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Question
______ can be used to compare two collections of data.
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Solution
A double bar graph can be used to compare two collections of data.
Explanation:
A double bar graph is a type of bar graph that displays two sets of data side-by-side using two bars for each category. This visual representation makes it easy to compare values across the same categories for the two different datasets. For example, you might use a double bar graph to compare the number of boys and girls in different classes or the sales of two products over several months.
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The performance of students in 1st Term and 2nd Term is given. Draw a double bar graph choosing appropriate scale and answer the following:
| Subject | English | Hindi | Maths | Science | S. science |
| 1st Term (M.M. 100) | 67 | 72 | 88 | 81 | 73 |
| 2nd Term (M.M. 100) | 70 | 65 | 95 | 85 | 75 |
- In which subject, has the child improved his performance the most?
- In which subject is the improvement the least?
- Has the performance gone down in any subject?
In the table given below, the information is given about roads. Using this draw a sub-divided and percentage bar diagram (Approximate the percentages to the nearest integer).
| Year | Permanent Roads ( Lakh km.) |
Temporary Roads ( Lakh km.) |
| 2000-2001 | 14 | 10 |
| 2001-2002 | 15 | 11 |
| 2002-2003 | 17 | 13 |
| 2003-2004 | 20 | 19 |
In a bar graph, bars of uniform width are drawn vertically only.
In a bar graph, the gap between two consecutive bars may not be the same.
In a bar graph, each bar (rectangle) represents only one value of the numerical data.
The lengths in km (rounded to nearest hundred) of some major rivers of India is given below:
| River | Length (in km) |
| Narmada | 1300 |
| Mahanadi | 900 |
| Brahmputra | 2900 |
| Ganga | 2500 |
| Kaveri | 800 |
| Krishna | 1300 |
Draw a bar graph to represent the above information.
Study the double bar graph shown below and answer the questions that follow:
- What information is represented by the above double bar graph?
- In which month sales of Brand A decreased as compared to the previous month?
- What is the difference in sales of both the Brands for the month of June?
- Find the average sales of Brand B for the six months.
- List all months for which the sales of Brand B was less than that of Brand A.
- Find the ratio of sales of Brand A as compared to Brand B for the month of January.
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?
Below is a list of 10 tallest buildings in India.
This list ranks buildings in India that stand at least 150 m (492 ft.) tall, based on standard height measurement. This includes spires and architectural details but does not include antenna marks. Following data is given as per the available information till 2009. Since new buildings are always under construction, go on-line to check new taller buildings.
Use the information given in the table about sky scrapers to answer the following questions:
| Name | City | Height | Floors | Year |
| Planet | Mumbai | 181 m | 51 | 2009 |
| UB Tower | Bengaluru | 184 m | 20 | 2006 |
| Ashok Towers | Mumbai | 193 m | 49 | 2009 |
| The Imperial I | Mumbai | 249 m | 60 | 2009 |
| The Imperial II | Mumbai | 249 m | 60 | 2009 |
| RNA Mirage | Mumbai | 180 m | 40 | 2009 |
| Oberoi Woods Tower I | Mumbai | 170 m | 40 | 2009 |
| Oberoi Woods Tower II | Mumbai | 170 m | 40 | 2009 |
| Oberoi Woods Tower III | Mumbai | 170 m | 40 | 2009 |
| MVRDC | Mumbai | 156 m | 35 | 2002 |
(a) Find the height of each storey of the three tallest buildings and write them in the following table:
| Building | Height | Number of storeys | Height of each storey |
(b) The average height of one storey for the buildings given in (a) is ______.
(c) Which city in this list has the largest percentage of skyscrapers? What is the percentage?
(d) What is the range of data?
(e) Find the median of the data.
(f) Draw a bar graph for given data.
