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Question
Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a line? What do you observe?
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Solution
Take a point O on the graph paper and draw the horizontal and vertical lines OX and OY respectively.
Then, let on the x-axis and y axis 1 cm represents 1 unit.
In order to plot point (2, 8), we start from the origin O and move 8 cm along OX. The point we arrive at is (2, 8).
To plot point (7, 8), we move 7 cm along OX and 8 cm along OY. The point we arrive at is (7, 8).
To plot point (12, 8), we move 12 cm along OX and 8 cm along OY. The point we arrive at is (12,8).
From the graph below, it can be seen that the points lie on a line parallel to x-axis because they have the same y-coordinate.
RELATED QUESTIONS
Read the bar graph (see the given figure) which shows the number of books sold by a bookstore during five consecutive years and answer the questions that follow:
- About how many books were sold in 1989? 1990? 1992?
- In which year were about 475 books sold? About 225 books sold?
- In which years were fewer than 250 books sold?
- Can you explain how you would estimate the number of books sold in 1989?
Take the data giving the minimum and the maximum temperature of various cities given in the following table:
| Temperatures of the cities as on 20.6.2006 | ||
| City | Max. | Min. |
| Ahmedabad | 38ºC | 29ºC |
| Amritsar | 37ºC | 26ºC |
| Banglore | 28ºC | 21ºC |
| Chennai | 36ºC | 27ºC |
| Delhi | 38ºC | 28ºC |
| Jaipur | 39ºC | 29ºC |
| Jammu | 41ºC | 26ºC |
| Mumbai | 32ºC | 27ºC |
Plot a double bar graph using the data and answer the following:
- Which city has the largest difference in the minimum and maximum temperature on the given date?
- Which is the hottest city and which is the coldest city?
- Name two cities where maximum temperature of one was less than the minimum temperature of the other.
- Name the city which has the least difference between its minimum and the maximum temperature.
The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)
| Year | No of trucks | No of buses |
| 2005-2006 2007-2008 2008-2009 2009-2010 |
47 56 60 63 |
9 13 16 18 |
The graph given below shows the marks obtained out of 10 by Sonia in two different tests. Study the graph and answer the questions that follow.
- What information is represented by the axes?
- In which subject did she score the highest in Test I?
- In which subject did she score the least in Test II?
- In which subject did she score the same marks in both the Tests?
- What are the marks scored by her in English in Test II?
- In which test was the performance better?
- In which subject and which test did she score full marks?
In a bar graph, the width of bars may be unequal.
The bar graph given below represents approximate length (in kilometres) of some National Highways in India.
Study the bar graph and answer the following questions:
Scale: 1 unit length = 200 km
- Which National Highway (N.H.) is the longest among the above?
- Which National Highway is the shortest among the above?
- What is the length of National Highway 9?
- Length of which National Highway is about three times the National Highway 10?
Scale: 1 unit length = 200 km
Prepare a pictograph of the data by taking a suitable symbol to represent 200 kilometers.
Study the double bar graph given below and answer the questions that follow:
- What information is compared in the above given double bar graph?
- Calculate the ratio of minimum temperatures in the year 2008 to the year 2009 for the month of November.
- For how many months was the minimum temperature in the year 2008 greater than that of year 2009? Name those months.
- Find the average minimum temperature for the year 2008 for the four months.
- In which month is the variation in the two temperatures maximum?
Observe the following data:
| Government School, Chandpur | ||
| Daily Attendance | Date: 15.4.2009 | |
| Class | Total Students | Number of Students Present on that Day |
| VI | 90 | 81 |
| VII | 82 | 76 |
| VIII | 95 | 91 |
| IX | 70 | 65 |
| X | 63 | 62 |
- Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?
- Which class has the maximum number of students?
- In which class, the difference of total students and number of students present is minimum?
- Find the ratio of number of students present to the total number of students of Class IX.
- What per cent of Class VI students were absent?
The table below gives the data of tourists visiting 5 hill stations over two consecutive years. Study the table and answer the questions that follow:
| Hill stations | Nainital | Shimla | Manali | Mussoorie | Kullu |
| 2008 | 4000 | 5200 | 3700 | 5800 | 3500 |
| 2009 | 4800 | 4500 | 4200 | 6200 | 4600 |
- Draw a double bar graph to depict the above information using appropriate scale.
- Which hill station was visited by the maximum number of tourists in 2008?
- Which hill station was visited by the least number of tourists in 2009?
- In which hill stations was there increase in number of tourists in the year 2009?
