Question

The following bar graph shows the results of an annual examination in a secondary school.
Read the bar graph (Fig. 23.28) and choose the correct alternative in each of the following:
(i) The pair of classes in which the results of boys and girls are inversely proportional are :
(a) VI, VIII (b) VI, IX
(c) VIII, IX (d) VIII, X
(ii) The class having the lowest failure rate of girls is
(a) VII (b) X
(c) IX (d) VIII
(iii) The class having the lowest pass rate of students is
(a) VI (b) VII
(c) VIII (d) IX

Answer 1

(i) The pair of classes in which the results of boys and girls are inversely proportional are :  VI, IX

Option (b) is correct.

(ii) The class having the lowest failure rate of girls is  VII

Option (a)  is correct

(iii) The class having the lowest pass rate of students is  VII

Option (b) is correct.

(i) As from the given bar graph, it's clear that, the pair of classes in which the results of boys and girls are inversely proportional are VI and IX. So, option b is correct.

(ii) As from the given bar graph, it's clear that, the class having the lowest failure rate of girls is VII. So, option a is correct.

(iii) As from the given bar graph, it's clear that, the class having the lowest failure rate of students is VII. So, option b is correct.

Answer 2

(i) The pair of classes in which the results of boys and girls are inversely proportional are  VI, IX.

(ii) The class having the lowest failure rate of girls is class VII.

(iii) The class having the lowest pass rate of students is class VII.

Step-by-step explanation:

• Bar graphs are primarily employed to display a comparison of various aspects between two different groups and observe the changes in them over time.
• (i) As per the given graph, the pair of classes in which the results of girls, as well as, boys are opposite or inversely proportional would be classes Vi and IX because, in class VI, 80 percent of boys have passed while the girls' passing percentage is 70%. Both these data are inversely proportional in class IX(80% of girls passed while 70% of boys).
• (ii) The class which has the lowest failure rate of girls is class VII as all 100% of girls have passed in this class.
• (iii) The class having the lowest pass rate is class VII despite all the girls have passed in this class and that is because the passing rate of boys is very low in this class.

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