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:

Concentration of $SO_2$ (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 $SO_2$ in the air.

Given:

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.

To do:

We have to find the mean concentration of $SO_2$ in the air.

Solution:

Let the assumed mean be $A=0.10$.

Mean $=A+\frac{\sum{f_id_i}}{\sum{f_i}}$    

Therefore,  

Mean $=0.10+(\frac{-0.04}{30})$

$=0.10-0.001$

$=0.099$

The mean concentration of $SO_2$ in the air is 0.099 ppm.

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Updated on: 10-Oct-2022

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