The bar graph shown in fig. represents the circulation of newspapers in 10 languages. Study the bar graph and answer the following questions: What percent is the number of newspapers published in Hindi of the total number of newspapers?
Answer
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Hint: First we have to read the bar graph to get the number of papers published for all the $10$ languages and add all of them, then calculate the percentage for the number of Hindi newspapers.
Complete step-by-step solution:
From the given Bar graph, we can make the following frequency table:
Now the total number of newspapers published is the addition of the number of newspapers published in all the languages.
To calculate this we add all the bars from Bar $1$ to Bar $10$ Therefore, the total numbers of newspapers published are:
$1100 + 3400 + 1100 + 3700 + 1400 + 1400 + 200 + 1000 + 400 + 700 = 14400$
Now, from the above table we know that the total number of newspapers published in Hindi, which is the $4^{th}$ bar from the top is $3700$.
Now the percentage of Hindi newspapers could be calculated as:
$ \Rightarrow \dfrac{{{\text{Total number of newspapers published in Hindi}}}}{{{\text{Total Number of newspapers published in all 10 languages}}}}\times{{100}}$
Therefore, Percentage of the number of Hindi newspapers is:
$ \Rightarrow \dfrac{{3700}}{{14400}} \times 100$
On dividing the terms we get:
$ \Rightarrow 0.25694 \times 100$
On multiplying both the terms we get:
$ \Rightarrow 25.69\% $
On rounding the answer to the nearest decimal place, we get:
$ \Rightarrow 25.7\% $
$\therefore $ The newspaper published in Hindi are $25.7\% $ of all the Newspapers published.
Note: In this manner the percentage for a newspaper of any language other than Hindi could also be calculated.
The important thing is that the total number of newspapers should be correct because if it is calculated wrong then the entire answer will go wrong.
Complete step-by-step solution:
From the given Bar graph, we can make the following frequency table:
Language | No. of Papers published |
Bengali | \[1100\] |
English | \[3400\] |
Gujrati | \[1100\] |
Hindi | \[3700\] |
Malayalam | \[1400\] |
Marathi | \[1400\] |
Punjabi | $200$ |
Tamil | \[1000\] |
Telugu | \[400\] |
Urdu | \[700\] |
Now the total number of newspapers published is the addition of the number of newspapers published in all the languages.
To calculate this we add all the bars from Bar $1$ to Bar $10$ Therefore, the total numbers of newspapers published are:
$1100 + 3400 + 1100 + 3700 + 1400 + 1400 + 200 + 1000 + 400 + 700 = 14400$
Now, from the above table we know that the total number of newspapers published in Hindi, which is the $4^{th}$ bar from the top is $3700$.
Now the percentage of Hindi newspapers could be calculated as:
$ \Rightarrow \dfrac{{{\text{Total number of newspapers published in Hindi}}}}{{{\text{Total Number of newspapers published in all 10 languages}}}}\times{{100}}$
Therefore, Percentage of the number of Hindi newspapers is:
$ \Rightarrow \dfrac{{3700}}{{14400}} \times 100$
On dividing the terms we get:
$ \Rightarrow 0.25694 \times 100$
On multiplying both the terms we get:
$ \Rightarrow 25.69\% $
On rounding the answer to the nearest decimal place, we get:
$ \Rightarrow 25.7\% $
$\therefore $ The newspaper published in Hindi are $25.7\% $ of all the Newspapers published.
Note: In this manner the percentage for a newspaper of any language other than Hindi could also be calculated.
The important thing is that the total number of newspapers should be correct because if it is calculated wrong then the entire answer will go wrong.
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