Simple Bar Diagram and Joint Bar Diagram

Q.

The following data on the number of girls (to the nearest ten) per thousand boys in different sections of Indian society is given below.

Section	Number of girls per thousand boys
Scheduled Caste (SC) Scheduled Tribe (ST) Non SC/ST Backward districts Non-backward districts Rural Urban	940 970 920 950 920 930 910

(i) Represent the information above by a bar graph.

(ii) In the classroom discuss what conclusions can be arrived at from the graph.

Q. Study the bar graph representing the number of persons in various age groups in a town shown in Fig. 23.9. Observe the bar graph and answer the following questions:

(i) What is the percentage of the youngest age-group persons over those in the oldest age group?

(ii) What is the total population of the town?

(iii) What is the number of persons in the age-group 60-65?

(iv) How many persons are more in the age-group 10-15 than in the age group 30-35?

(v) What is the age-group of exactly 1200 persons living in the town?

(vi) What is the total number of persons living in the town in the age-group 50-55?

(vii) What is the total number of persons living in the town in the age-groups 10-15 and 60-65?

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(vii) Whether the population in general increases, decreases or remains constant with the increase in the age-group.

Q. The following bar graph shows the results of an annual examination in a secondary school.
Read the bar graph (Fig. 23.28) and choose the correct alternative in each of the following:



(i) The pair of classes in which the result of boys and girls are inversely proportional are:
(a) VI, VIII
(b) VI, IX
(c) VIII, IX
(d) VIII, X

(ii) The class having the lowest failure rate of girls is
(a) VII
(b) X
(c) IX
(d) VIII

(iii) The class having the lowest pass rate of students is
(a) VI
(b) VII
(c) VIII
(d) IX

Q. Given below (Fig. 23.11) is the bar graphic indicating the marks obtained out of 50 in mathematics paper by 100 students. Read the bar graph and answer the following questions.



(i) It is decided to distribute work books on mathematics to the students obtaining less than 20 marks, giving one workbook to each of such students. If a work book costs Rs. 5, what sum is required to buy the work books?

(ii) Every student belonging to the highest mark group is entitled to get a prize of Rs. 10. How much amount of money is required for distributing the prize money?

(iii) Every student belonging to the lowest mark-group has to solve 5 problems per day. How many problems, in all, will be solved by the students of this group per day?

(iv) State whether true or false.
(a) 17% students have obtained marks ranging from 40 to 49.
(b) 59% students have obtained marks ranging from 10 to 29.

(v) What is the number of students getting less than 20 marks?

(vi) What is the number of students getting more than 29 marks?

(vii) What is the number of students getting marks between 9 and 40?

(viii) What is the number of students belonging to the highest mark group?

(ix) What is the number of students obtaining more than 19 marks?

Q. The duration of watching TV by a certain number of students is represented graphically in the histogram. The recommended duration of watching TV by the INDIAN TV association is 2-6 hours. How many students come into this category?

1. 85

Q.

The histogram below represents marks of students in a Mathematics exam with passing marks as 30. The number of students failed in the exam is

1. 7
2. 29
3. 14

Q. Fing the total number of girls who like Pop, Classic and Jazz music.

1. 22
2. 23
3. 24
4. 21

Q.

Make a histogram for the given data and find the maximum used shirt size.

$$\begin{array}{cccccc}Shirtsize& 38& 39& 40& 41& 42\\ numberofshirtssold& 60& 73& 89& 90& 23\end{array}$$

Q.

The following bar graph shows the results of an annual examination in a secondary school. Choose the correct option for: The pair of classes in which the results of boys and girls are inversely proportional are:

1. VIII, X

2. VI, IX

3. VI, VIII

4. VIII, IX

Q. The following bar graph (Fig. 23.14) represents the heights (in cm) of 50 students of Class XI of a particular school. Study the graph and answer the following questions:



(i) What percentage of the total number of students have their heights more than 149 cm?

(ii) How many students in the class are in the range of maximum height of the class?

(iii) The school wants to provide a particular type of tonic to each student below the height of 150 cm to improve his height. If the cost of the tonic for each student comes out to be Rs. 55, How much amount of money is required?

(iv) How many students are in the range of shortest height of the class?

(v) State whether true or false:
(a) There are 9 students in the class whose heights are in the range of 155-159 cm.
(b) Maximum height (in cm) of a student in the class is 17.
(c) There are 29 students in the class whose heights are in the range of 145-154 cm.
(d) Minimum height (in cm) of a student is the class is in the range of 140-144 cms.
(e) The number of students in the class having their heights less than 150 cm is 12.
(f) There are 14 students each of whom has height more than 154 cm.

Q.

The histogram below represents marks of students in a Mathematics exam with passing marks as 30. The number of students failed in the exam is

1. 14
2. 29
3. 7

Q.

Read the following bar graph and fill in the blanks:

The maximum number of students are in the class______.

Q.

The following bar graph gives the marks scored by 3 students, Shubh, Aman and Anurag out of 100. Whose average score is highest in all the 3 subjects?

1. Shubh

2. Aman

3. All of them will have have same average.

4. Anurag

Q.

The histogram below represents marks of students in a Mathematics exam with passing marks as 30. How many students failed in the exam?

1. 14

Q.

Draw a histogram from the given data of a class students.

$\begin{array}{cc}\text{Weight (kg)}& \text{Number of students}\\ 35.5-40.5& 4\\ 40.5-45.5& 15\\ 45.5-50.5& 12\\ 50.5-55.5& 13\\ 55.5-60.5& 6\end{array}$
[4 MARKS]

Q. When we deal with more than one kind of information or situations, we use bar graph.

1. double
2. single
3. pie

Q. The number of boys and girls in four grades of a school are given in the bar graph below. In which grade are the number of boys equal to the number of girls.

1. 1
2. 2
3. 3
4. 4

Q. Marks of students of a Class are represented in the frequency polygon shown below.



Grade A is given to a student if he got at least 15 marks in the test. How many students got the grade A?

1. 14

Q.

Which of these would you prefer for comparing two different sets of data of the same nature?

1. Bar graph

2. Histogram

3. Frequency polygon

4. can't say

Q. The histogram gives the information about the number of literate males along with their age. Below the age of 30, how many males are literate?

1. 900

Q. The duration of watching TV by a certain number of students is represented graphically in the histogram. The recommended duration of watching TV by the INDIAN TV association is 2-6 hours. How many students come into this category?

1. 85

Q.

The histogram below represents marks of students in a Mathematics exam with passing marks as 30. How many students failed in the exam?

1. 14

Q. When we deal with more than one kind of information or situations, we use bar graph.

1. double
2. single
3. pie

Q.

The following table shows the growth of a baby in $6$ months.

Draw a bar graph to represent the above information and tell what is the total mass gained by the baby in six months?

Q.

The following bar graph shows the results of an annual examination in a secondary school. Choose the correct option for: The pair of classes in which the results of boys and girls are inversely proportional are:

1. VIII, IX

2. VI, VIII

3. VI, IX

4. VIII, X

Q.

The following bar graph shows the results of an annual examination in a secondary school. Choose the correct option for: The class having the lowest pass rate of students

1. IX

2. VIII

3. VI

4. VII