Given below is the concentration of SO 2 in airin ppm - parts per million in 30 localities-Wline SO2 concentration in ppm - Number of localities 11 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 - 411Wline 0-20-0-24 - 2 MWline array Find the mean of SO 2 concentration using assumed - mean method-A- 0-144B- 0-16C- 0-1D- 0-122

The correct option is D 0.122Let assumed mean, i.e., a = 0.10 [ Class interval amp; Frequency (f_i) amp; Class mark (x_i) amp; d_i = x_i a ...

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Standard VII

Mathematics

Median

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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0.122

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0.144

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0.16

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Solution

The correct option is B 0.122
Let assumed mean, i.e., $a = 0.10$

$\begin{matrix} C l a s s i n t e r v a l & F r e q u e n c y (f_{i}) & C l a s s m a r k (x_{i}) & d_{i} = x_{i} - a & f_{i} d_{i} 0.00 - 0.04 & 4 & 0.02 & - 0.08 & - 0.32 0.04 - 0.08 & 9 & 0.06 & 0.04 & 0.36 0.08 - 0.12 & 9 & 0.10 & 0.00 & 0.00 0.12 - 0.16 & 2 & 0.14 & 0.04 & 0.08 0.16 - 0.20 & 4 & 0.18 & 0.08 & 0.32 0.20 - 0.24 & 2 & 0.22 & 0.12 & 0.24 T o t a l & \sum f_{i} = 30 & \sum f_{i} d_{i} = 0.68 \end{matrix}$

$M e a n = (x) = a + \frac{\sum f_{i} d_{i}}{\sum f_{i}} = 0.10 + \frac{0.68}{30} = 0.122$

So, the mean of $S O_{2}$ concentration = 0.122

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Concentration of $S O_{2}$ (in ppm)	Frequency
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Concentration of ${S O}_{2}$ (in ppm)	Frequency
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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.

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.

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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.