Given below is the concentration of SO 2 in air in ppm - parts per million in 30 localities-Wline SO2 concentration in ppm - Number of localities Wline 0-00-0-04 - 4 Wline0-04-0-08 - 9 1Wline 0-08-0-12 - 9 1Wline0-12-0-16 - 2 Wline0-16-0-20 - 4 Wline 0-20-0-24 - 211Wlineend array Find the mean of SO 2 concentration using assumed - mean method-A- 0-1B- 0-099C- 0-144D- 0-16

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Standard X

Mathematics

Assumed Mean Method of Finding Mean

Given below i...

Question

Given below is the concentration of SO₂ in air (in ppm = parts per million) in 30 localities:
$\begin{matrix} S O_{2} concentration (in ppm) & Number of localities 0.00 - 0.04 & 4 0.04 - 0.08 & 9 0.08 - 0.12 & 9 0.12 - 0.16 & 2 0.16 - 0.20 & 4 0.20 - 0.24 & 2 \end{matrix}$
Find the mean of $S O_{2}$ concentration using assumed - mean method.

0.1

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0.099

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0.144

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0.16

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Solution

The correct option is B
0.099

Let assumed mean, i.e., $a = 0.10$ . Now let us form the table and tabulate the mean of $S O_{2}$ concentration:

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a & f_{i} d_{i} 0.00 - 0.04 & 4 & 0.02 & - 0.08 & - 0.32 0.04 - 0.08 & 9 & 0.06 & - 0.04 & - 0.36 0.08 - 0.12 & 9 & 0.10 & 0.00 & 0.00 0.12 - 0.16 & 2 & 0.14 & 0.04 & 0.08 0.16 - 0.20 & 4 & 0.18 & 0.08 & 0.32 0.20 - 0.24 & 2 & 0.22 & 0.12 & 0.24 T o t a l & \sum f_{i} = 30 & \sum f_{i} d_{i} = - 0.04 \end{matrix}$

$M e a n = (x) = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}} = 0.10 + \frac{- 0.04}{30} = 0.099$

So, the mean of $S O_{2}$ concentration = 0.099

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Similar questions

Q. Given below is the concentration of SO₂ in air(in ppm = parts per million) in 30 localities:

\begin{matrix} S O_{2} concentration (in ppm) & Number of localities 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 of

S O_{2}

concentration using assumed - mean method.

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.,

p p m

), the data was collected for

30

localities in 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 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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Given below is the concentration of SO2 in air (in ppm = parts per million) in 30 localities: SO2 concentration (in ppm)Number of localities0.00−0.0440.04−0.0890.08−0.1290.12−0.1620.16−0.2040.20−0.242 Find the mean of SO2 concentration using assumed - mean method.