Pie Chart

Q.

$$\begin{array}{cc}Colours& No.ofpeople\\ Blue& 18\\ Green& 9\\ Red& 6\\ Yellow& 3\\ Total& 36\end{array}$$

Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour and use that proportion to find the central angle. What is the percentage of the colour red?

Q.

The following pie chart shows the percentage of students who like a particular subject.
Given that 120 students took part in the survey.
The number of students who like Maths is _____.

1. 60

2. 55

3. 54

4. 30

Q. The following pie–chart shows the distribution of students of IIT’s and IIM’s in seven different companies TCS, Wipro, Satyam, Infosys, TATA, Reliance and Birla.


Total number of students from IIT = 23700
Total number of students from IIM = 24700
(A) How many employees of TATA and Birla are students from IIT?
(B) How many employees of Reliance and Satyam are students from IIM?

1. (A) $\to$ 8643; (B) $\to$ 2525
2. (A) $\to$ 4641; (B) $\to$ 5956
3. (A) $\to$ 3822; (B) $\to$ 8242
4. (A) $\to$ 7347; (B) $\to$ 7163

Q.

The following pie chart shows the number of students who like particular subjects.
There were 160 students who participated in the data collection.
The total number of students who like Science and Hindi are :

1. 32

2. 16

3. 45

4. 48

Q.

The proportion of time spent in the gym by a person is ____.
(Refer the pie chart given below)

1. $\frac{1}{2}$

2. $\frac{1}{12}$

3. $\frac{1}{3}$

4. $\frac{2}{5}$

Q. The pie chart given below represents the number of students interested in different sports. The total number of students is 1200. From the pie chart, find the number of students who like water polo.

Q. The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. $$\begin{array}{cc}Beverage& Numberofcups\\ Coffee& 60\\ Tea& 75\\ Hotchocolate& 25\\ Milk& 40\end{array}$$
What is the angle of sector in a pie chart representing tea?

1. ${40}^{\circ }$
2. ${72}^{\circ }$
3. ${108}^{\circ }$
4. ${135}^{\circ }$

Q.

In a survey to analyze eating habits of different people, one observation was that 60% of people were non-vegetarian (N), 25% of people are eggetarian (E) and 15% of people are vegetarian(V). Find the angles θ_N, θ_E and θ_V from the pie chart.

1. ${\theta }_N$= ${216}^{\circ }$ , ${\theta }_E$= ${100}^{\circ }$ , ${\theta }_V$= ${44}^{\circ }$

2. ${\theta }_N$= ${226}^{\circ }$ , ${\theta }_E$= ${70}^{\circ }$ , ${\theta }_V$= ${64}^{\circ }$

3. ${\theta }_N$= ${216}^{\circ }$ , ${\theta }_E$= ${90}^{\circ }$ , ${\theta }_V$= ${54}^{\circ }$

4. ${\theta }_N$= ${226}^{\circ }$ , ${\theta }_E$= ${90}^{\circ }$ , ${\theta }_V$= ${44}^{\circ }$

Q.

If 1100 people like playing cricket, then what is the total number of people who took the survey?

1. 2000

2. 1000

3. 5000

4. None of these

Q.

What is the angle subtended by green portion at the center of following pie chart.

1. ${360}^o$

2. ${36}^o$

3. ${260}^o$

4. ${18}^o$

Q.

In a survey conducted in 2015 for 7000 people, it was found that 3% of them were suffering from the flu. Find the number of people suffering from the flu.

1. 110

2. 210

3. 310

4. 410

Q. The following pie chart gives the marks obtained by a student in different subjects – English, Hindi, Mathematics, Science and Social Science in an examination.

Assuming that the total marks obtained for the examination are 540. The marks scored in Social Science is more than ____.

1. Mathematics
2. Science
3. Hindi
4. English

Q.

Out of 20 boys, 5 play football, 8 play cricket, 4 play basketball, 2 play kabaddi and 1 plays tennis. Roughly represent this data as percentages on a pie chart. [3 MARKS]

Q. $\text{A local cricket team played 20 matches in one season.}\text{It won 25\% of them, How many matches did they win?}$

Q.

If the above figure is converted into a pie chart, what will be the angle of the sector representing science students?

Q.

Study the pie – chart carefully to answer the following questions.
The pie-chart shows the percentage of students studying different specialisations in a management institute. The total number of students is 4500.

