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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?
Consider this data collected from a survey of a colony.
| Favourite sport | Cricket | Basket Ball | Swimming | Hockey | Athletics |
| Watching | 1240 | 470 | 510 | 430 | 250 |
| Participating | 620 | 320 | 320 | 250 | 105 |
- Draw a double bar graph choosing an appropriate scale. What do you infer from the bar graph?
- Which sport is most popular?
- Which is more preferred, watching or participating in sports?
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?
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- Name the city which has the least difference between its minimum and the maximum temperature.
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- What information is given by the two axes?
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- On which day was the temperature same in both the weeks?
- On which day was the difference in temperatures the maximum for both the weeks?
- What were the temperatures for both the weeks on Thursday?
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Read the bar graph and answer the following questions.
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- For which city were the minimum number of tickets sold?
- Name the cities for which the number of tickets sold is more than 20
- Fill in the blanks:
Number of tickets sold for Delhi and Jaipur together exceeds the total number of tickets sold for Patna and Chennai by ______.
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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?
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| 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.
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