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Question

Given below is the concentration of SO2 in air(in ppm = parts per million) in 30 localities:
SO2 concentration (in ppm)Number of localities0.000.0440.040.0890.080.1290.120.1620.160.2040.200.242
Find the mean of SO2 concentration using assumed - mean method.

A
0.1
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B
0.098
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C
0.144
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D
0.16
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Solution

The correct option is B 0.098
Let assumed mean, i.e., a=0.10

Class intervalFrequency(fi)Class mark(xi)di=xiafidi0.000.0440.020.080.320.040.0890.060.040.360.080.1290.100.000.000.120.1620.140.040.080.160.2040.180.080.320.200.2420.220.120.24Totalfi=30fidi=0.04

Mean=(x)=a+fidifi=0.10+0.0430=0.09866

So, the mean of SO2 concentration = 0.098

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