :
Classes : 10 – 20 20 - 30 30 - 40 40 – 50 50 - 60
60 – 70
Frequencies : 2 3 5 7 5 3
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