S.chand Class 8 Maths Solution Chapter 19 Graphical Representation of Data Exercise 19 C

 Exercise 19 C

Question 1

Draw pie charts to represent the following information, first working out the angles.

1. The number of books lent out by a school library each day is shown in the following table.

Day	Mon	Tues	Wed	Thurs	Fri
Number of books lent	10	25	33	16	6

2. A student secured marks in different subjects as shown in the following table.

Subjects	English	Computer	Science	Mathematics
Marks	35	40	45	60

3. The number of students in a hostel speaking different languages is given below. Present the data in a pie chart.

Language	Hindi	English	Marathi	Tamil	Bengali	Total
Number of students	40	10	8	8	6	72

4. A pie diagram of the marks secured by a student in Maths, English, Physics and Chemistry is shown here Read the graph and find the marks in Chemistry secured by the student.

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[Hint: Let the angle of the sector representing the marks in Chemistry be $x$ in degrees.

Then, $100^{\circ}+75^{\circ}+100^{\circ}+x=360^{\circ}$,

$\Rightarrow \quad 275^{\circ}+x=360^{\circ} \Rightarrow x=360^{\circ}-275^{\circ}=85^{\circ}$

Now, A sector of $100^{\circ}$ represents 80 marks (Maths)

$\therefore \quad$ A sector of $1^{\circ}$ represents $\frac{80}{100}$ marks

$\therefore \quad$ A sector of $85^{\circ}$ represents $\frac{80}{100} \times 85=68$ marks

Hence, marks obtained in Chemistry = 68.]

5. A pie chart representing the population of four cities is shown here. Read the pie chart and find the population of the city $D$.

[Hint : Similar to Q. 4]

Multiple Choice Questions (MCQs)

6. The pie chart shows the number of participants of 5 countries $P, Q, R$, $S$ and $T$ taking part in a tennis tournament. Calculate the percentage of participants of country $P$.

<Fig>

(a) $13.5 \%$

(b) $34.7 \%$

(c) $37.5 \%$

(d) $20 \%$

7. A school has a strength of 3000 students. The alongside pie graph shows the interests of students in different subjects. The number of students interested in English is :

(a) 750

(b) 700

(c) 900

(d) 300

<Fig>

S.chand Class 8 Maths Solution Chapter 19 Graphical Representation of Data Exercise 19 B

 Exercise 19 B

Question 1

1. Represent the following distribution of ages (in years) of 35 teachers in a school by means of a histogram.

Age (in years)	25-30	30-35	35-40	40-45	45-50
Number of Teachers	12	11	8	1	3

Draw histograms for the following frequency distributions.

2.

Size	0-10	10-20	20-30	30-40	40-50	50-60
Frequency	5	10	20	25	20	10

3.

Class Interval	0-5	5-10	10-15	15-20	20-25
Frequency	10	25	9	20	5

4.

Marks	0-10	10-20	20-30	30-40	40-50
No. of students	5	9	14	7	5

5. Complete: In the histogram below-people were surveyed, and-of them own between 20 and 60 books.

6. Complete: In the histogram shown below-students received grades between 70 and 100 , and students in all took the test.

<fig>

7. For the histogram shown alongside :

(a) What is the total number of students over whom our study has been conducted?

(b) Which time interval has the maximum number of students studying?

(c) Which time interval has the minimum number of students studying ?

(d) How many times is the number of students in the time interval $3 \mathrm{hrs}-6 \mathrm{hrs}$ greater than the number of students in the time interval $9 \mathrm{hrs}-12 \mathrm{hrs}$ ?

<fig>

8. For the histogram given alongside answer the questions that follow :

(a) What is the total number of girls in the class?

(b) Which group contains the maximum number of girls?

(c) Which groups have the minimum number of girls and how many?

(d) How many girls have a height of $145 \mathrm{~cm}$ or more?

<fig>

S.chand Class 8 Maths Solution Chapter 19 Graphical Representation of Data Exercise 19 A

 Exercise 19 A

Question 1

1. The following table shows the number of students in a school playing five different games.

Games	Football	Hockey	Cricket	Tennis	Squash
Number of Students	200	175	250	75	50

Present this information on a bar graph.

2. The following table shows how a student spends his pocket money during the course of a month.

Item	Food	Entertainment	Other Expenditure	Savings
Expenditure	40%	25%	20%	15%

If the pocket money in ₹ 1000 , represent the above information on a table showing expenditure in rupees, Then draw a bar graph showing the expenditure.

3. Given alongside is a graph showing the areas (in thousand square miles) of the five Great Lakes.

<fig>

Read the bar graph carefully and answer the questions given below :

(i) How many square miles of area is represented by $1 \mathrm{~cm}$ block on the vertical axis ?

(ii) The area of the largest lake is about how many times the area of the smallest lake ? Also name the smallest and largest lakes.

(iii) How much is Lake Erie larger in area than Lake Ontario ?

(iv) Between which two lakes is the difference in area the least?

4. This double column graph compares the average number of hours an electrical appliance is used on weekdays and weekends. Read the graph and answer the following questions :

<fig>

(i) Which appliance has got the maximum usage?

(ii) Which appliance is used twice as many hours on the weekend as it is used on weekdays ?

(iii) What is the average number of hours an $\mathrm{AC}$ is used on weekend?

(iv) Which appliances are each used for 6 more hours on a day on weekends than on a weekday ?

Multiple Choice Questions (MCQs)

5. The bar graph shows the preferred breakfast food for 40 students. The number of students who prefer paranthas as a percentage of the total number of students is :

<Fig>

(a) $25 \%$

(b) $12.5 \%$

(c) $75 \%$

(d) $37.5 \%$

6. The bar chart represents the data given in the frequency table shown below. The bar for which month is incorrectly drawn ?

<fig>

(a) January

(b) February

(c) March

(d) April

<fig>