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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
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.
Practice time: Afterschool
Ask 10 of your friends about what they like to do most after school.
| What they like to do after school |
Number of children |
| Watching TV | |
| Playing football | |
| Reading storybooks | |
Comparison of parts of a whole may be done by a ______.
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
In a bar graph, ______ can be drawn horizontally or vertically.
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 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.
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?
Observe the given data:
| Days of the week |
Mon | Tues | Wed | Thurs | Fri | Sat |
| Number of Mobile Phone Sets Sold |
50 | 45 | 30 | 55 | 27 | 60 |
- Draw a bar graph to represent the above given information.
- On which day of the week was the sales maximum?
- Find the total sales during the week.
- Find the ratio of the minimum sale to the maximum sale.
- Calculate the average sale during the week.
- On how many days of the week was the sale above the average sales?
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?
