Find mean by step Deviation less than 10, less than 20, less than 30, less than 40, less than 50, less than 60, less than 70, less than 80 and where frequency are 5, 20, 45, 70, 80, 88, 98, 100.
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Step-by-step explanation:
Find mean by step Deviation less than 10, less than 20, less than 30, less than 40, less than 50, less than 60, less than 70, less than 80 and where frequency are 5, 20, 45, 70, 80, 88, 98, 100.
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Step deviation method
class interval number of students (f) mid point of class interval Deviation d i′ = hx i −A
fi d i′
0-10
10-20
20-30
30-40
40-50
50-60 14
2237556775
51525354555
-2-10123 -28
-22055134225
total ∑f=270 ∑f i d i′
=364
By step deviation method
mean =A+
∑f∑f i d i′ ×h
=25+ 270364 ×10
=25+ 27364
=25+13.48
mean =38.48
where h is class width
h=10
A is assumed mean
A=25
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