Ratio of men to women in each specialisation
$\begin{array}{ccc}\text{Specialisation}& \text{Men}& \text{Women}\\ \text{HR}& \text{2}& \text{3}\\ \text{Marketing}& \text{7}& \text{5}\\ \text{International Business}& \text{5}& \text{1}\\ \text{Banking}& \text{17}& \text{10}\\ \text{IT}& \text{1}& \text{2}\\ \text{Finance}& \text{5}& \text{4}\end{array}$

(A) What is the total number of men studying Banking and International Business?
(B) The number of women studying Finance is what percentage of the number of men studying the same?

1. (A) $\to$1125; (B) $\to$ 70$\%$

2. (A) $\to$297; (B) $\to$ 65$\%$

3. (A) $\to$1015; (B) $\to$ 80$\%$

4. (A) $\to$594; (B) $\to$ 95$\%$

Q.

$$\begin{array}{cc}Colours& No.ofpeople\\ Blue& 18\\ Green& 9\\ Red& 6\\ Yellow& 3\\ Total& 36\end{array}$$

Draw a pie chart showing the given information. The table shows the colours preferred by a group of people. Calculate the respective proportion of each colour and use that proportion to find the central angle. What is the percentage of the colour red?

___

Q. The pie chart(as shown in figure 25.23) represents the amount spent on different sports by a sport club in a year. If the total money spent by the club on sports is $Rs1,08,000,$ find the amount spent on each sport.

Q.

If 1100 people like playing cricket, then what is the total number of people who took the survey?

1. 2000

2. 1000

3. 5000

4. None of these

Q. Adjoining pie chart gives the expenditure(in percentage) on various items and savings of a family during a month.
The item on which expenditure is equal to the total savings of the family, is _______.

1. Food
2. Others
3. Clothes
4. Education for children

Q. The given pie chart shows the number of fruits sold on a particular day at a fruit stall. If the total number of fruits sold was 200. The percentage of sales of mangoes is $16\%$. Then how many bananas were sold on that day?

1. 20
2. 48
3. 30
4. 32

Q. The following pie-chart(not drawn to scale) shows the percentage distribution of the expenditure incurred in publishing a book. Study the pie-chart and answer the question.
Which two expenditure together have a central angle of ${108}^o$?

1. Binding and Transportation Cost
2. Printing and Paper Cost
3. Royalty and Promotion Cost
4. Binding and Paper Cost

Q.

Data collected in a survey shows that 40% of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is:

1. 120°

2. 150°

3. 144°

4. 40°

Q.

The pie chart shows the number of students who choose different co-curricular activities in a school. An equal number of students choose Basketball and Volleyball and 96 students choose Table Tennis.

The ratio of the number of students who choose Basketball to those who choose Soccer is 2 : 7. How many students choose Soccer?

1. 158
2. 160
3. 168
4. 172

Q.

Which of the following is a circle graph representing different flavors of ice-cream in an ice-cream parlor?

V - Vanilla

C - Chocolate

M - Mango

​​

1. (i) & (ii)

2. (ii) & (iii)

3. (ii)

4. (i) & (iii)

Q.

The number of students speaking different languages is given below. Display the data in a pie chart and state the percentage of student speaking Marathi.

$\begin{array}{cc}Language& No.ofStudents\\ Hindi& 40\\ English& 12\\ Marathi& 9\\ Tamil& 7\\ Bengali& 4\\ Total& 72\end{array}$

___

Q.

Which of the following statement is true?

1. In a pie chart, the area as well as the angle subtended by the arc at the center gives us the desired quantity.

2. In a pie chart, only the area as gives us the desired quantity.

3. In a pie chart, only the angle subtended by the arc at the center gives us the desired quantity.
4. None of these.

Q. A survey of $200$ people found that $20$ of them played chess. In a pie chart, what would be the sector angle of this group ?

Q. The expenditure by a householder on different items and his savings is given in the following pie-chart. Find the monthly salary of the householder.

1. Rs. 48, 000
2. Rs. 60, 000
3. Rs. 50, 000
4. Rs. 72, 000

Q. Study the pie – chart carefully to answer the following questions.
The pie-chart shows the percentage of students studying different specialisations in a management institute. The total number of students is 4500.

Ratio of men to women in each specialisation
$\begin{array}{ccc}Specialisation& Men& Women\\ HR& 2& 3\\ Marketing& 7& 5\\ InternationalBusiness& 5& 1\\ Banking& 17& 10\\ IT& 1& 2\\ Finance& 5& 4\end{array}$

(A) What is the total number of men studying Banking and International Business?
(B) The number of women studying Finance is what percentage of the number of men studying the same?

1. (A) $\to$1125; (B) $\to$ 70$\%$
2. (A) $\to$297; (B) $\to$ 65$\%$
3. (A) $\to$1015; (B) $\to$ 80$\%$
4. (A) $\to$594; (B) $\to$ 95$\%$