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7. To find out the concentration of SO_2 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:
7

Find the mean concentration of SO_2 in the air.

Answers (1)

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Class 

Interval

Frequency 

f_i

Class mark

x_i

f_ix_i
0.00-0.04 4 0.02 0.08
0.04-0.08 9 0.06 0.54
0.08-0.12 9 0.10 0.90
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
 

\sum f_i 

=30

 

\sum f_ix_i

=2.96

Mean, 

\overline x = \frac{\sum f_ix_i}{\sum f_i}
= \frac{2.96}{30} = 0.099
Therefore, the mean concentration of SO_2 in the air is 0.099 ppm

Posted by

HARSH KANKARIA

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