Below is a list of 10 tallest buildings in India.
This list ranks buildings in India that stand at least 150m (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:
(a) Find the height of each storey of the three tallest buildings and write them in the following table:
(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 skyscrappers? 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.
Solution:
Given, the table represents a list of 10 tallest buildings in India.
(a) We have to find the height of each storey of the three tallest buildings.
Building | Height | Number of storeys | Height of each storey |
The Imperial I | 249 m | 60 | 4.15 m |
The Imperial II | 249 m | 60 | 4.15 m |
Ashok Tower | 193 m | 49 | 3.9 m |
(b) We have to find the average height of one storey for the buildings given in (a).
Average height = sum of height of each storey/number of storey
Sum of height of each storey = 4.15 + 4.15 + 3.9
= 12.2 m
Number of storeys = 3
Average height = 12.2/3
= 4.06 m
(c) We have to find the city in this list which has the largest percentage of skyscrappers and its percentage.
From the table,
Mumbai has the maximum number of skyscrapers.
Total number of skyscrapers in Mumbai = 9
Total number of skyscrapers in the list = 10
Percentage = 9/10 × 100
= 900/10
= 90%
(d) We have to find the range of data.
We know that the difference between the highest and lowest observations in a given data is called its Range.
Highest observation = 249 m
Lowest observation = 156 m
Range = highest observation - lowest observation
= 249 - 156
= 93 m
(e) We have to find the median of the data.
When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data.
Arranging the data in ascending order, we get
156, 170, 170, 170, 180, 181, 184, 193, 249, 249
Number of observation = 10
If n is even, then median = [(n/2)th term + (n/2 + 1)th term]/2
= [(10/2)th term + (10/2 + 1)th term]/2
= [5th term + 6th term]/2
= (180 + 181)/2
= 361/2
= 180.5 m
(f) We have to draw a bar graph for given data.
✦ Try This: The data given below shows the production of motor bikes in a factory for some months of two consecutive years.
Months | January | February | March | April | May |
2009 | 3000 | 4000 | 3400 | 3300 | 5600 |
2008 | 4500 | 3500 | 4600 | 3200 | 5400 |
Study the table given above and answer the following questions: For which month was the difference between the production for the two years the maximum?
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 3
NCERT Exemplar Class 7 Maths Chapter 3 Problem 85
Below is a list of 10 tallest buildings in India. This list ranks buildings in India that stand at least 150m (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
Summary:
(a) The height of each storey of the three tallest buildings is represented in the table above, (b) The average height of one storey for the buildings given in (a) is 4.06 m, (c) Mumbai has the largest percentage of skyscrappers and its percentage is 90%, (d) The range of data is 93 m, (e) The median of the data is 180.5 m, (f) The double bar graph for the given data is mentioned above.
☛ Related Questions:
- The marks out of 100 obtained by Kunal and Soni in the Half Yearly Examination are given below: (a) . . . .
- The students of Class VII have to choose one club from Music, Dance, Yoga, Dramatics, Fine arts and . . . .
- The data given below shows the production of motor bikes in a factory for some months of two consecu . . . .
visual curriculum