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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
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?
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- In which years were fewer than 250 books sold?
- Can you explain how you would estimate the number of books sold in 1989?
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a. The highest score is in _________.
b. The lowest score is in _________.
c. The same scores are in _________ and _________.
The graph given below gives the actual and expected sales of cars of a company for 6 months. Study the graph and answer the questions that follow.
- In which month was the actual sales same as the expected sales?
- For which month(s) was (were) the difference in actual and expected sales the maximum?
- For which month(s) was (were) the difference in actual and expected sales the least?
- What was the total sales of cars in the months–Jan, Feb. and March?
- What is the average sales of cars in the last three months?
- Find the ratio of sales in the first three months to the last three months
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| Age (in years) | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 |
18 |
| Boys | 72% | 75% | 78% | 81% | 84% | 88% | 92% | 95% | 98% | 99% | 100% |
| Girls | 77% | 81% | 84% | 88% | 91% | 95% | 98% | 99% | 99.5% | 100% | 100% |
Draw the line graph of above data on the same sheet and answer the following questions.
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Read the bar graph given below and answer the following questions:
Scale: 1 unit = 50 students
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- In which year is the number of students twice as that of 2001 – 02?
- In which year did the number of students decrease as compared to previous year?
- In which year is the increase in number of students maximum as compared to the previous year?
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- 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.
In a public library, the following observations were recorded by the librarian in a particular week:
| Days | Mon | Tues | Wed | Thurs | Fri | Sat |
| Newspaper Readers |
400 | 600 | 350 | 550 | 500 | 350 |
| Magazines Readers |
150 | 100 | 200 | 300 | 250 | 200 |
- Draw a double bar graph choosing an appropriate scale.
- On which day, the number of readers in the library was maximum?
- What is the mean number of magazine readers?
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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.
- In which town was the population growth maximum?
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| Flavours | Vanilla | Chocolate | Strawberry | Mango | Butterscotch |
| Boys | 4 | 9 | 3 | 8 | 13 |
| Girls | 8 | 12 | 7 | 9 | 10 |
Study the table and answer the following questions:
- Draw a double bar graph using appropriate scale to represent the above information.
- Which flavour is liked the most by the boys?
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