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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
0.04−0.08
0.08−0.12
0.12−0.16
0.16−0.20
0.20−0.24
4
9
9
2
4
2

Find the mean of concentration of SO2 in the air.

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Solution

Let the assumed mean A = 0.1 and h = 0.04.

We know that mean,

Now, we have.

Putting the values in the above formula, we have


=0.10+0.04130×-1=0.10-0.0430=0.10-0.001=0.099

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


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