Advertisements
Advertisements
प्रश्न
The following table shows how a student spends his pocket money during the course of a month. Represent it by a pie-diagram.
| Items | Food | Entertainment | Other expenditure | Savings |
| Expenditure | 40% | 25% | 20% | 15% |
उत्तर
We know:
Central angle of a component = (component value/sum of component values x 360)
Here, total expenditure = 100%
Thus, central angle for each component can be calculated as follows:
| Item | Expenditure (in %) |
Sector angles |
| Food | 40 | 40/100 x 360 = 144 |
| Entertainment | 25 | 25/100 x 360 = 90 |
| Other expenditures | 20 | 20/100 x 360 = 72 |
| Savings | 15 | 15/100 x 360 = 54 |
Now, the pie chat representing the given data can be constructed by following the steps below:
Step 1 : Draw circle of an appropriate radius.
Step 2 : Draw a vertical radius of the circle drawn in step 1.
Step 3 : Choose the largest central angle. Here the largest central angle is 144o. Draw a sector with the central angle 144o in such a way that one of its radii coincides with the radius drawn in step 2 and another radius is in its counter clockwise direction.
Step 4 : Construct other sectors representing the other items in the clockwise sense in descending order of magnitudes of their central angles.
Step 5 : Shade the sectors with different colours and label them, as shown as in figure below.
APPEARS IN
संबंधित प्रश्न
The adjoining pie chart gives the marks scored in an examination by a student in Hindi, English, Mathematics, Social Science and Science. If the total marks obtained by the students were 540, answer the following questions.
- In which subject did the student score 105 marks?
(Hint: For 540 marks, the central angle = 360°. So, for 105 marks, what is the central angle?) - How many more marks were obtained by the student in Mathematics than in Hindi?
- Examine whether the sum of the marks obtained in Social Science and Mathematics is more than that in Science and Hindi.
(Hint: Just study the central angles)
Employees of a company have been categorized according to their religions as given below:
| Religions | Hindu | Muslim | Sikh | Christian | Total |
| Number of workers | 420 | 300 | 225 | 105 | 1080 |
Draw a pie-chart to represent the above information.
Draw a pie-diagram for the following data of expenditure pattern in a family:
| Items | Food | Clothing | Rent | Education | Unforeseen events | Midicine |
| Expenditure (in percent) | 40% | 20% | 10% | 10% | 15% | 5% |
The following data gives the amount spent on the construction of a house. Draw a pie diagram.
| Items | Cement | Timber | Bricks | Labour | Steel | Miscellaneous |
| Expenditure (in thousand Rs) |
60 | 30 | 45 | 75 | 45 | 45 |
Represent the following data by a pie-diagram:
| Items of expenditure | Expenditure | |
| Family A | Family B | |
| Food | 4000 | 6400 |
| Clothing | 2500 | 480 |
| Rent | 1500 | 3200 |
| Education | 400 | 1000 |
| Miscellaneous | 1600 | 600 |
| Total | 10000 | 16000 |
Following is the break up of the expenditure of a family on different items of consumption:
| Items | Food | Clothing | Rent | Education | Fuel etc. | Medicine | Miscellaneous |
| Expenditure (in Rs) | 1600 | 200 | 600 | 150 | 100 | 80 | 270 |
Draw a pie-diagram to represent the above data.
In the following figure, the pie-chart shows the marks obtained by a student in an examination. If the student secures 440 marks in all, calculate his marks in each of the given subjects.
The pie diagram in figure shows the proportions of different workers in a town. Answer the following question with its help.
What is the percentage of workers in production ?
The following table shows causes of noise pollution. Show it by a pie diagram.
|
Construction
|
Traffic | Aircraft take offs | Industry | Trains |
| 10% | 50% | 9% | 20% | 11% |
The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :
Find the central angle for labour expenditure.
Write down the percentage of content in human body from the given pie-chart.
Collect information about the favorite pets of your classmates. Draw bar-graph and pie-chart for the same data
The following pie chart gives the distribution of constituents in the human body. The central angle of the sector showing the distribution of protein and other constituents is ______.
A pie chart is used to compare ______ to a whole.
In a pie chart a whole circle is divided into sectors.
The central angle of a sector in a pie chart cannot be more than 180°.
In a pie chart two central angles can be of 180°.
For the development of basic infrastructure in a district, a project of Rs 108 crore approved by Development Bank is as follows:
| Item Head | Road | Electricity | Drinking water | Sewerage |
| Amount In crore (Rs.) |
43.2 | 16.2 | 27.00 | 21.6 |
Draw a pie chart for this data.
The following data represents the approximate percentage of water in various oceans. Prepare a pie chart for the given data.
| Pacific | 40% |
| Atlantic | 30% |
| Indian | 20% |
| Others | 10% |
Following is a pie chart showing the amount spent in rupees (in thousands) by a company on various modes of advertising for a product.
Now answer the following questions.
- Which type of media advertising is the greatest amount of the total?
- Which type of media advertising is the least amount of the total?
- What percent of the total advertising amount is spent on direct mail campaigns?
- What percent of the advertising amount is spent on newspaper and magazine advertisements?
- What media types do you think are included in miscellaneous? Why aren’t those media types given their own category?
- Television
- Newspapers
- Magazines
- Radio
- Business papers
- Direct mail
- Yellow pages
- Outdoor
- Miscellaneous
