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Chapters
1: Rational and Irrational Numbers
UNIT-II: COMMERCIAL MATHEMATICS
2: Compound Interest
UNIT-III: ALGEBRA
3: Expansions
4: Factorisation
5: Simultaneous Linear Equations
6: Indices
7: Logarithms
UNIT-IV: GEOMETRY
8: Triangles
9: Inequalities
10: Mid-point Theorem
11: Pythagoras Theorem
12: Rectilinear Figures (Theorems on Parallelograms and Construction of Polygons)
13: Theorems on Area
14: Circles (Chord and Arc Properties)
UNIT-V: STATISTICS
15: Statistics
▶ 16: Graphical Representation of Statistical Data
UNIT-VI: MENSURATION
17: Mensuration
18: Surface Area and Volume of Solids
UNIT-VII: TRIGONOMETRY
19: Trigonometry
20: Simple 2-D Problems in Right Triangle
UNIT-VIII: COORDINATE GEOMETRY
21: Coordinate Geometry
![B Nirmala Shastry solutions for मॅथेमॅटिक्स [अंग्रेजी] कक्षा ९ आयसीएसई chapter 16 - Graphical Representation of Statistical Data - Shaalaa.com](/images/mathematics-english-class-9-icse_6:a927b361d63845f4b2afea4ec6bbe35a.jpg "B Nirmala Shastry solutions for मॅथेमॅटिक्स [अंग्रेजी] कक्षा ९ आयसीएसई chapter 16 - Graphical Representation of Statistical Data")
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Solutions for Chapter 16: Graphical Representation of Statistical Data
Below listed, you can find solutions for Chapter 16 of CISCE B Nirmala Shastry for मॅथेमॅटिक्स [अंग्रेजी] कक्षा ९ आयसीएसई.
B Nirmala Shastry solutions for मॅथेमॅटिक्स [अंग्रेजी] कक्षा ९ आयसीएसई 16 Graphical Representation of Statistical Data EXERCISE 16 [Pages 195 - 196]
The following table shows the mode of transport used by students of a school. Taking a suitable scale, draw a bar graph.
| Mode of transport | Bus | Train | Auto-Rickshaw | Car | Walk |
| Number of students | 200 | 75 | 150 | 100 | 50 |
The following table gives the data about the people in a society who were asked about their profession.
| Profession | Doctors | Engineers | Lawyers | Teachers | Company Executives |
Others |
| Men | 5 | 11 | 2 | 1 | 8 | 12 |
| Women | 3 | 2 | 4 | 7 | 4 | 10 |
Draw a compound bar graph.
Draw a frequency polygon for the following data:
| Profit (in ₹) | 100 | 200 | 300 | 400 | 500 |
| Number of shops | 12 | 18 | 28 | 20 | 17 |
In a school, the weekly pocket money of 50 students is as follows:
| Weekly pocket money (in ₹) | 50 | 100 | 150 | 200 | 250 | 300 |
| No. of students | 2 | 8 | 12 | 14 | 8 | 6 |
Draw a frequency polygon on the graph.
The age of teachers of a school are recorded below.
| Age (in years) | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 |
| No. of teachers | 6 | 8 | 12 | 10 | 5 |
Draw a frequency polygon on the graph.
The number of literates among adults in a village were listed according to their age groups.
| Age (in years) | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 | 40 - 45 | 45 - 50 |
| No. of literates | 95 | 80 | 62 | 46 | 25 | 15 |
Draw a frequency polygon for the given data.
The number of casualties due to accidents were recorded in a hospital as follows:
| Age (in years) | 5 - 15 | 15 - 25 | 25 - 35 | 35 - 45 | 45 - 55 | 55 - 65 | 65 - 75 |
| No. of casualties | 6 | 10 | 15 | 13 | 20 | 8 | 7 |
Draw a frequency polygon on the graph.
The following table gives daily wages of workers in a factory.
| Wages (in ₹) | 50 - 55 | 55 - 60 | 60 - 65 | 65 - 70 | 70 - 75 | 75 - 80 |
| No. of workers | 5 | 12 | 20 | 17 | 8 | 5 |
Draw a frequency polygon for the above data.
