Advertisements
Advertisements
Question
The pie chart on the right shows the result of a survey carried out to find the modes of travel used by the children to go to school. Study the pie chart and answer the questions that follow.
- What is the most common mode of transport?
- What fraction of children travel by car?
- If 18 children travel by car, how many children took part in the survey?
- How many children use taxi to travel to school?
- By which two modes of transport are equal number of children travelling?
Solution
a. The central angle is maximum for bus, hence bus is the most common mode of transport.
b. Fraction of children travelled by car = `"Central angle"/360^circ`
= `90^circ/360^circ`
= `1/4`
c. We know that, fraction of children travel by car = `1/4`
Hence, total number of children travelled by car = `1/4` × Total number of children
⇒ 18 = `1/4` × Total number of children
Total number of children = 18 × 4 = 72
d. The central angle made up the sectors representing cycle and walk are same.
Hence, the cycle and walk are two modes of transport, by which equal number of children are travelling.
APPEARS IN
RELATED QUESTIONS
A survey was made to find the type of music that a certain group of young people liked in a city. Adjoining pie chart shows the findings of this survey.
From this pie chart answer the following:
- If 20 people liked classical music, how many young people were surveyed?
- Which type of music is liked by the maximum number of people?
- If a cassette company were to make 1000 CD’s, how many of each type would they make?
The number of students in a hostel speaking different languages is given below. Display the data in a pie chart.
| Language | Hindi | English | Marathi | Tamil | Bengali | Total |
| Number of students | 40 | 12 | 9 | 7 | 4 | 72 |
The annual investments of a family are shown in the adjacent pie diagram. Answer the following questions based on it.
(1) If the investment in shares is ₹ 2000, find the total investment.
(2) How much amount is deposited in the bank?
(3) How much more money is invested in immovable property than in mutual fund?
(4) How much amount is invested in post?
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 |
The percentages of various categories of workers in a state are given in the following table.
| Categoies | Culti-vators | Agricultural Labourers | Industrial Workers | Commercial Workers | Others |
| % of workers | 40 | 25 | 12.5 | 10 | 12.5 |
Present the information in the form a pie-chart.
The pie-chart given in the following represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs 112500, find the following:
(i) Total cost of the flat.
(ii) Expenditure incurred on labour.
A survey of students was made to know which game they like. The data obtained in the survey is presented in the adjacent pie diagram. If the total number of students are 1000,
(1) How many students like cricket ?
(2) How many students like football ?
(3) How many students prefer other games ?
Electricity used by farmers during different parts of a day for irrigation is as follows:
| Party of the day | Morning | Afternoon | Evening | Night |
| percentage of Electricity Used | 30 | 40 | 20 | 10 |
Draw a pie diagram to represent this information.
Collect information about the favorite pets of your classmates. Draw bar-graph and pie-chart for the same data
| Age group (in years) |
No. of Persons | Measure of central angle |
| 20 – 25 | 80 | `square/200 xx 360^circ = square` |
| 25 – 30 | 60 | `60/200 xx 360^circ = square` |
| 30 – 35 | 35 | `35/200 xx square = 63^circ` |
| 35 – 40 | 25 | `25/200 xx 360^circ = square` |
| Total | 200 | `square` |
Look and find out
Children who help in making or serving food are
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°.
Shoes of the following brands are sold in Nov. 2007 at a shoe store. Construct a pie chart for the data.
| Brand | Number of pair of shoes sold |
| A | 130 |
| B | 120 |
| C | 90 |
| D | 40 |
| E | 20 |
The following pie chart depicts the expenditure of a state government under different heads.
- If the total spending is 10 crores, how much money was spent on roads?
- How many times is the amount of money spent on education compared to the amount spent on roads?
- What fraction of the total expenditure is spent on both roads and public welfare together?
In the time table of a school, periods allotted per week to different teaching subjects are given below:
| Subject | Hindi | English | Maths | Science | Social Science |
Computer | Sanskrit |
| Periods Allotted |
7 | 8 | 8 | 8 | 7 | 4 | 3 |
Draw a pie chart for this data.
A survey was carried out to find the favourite beverage preferred by a certain group of young people. The following pie chart shows the findings of this survey.
From this pie chart answer the following:
- Which type of beverage is liked by the maximum number of people.
- If 45 people like tea, how many people were surveyed?
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
