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Question

To find out the concentration of SO2 in the air (in parts per million, i.e., ppm), the data was collected for 30 localities in a certain city and is presented below:

Concentration of SO2 (in ppm)
Frequency
0.00-0.04
4
0.04-0.08
9
0.08-0.12
9
0.12-0.16
2
0.16-0.20
4
0.20-0.24
2
Find the mean concentration of SO2 in the air.

A
0.099
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B
0.09
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C
0.089
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D
0.99
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Solution

The correct option is A 0.099
Concentration
of SO2 (in ppm)
Class Interval.
No. of localities
Frequency(Fi)
Class
Mark(Xi)
Fi*Xi
0.00-0.04 4 0.020.08
0.04-0.08 9 0.06 0.54
0.08-0.12 9 0.1 0.9
0.12-0.16 2 0.14 0.28
0.16-0.20 4 0.18 0.72
0.20-0.24 2 0.22 0.44
Total 30 2.96
MeanconcentrationofSO2inair=fixifi=2.9630=0.09866=0.099

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