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Home » 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:
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:
CBSE | Class 10 | Exercise 14.1 | Maths | NCERT | Statistics
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 – 0.044
0.04 – 0.089
0.08 – 0.129
0.12 – 0.162
0.16 – 0.204
0.20 – 0.242

Find the mean concentration of SO2 in the air.

SOLUTION

To discover the mean, first discover the midpoint of the given frequencies as follows:

Convergence of SO2 (in ppm)      Frequency (fi)     Mid-point (xi)     fixi

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             0.20       0.40

Total      Sum fi = 30                         Sum (fixi) = 2.96

The recipe to discover the mean is

    \[Mean\text{ }=\text{ }x\text{ }=\text{ }\sum fixi/\sum fi\]

= 2.96/30

= 0.099 ppm

In this manner, the mean grouping of SO2 in air is 0.099 ppm.

i

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