Explanation
The given bar graph represents the height (in cm) of $$50$$ students of class $$XI$$ of a particular school.
We can prepare frequency table from given bar graph as follows:
Heights(in cm) No. of students
$$140-144$$ $$7$$
$$145-149$$ $$11$$
$$150-154$$ $$17$$
$$155-159$$ $$9$$
$$160-164$$ $$6$$
$$165$$ -
Total number of students $$=50$$.
$$\textbf{Step 1: Construct the frequency table.}$$
$$\text{The given bar graph represents the height (in cm) of }50$$ $$\text{students of class }XI$$ $$\text{of a particular school.}$$
$$\text{We can prepare frequency table from given bar graph as follows:}$$
$$\text{Heights(in cm)}$$ $$\text{No. of students}$$
$$\text{Total number of students }=50$$.
The given bar graph represents different shoe size worn by the students in a school.
Shoe size No. of students
$$4$$ $$250$$
$$5$$ $$200$$
$$6$$ $$300$$
$$7$$ $$400$$
$$8$$ $$150$$
Total number of students $$=1300$$.
Here, the total number of students wearing shoe size $$5$$ and $$8$$
$$=$$ Number of students wearing shoe size $$5$$ $$+$$ Number of students wearing shoe size $$8$$
$$=200+150=350$$ students.
Also, Number of students wearing shoe size $$6=300$$ students.
Since, $$350\ne300$$,
we can say that the total number of students wearing shoe size $$5$$ and $$8$$ is not same as the number of students wearing shoe size $$6$$.
That is the given statement is false and option $$B$$ is correct.
The given bar graph represents the number of matches played by cricket teams of different country.
Country No. of matches
India $$30$$
Pakistan $$24$$
West Indies $$20$$
England $$28$$
South Africa $$18$$
Australia $$32$$
Sri Lanka $$24$$
Clearly, the number of matches played by South Africa is $$18$$.
Hence, option $$B$$ is correct.
Total number of students $$=176$$.
Then, the number of more matches played by India than Pakistan
$$=$$ Number of matches played by India $$-$$ Number of matches played by Pakistan
$$=30-24=6$$ matches.
That is, India played $$6$$ matches more than Pakistan.
Hence, option $$A$$ is correct.
The country that played maximum number of matches will have the highest number of matches.
Clearly, the maximum number of matches are played by Australia $$(32)$$.
Hence, option $$D$$ is correct.
Then, the ratio of number of matches played by India to the number of matches played by Sri Lanka
$$=\dfrac{\text{Number of matches played by India}}{\text{Number of matches played by Sri Lanka}}$$
$$=\dfrac{30}{24}=\dfrac{5}{4}=5:4$$.
Hence, the required ratio is $$5:4$$.
Therefore, option $$B$$ is correct.
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