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Standard X

Mathematics

Assumed Mean Method

To find out t...

Question

To find out the concentration of $S O_{2}$ 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 $S O_{2}$ (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 $S O_{2}$ in the air.

0.099

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0.09

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0.089

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0.99

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Solution

The correct option is A 0.099
Concentration
of SO2 (in ppm)
Class Interval. No. of localities
Frequency(Fi) Class
Mark(Xi) Fi*Xi
0.00-0.04 4 0.02 0.08
0.04-0.08 9 0.06 0.54
0.08-0.12 9 0.1 0.9
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
Total 30 2.96
$M e a n c o n c e n t r a t i o n o f {S O}_{2} i n a i r = \frac{\sum f_{i} x_{i}}{\sum f_{i}} = \frac{2.96}{30} = 0.09866 = 0.099$

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Similar questions

Q. To find the concentration of

S O_{2}

in the air (in parts, per
million), the data was collected for 30 localities, in a certain city
and is presented below:

Concentration of $S O_{2}$ (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 concentrations of

S O_{2}

in the air.

Q. To find out the concentration of

S O_{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 $S O_{2}$ (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

S O_{2}

in the air.

Q. To find out the concentration of

S O_{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:

Q. 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.

Question 7
To find out the concentration of $S O_{2}$ 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:

$\begin{matrix} Concentration of S O_{2} (in pmm) & Frequency 0.00 - 0.04 & 4 0.04 - 0.08 & 9 0.08 - 0.12 & 9 0.12 - 0.16 & 2 0.16 - 0.20 & 4 0.20 - 0.24 & 2 \end{matrix}$

Find the mean concentration of $S O_{2}$ in the air.

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Concentration of SO2 (in ppm) Class Interval.	No. of localities Frequency(Fi)	Class Mark(Xi)	Fi*Xi
0.00-0.04	4	0.02	0.08
0.04-0.08	9	0.06	0.54
0.08-0.12	9	0.1	0.9
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
Total	30		2.96