Advertisements
Advertisements
प्रश्न
Draw a pie-diagram for the following data of the investment pattern in a five year plan:
| Agriculture | Irrigation and Power | Small Industries | Transport | Social service | Miscellaneous |
| 14% | 16% | 29% | 17% | 16% | 8% |
उत्तर
We know:
Central angle of a component = (component value/sum of component values x 360)
Here the total percentage = 100%
Thus, the central angle for each component can be calculated as follows:
| Item | Amount (in %) |
Sector angle |
| Agriculture | 14 | 14/100 x 360 = 50.4 |
| Irrigation and Power | 16 | 16/100 x 360 = 57.6 |
| Small Industries | 29 | 29/100 x 360 = 104.4 |
| Transport | 17 | 17/100 x 360 = 61.2 |
| Social Service | 16 | 16/100 x 360 = 57.6 |
| Miscellaneous | 8 | 8/100 x 360 = 28.8 |
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 104.4o. Draw a sector with the central angle 104.4o 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 the 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 in the figure below.
APPEARS IN
संबंधित प्रश्न
Subjectwise marks obtained by a student in an examination are given below
| Subject | Marks |
| Marathi | 85 |
| Hindi | 85 |
| Science | 90 |
| Mathematics | 100 |
| Total | 360 |
Draw pie diagram
The sales of salesmen in a week are given in the pie diagram. Study the diagram and answer the following questions. If the total sale due to salesmen A is Rs. 18,000, then
a) Find the total sale.
b) Find the sale of each salesman.
c) Find the salesman with the highest sale.
d) Find the difference between the highest sale and the lowest sale.
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)
In a tree plantation programme, the number of trees planted by students of different classes is given in the following table. Draw a pie diagram showing the information.
| Standard | 5th | 6th | 7th | 8th | 9th | 10th |
| No. of trees | 40 | 50 | 75 | 50 | 70 | 75 |
The following table shows the percentages of demands for different fruits registered with a fruit vendor. Show the information by a pie diagram.
| Fruits | Mango | Sweet lime | Apples | Cheeku | Oranges |
| Percentages of demand | 30 | 15 | 25 | 20 | 10 |
The following table shows the percentages of vehicles passing a signal. Find out the measures of central angle to show the information by a pie diagram and hence draw the pie diagram.
| Type of Vehicle | Bicycle | Two wheeler | Car | Bus | Rickshaw |
| Percentage | 10 | 30 | 20 | 20 | 20 |
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.
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 |
Represent the following data with the help of a pie-diagram:
| Items | Wheat | Rice | Tea |
| Production (in metric tons) | 3260 | 1840 | 900 |
Draw a pie-diagram representing the relative frequencies (expressed as percentage) of the eight classes as given below:
12.6, 18.2, 17.5, 20.3, 2.8, 4.2, 9.8, 14.7
In the following figure, the pie-chart shows the marks obtained by a student in various subjects. If the student scored 135 marks in mathematics, find the total marks in all the subjects. Also, find his score in individual subjects.
The following pie-chart shows the monthly expenditure of Shikha on various items. If she spends Rs 16000 per month, answer the following questions:
(i) How much does she spend on rent?
(ii) How much does she spend on education?
(iii) What is the ratio of expenses on food and rent?
Medical check up of 180 women was conducted in a health centre in a village. 50 of them were short of haemoglobin, 10 suffered from cataract and 25 had respiratory disorders. The remaining women were healthy. Show the information by a pie diagram.
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 expenditure on labour.
Students of a class voted for their favourite colour and a pie chart was prepared based on the data collected.
Observe the pie chart given below and answer questions based on it.
If 400 students voted in all, then how many did vote ‘Others’ colour as their favourite?
Sum of all the central angles in a pie chart is 360°.
The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data.
| Animals | Number of animals |
| Deer | 42 |
| Elephant | 15 |
| Giraffe | 26 |
| Reptiles | 24 |
| Tiger | 13 |
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% |
Identify which symbol should appear in each sector.
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
