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प्रश्न
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.
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उत्तर
a. Clearly, Imperial I, Imperial II and Ashok Towers are three tallest building.
| Building | Height | Number of storeys | Height of each storey |
| Imperial I | 249 m | 60 | 294/60 = 4.15 |
| Imperial II | 249 m | 60 | 249/60 = 4.15 |
| Ashok Towers | 193 m | 49 | 193/49 = 3.94 |
b. Average height of each storey of the building given in (a)
= `(["Sum of heights of each storey of three tallest building"])/3`
= `(4.15 + 4.15 + 3.94)/3`
= `12.24/3`
= 4.08
c. We can clearly see from the data, Mumbai has maximum number of skyscrapers from the list given. It has 9 skyscrapers out of the list of 10 buildings given.
∴ Required percentage = `9/10 xx 100 = 90%`
d. Range of data = Maximum height – Minimum height
= 249 – 156
= 93
e. Arranging the data in ascending order, we get 156, 170, 170, 170, 180, 181, 184, 193, 249, 249. Since, there are ten observations, median will be the mean of 5th and 6th observations.
n = 10 ...(Even)
∴ Median = `(n/2 "th observation" + (n/2 + 1) "th observation")/2`
= `((10/2) "th observation" + (10/2 + 1) "th observation")/2`
= `(5 "th observation" + 6"th observation")/2`
= `(180 + 181)/2`
= 180.5
f. A bar graph is as shown below:
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संबंधित प्रश्न
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?
Try yourself
On any one day, choose any three cities and record their temperature from the TV or newspaper.
- Make a bar chart in your notebook and ask your friends a few questions about it. See if they understand your chart!
In a bar graph, each bar (rectangle) represents only one value of the numerical data.
To represent the population of different towns using bar graph, it is convenient to take one unit length to represent one person.
The following table gives the number of vehicles passing through a toll gate, every hour from 8.00 am. to 1.00 pm:
| Time Interval |
8.00 to 9.00 |
9.00 to 10.00 |
10.00 to 11.00 |
11.00 to 12.00 |
12.00 to 1.00 |
| Number of vehicles |
250 | 450 | 300 | 250 | 150 |
Draw a bar graph representing the above data.
Prepare a bar graph of the data given in the question.
| Surname | Number of people  = 100 people |
| Khan |  |
| Patel |  |
| Rao |  |
| Roy |  |
| Saikia |  |
| Singh |  |
The students of Class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and Electronics clubs. The data given below shows the choices made by girls and boys of the class. Study the table and answer the questions that follow:
| Clubs | Music | Dance | Yoga | Dramatics | Fine Arts | Electronics |
| Girls | 15 | 24 | 10 | 19 | 27 | 21 |
| Boys | 12 | 16 | 8 | 17 | 11 | 30 |
- Draw a double bar graph using appropriate scale to depict the above data.
- How many students are there in Class VII?
- Which is the most preferred club by boys?
- Which is the least preferred club by girls?
- For which club the difference between boys and girls is the least?
- For which club is the difference between boys and girls the maximum?
The data given below shows the production of motorbikes in a factory for some months of two consecutive years.
| Months | Feb | May | August | October | December |
| 2008 | 2700 | 3200 | 6000 | 5000 | 4200 |
| 2007 | 2800 | 4500 | 4800 | 4800 | 5200 |
Study the table given above and answer the following questions:
- Draw a double bar graph using appropriate scale to depict the above information and compare them.
- In which year was the total output the maximum?
- Find the mean production for the year 2007.
- For which month was the difference between the production for the two years the maximum?
- In which month for the year 2008, the production was the maximum?
- In which month for the year 2007, the production was the least?
The table below compares the population (in hundreds) of 4 towns over two years:
| Towns | A | B | C | D |
| 2007 | 2900 | 6400 | 8300 | 4600 |
| 2009 | 3200 | 7500 | 9200 | 6300 |
Study the table and answer the following questions:
- Draw a double bar graph using appropriate scale to depict the above information.
- In which town was the population growth maximum?
- In which town was the population growth least?
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?
