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Question
Expenditure on Education of a country during a five year period (2002-2006), in crores of rupees, is given below:
| Elementary education | 240 |
| Secondary Education | 120 |
| University Education | 190 |
| Teacher’s Training | 20 |
| Social Education | 10 |
| Other Educational Programmes | 115 |
| Cultural programmes | 25 |
| Technical Education | 125 |
Represent the information above by a bar graph.
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Solution
We draw bar graph of this data in the following steps:
Step I: We represent the education of a country (variable) on the horizontal axis choosing any scale, as the width of the bar is not important. But for clarity, we take equal widths for all bars and maintain equal gaps in between them. Let one head be represented by one unit.
Step II: We represent the expenditure on the vertical axis. Since, the maximum expenditure is Rs. 240 crore, we can choose the scale as 1 unit = Rs. 25 crore.
Step III: To represent our first education of a country i.e., elementary education, we draw a rectangular bar with width 1 unit and height 9.6 units.
Step IV: Similarly, other heads are represented by leaving gap of `1/2` unit in between two consecutive bars.
The bar graph for given data is shown below:
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RELATED QUESTIONS
Given below are the seats won by different political parties in the polling outcome of a state assembly elections:-
| Political Party | A | B | C | D | E | F |
| Seats Won | 75 | 55 | 37 | 29 | 10 | 37 |
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(iv) State whether true or false.
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b. 59 students have obtained marks ranging from 10 to 29.
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(vi) What is the number of students getting more than 29 marks?
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The following bar graph shows the results of an annual examination in a secondary school. Read the bar graph 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:
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| Population in Lakhs | 30 | 55 | 70 | 110 | 150 |
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| Year | 1960-61 | 1970-71 | 1980-81 | 1990-91 | 2000-2001 |
| Route length (in thousand km) |
56 | 60 | 61 | 74 | 98 |
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| Year | 1992 | 1993 | 1994 | 1995 | 1996 |
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28 | 33 | 55 | 55 | 80 |
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In a histogram the area of each rectangle is proportional to
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(a) using histogram
(b) without using histogram
|
C.I |
5 -15 | 15 -25 | 25 -35 | 35 - 45 | 45-55 | 55-65 |
| ƒ | 8 | 16 | 18 | 14 | 8 | 2 |
The frequency distribution has been represented graphically as follows:
| Marks | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 100 |
| Number of Students | 10 | 15 | 20 | 25 |
Do you think this representation is correct? Why?
Draw a histogram of the following distribution:
| Heights (in cm) | Number of students |
| 150 – 153 | 7 |
| 153 – 156 | 8 |
| 156 – 159 | 14 |
| 159 – 162 | 10 |
| 162 – 165 | 6 |
| 165 – 168 | 5 |
