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)

0.00-0.04

0.04-0.08

0.08-012

0.12-0.16

0.16-0.20

0.20-0.24

Frequencey

4

9

9

2

4

2

Find the mean concentration of SO₂ in the air.

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Solution

Here, we have

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Now,

top enclose straight x equals space straight A plus fraction numerator begin display style sum from blank to blank of end style straight f subscript straight i straight u subscript 1 over denominator begin display style sum from blank to blank of end style straight f subscript straight i end fraction cross times straight h equals 0.14 plus open parentheses fraction numerator negative 31 over denominator 30 end fraction close parentheses cross times left parenthesis 0.04 right parenthesis equals 0.14 minus 0.041 equals 0.099 space ppm.

Hence, ihe mean concentration of SO₂ in the air is 0.099 ppm.

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Concentration of SO₂ (in ppm)	0.00-0.04	0.04-0.08	0.08-012	0.12-0.16	0.16-0.20	0.20-0.24
Frequencey	4	9	9	2	4	2