The following bar graph shows the results of an annual examination in a secondary school.
Read the bar graph (Fig.23.22) and choose the correct option 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 faliure rate of girls is
(a) VII
(b) X
(c) IX
(d) VIII

(iii) The class having the lowest pass rate of student is:
(a) VI
(b) VII
(c) VIII
(d) IX

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Solution

Let's draw a chart using the information from the above bar graph.

Class Percentage of boys Percentage of girls

VI 80 70

VII 40 100

VIII 90 50

IX 70 80

X 70 90

(i) (b) VI, IX
Explanation: In Class VI, the percentage of boys = 80
In Class IX, the percentage of girls = 80
In Class VI, the percentage of girls = 70
In class IX, the percentage of boys = 70

(ii) (a) VII
Explanation: In class VII, the passing percentage of girls is at its peak i.e. 100%.
∴ In this class, 0% of girls failed.

(iii) (b) VII and (c) VIII
Explanation: In class VII and VIII, the sum of vertical heights of the percentage of boys and girls in the given bar graph is same and that is 140 unit.
And this sum of heights is the least compare to all other classes.

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(a)	(i), (ii), (vii), (ix)	(iii), (iv), (v), (vi), (viii), (x)
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Q. Given below are the number of girls and boys in Stds V to VIII of a certain school. Draw a joint bar graph from this data.

Standard →	V	VI	VII	VIII
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Girls	20	30	15	15

On y-axis, take the scale 1 cm = 10 boys/girls

Given below is a double bar graph representing total number of boys and girls in class IX-A to IX-D.

Which section has maximum number of boys and second minimum number of girls?

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Class	Percentage of boys	Percentage of girls
VI	80	70
VII	40	100
VIII	90	50
IX	70	80
X	70	90