The following distribution shows the height of students in a school.
| Height (in cm) | 140 - 145 | 145 - 150 | 150 - 155 | 155 - 160 | 160 - 165 | 165 - 170 | 170 - 175 |
| No. of students | 12 | 16 | 28 | 24 | 12 | 8 | 5 |
Draw a frequency polygon.
A family with a monthly income of ₹ 22,000 plans the following expenditure per month on different items.
| Item | Food | Rent | Education | Medicine | Fuel | Entertainment | Miscellaneous | Savings |
| Expenditure (in ₹) | 6500 | 4000 | 2500 | 1000 | 2000 | 1000 | 4000 | 1000 |
Represent the above table by a bar graph.
B Nirmala Shastry solutions for मॅथेमॅटिक्स [अंग्रेजी] कक्षा ९ आयसीएसई 16 Graphical Representation of Statistical Data MULTIPLE CHOICE QUESTIONS [Page 196]
A frequency polygon is drawn by ploting frequencies against the corresponding ______
lower limits of the classes.
upper limits.
class marks.
none of these.
The end points of a frequency polygon are joined to the x axis. The first end point is ______.
lower limit of the first class
the class mark of the class previous to the first class
origin
negative side of the origin
The class marks are found by taking the average of lower and upper limits of classes of:
- continuous distribution
- discrete distribution
only (i)
only (ii)
both (i) and (ii)
neither (i) nor (ii)
The following variable is discrete ______.
time taken to run a race
size of shoes
temperature in a month
distance walked by a person
The claas mark of the class 70 - 100 is ______.
70
75
85
100
In each of the following questions, a statement of assertion (A) is given and a statement of reason (R) given below it choose the correct option for each question.
Assertion (A): In a frequency polygon, the frequency of a class interval is plotted against the upper limit of the class.
Reason (R): A frequency polygon is a closed figure, its end points are joined to the x-axis.
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
Assertion (A): In a frequency polygon, the frequencies are plotted against the mid value of the class intervals.
Reason (A): The mid value of a class is formed by `"upper limit + lower limit of the class"/2`
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
Assertion (A): To compare two classes Maths marks, two frequency polygons can be drawn on the same graph.
Reason (R): Double bar graphs, are also useful in comparing discrete data.
Both A and R are true and R is the correct reason for A.
Both A and R are true but R is the incorrect reason for A.
A is true but R is false.
A is false but R is true.
B Nirmala Shastry solutions for मॅथेमॅटिक्स [अंग्रेजी] कक्षा ९ आयसीएसई 16 Graphical Representation of Statistical Data MISCELLANEOUS EXERCISE [Pages 196 - 197]
The following table shows the number of students playing different games in a school.
| Game | Hockey | Cricket | Football | Basketball | Volleyball |
| Number of students | 60 | 95 | 80 | 40 | 55 |
Represent the above in a bar graph.
Draw a frequency polygon for the following:
| Daily Wages | 71 - 80 | 81 - 90 | 91 - 100 | 101 - 110 | 111 - 120 |
| Number of workers | 5 | 8 | 13 | 5 | 9 |
The table given below shows the daily wages of labourers in a factory.
| Wages (in ₹) | 300 - 399 | 400 - 499 | 500 - 599 | 600 - 699 | 700 - 799 | 800 - 899 |
| No. of labourers | 20 | 35 | 50 | 25 | 15 | 5 |
Draw a frequency polygon to represent the above data.
The frequency polygon below represents the marks obtained by some candidates in a test. Using the data in the diagram, prepare a frequency distribution table.
For the set of numbers, find the mean and median: 1, 3, 3, 4, 5, 6, 97.
Which measure describes the set of numbers better?
The following table shows the height of 60 athletes in a team. Draw a frequency polygon on the graph.
| Height (in cm) | 140 - 150 | 150 - 160 | 160 - 170 | 170 - 180 | 180 - 190 | 190 - 200 |
| No. of athletes | 4 | 10 | 14 | 18 | 8 | 6 |
Solutions for 16: Graphical Representation of Statistical Data
B Nirmala Shastry solutions for मॅथेमॅटिक्स [अंग्रेजी] कक्षा ९ आयसीएसई chapter 16 - Graphical Representation of Statistical Data
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