Q. 95.0( 3 Votes )
The table below gives the percentage of girls in higher secondary science stream of rural areas of various states of India. Find the mean percentage of girls by step-deviation method:
This is a grouped frequency distribution.
In step deviation, we need to mark the assumed mean in xi. Step deviation also calculates deviation of each xi values from the assumed mean using a formula.
The assumed mean is the value from xi closest to the central value.
So, assumed mean is
A = 50
Here, class interval is given by
h = 10 (∵ 25 – 15 = 35 – 25 = … = 85 – 75 = 10)
We need to represent it in tabular form:
So now, we have
∑fiui = -29 and ∑fi = 35.
Also, assumed mean, A = 50 and class interval, h = 10.
Mean by step-deviation is given by
⇒ [using the values from the table]
⇒ Mean = 50 – 8.29
⇒ Mean = 41.71
Thus, mean is 41.71.
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