INDIAN SCHOOL MUSCAT
SENIOR SECTION
DEPARTMENT OF COMMERCE AND HUMANITIES
CLASS XI
CHAPTER -4: PRESENTATION OF DATA
WORKSHEET - 4
Very short answer questions (1 mark each)
1. Name the different ways of presenting the data.
2. Define textual presentation of data.
3. What is meant by tabular presentation of data?
4. Define the following:
a) Simple bar diagram
b) Multiple bar diagram
c) Component/sub divided bar diagram
d) Pie diagram
e) Histogram
f) Frequency polygon
g) Frequency curve
h) Ogive
i) Arithmetic line graph/Time series.
5. Name the point of intersection between ‘less than’ and ‘more than ogive’
Short answer questions (3/4 marks each)
1. Explain different types of classification used in tabulation.
2. Distinguish between a bar diagram and histogram.
3. Distinguish between ‘Frequency polygon’ and ‘frequency curve’
Long answer questions (6 marks each)
1. What are the different parts of a table? Draw a format of a table showing all these parts.
Practical questions (3/4/6 marks each)
1. Present the following data with the help of simple bar diagram
Year
2006
2008
2010
2012
Production of wheat (in million tonnes)
100
210
350
500
2. Represent the following data by a Multiple Bar-Diagram.
Year
Imports (in billion `)
Export (in billion `)
2010 - 11
478.50
440.40
2011 - 12
633.75
536.80
2012 – 13
731.00
697.50
2013 - 14
887.50
783.50
3. Represent the following data by a component bar-diagram.
Average weekly earnings (`) in all industries.
Year
2010
2011
2012
2013
2014
2015
Men
137.5
151.5
165
174.5
188
205
Women
62.5
108.5
115
125.5
137
125
ISM/SENIOR SECTION/COMMERCE AND HUMANITIES/MARCH 2016 Page 1 of 3
Total
200
260
280
300
325
330
4. The following table shows the monthly expenditure of two families. Represent the data by a percentage
sub-divided bar diagrams.
Expenditure in `
Items of Expenditure
Family A
550
80
70
200
40
60
Food
Clothing
Education
Rent
Recreation
Miscellaneous
Family B
800
170
100
90
210
130
5. In 2004 - 2005, National Income of India according to the industry of origin (at 2000 – 2001 prices) was
as given below. Present this information in the form of a Pie diagram.
Items
% Share
Agriculture
Industry
Transport
Administration
Banking
40
21
19
13
7
100
6. Draw a histogram and frequency polygon to represent the following data:
Marks
0 - 10
10 - 20
20 - 30
30 - 40
40 - 50
50 - 60
60 - 70
70 - 80
No. of Students
8
10
23
37
47
26
16
5
7. Represent the following data by means of Histogram
No. of companies
Capital (in `lakhs)
0 - 10
2
10 - 20
3
20 - 30
7
30 - 50
10
40 - 50
16
50 - 80
18
80 - 120
20
8. Present the following data in the form of a histogram and frequency polygon.
Marks
No. of students
10 - 20
10
20 - 30
15
30 - 40
20
40 - 50
22
50 - 60
15
60 - 70
10
ISM/SENIOR SECTION/COMMERCE AND HUMANITIES/MARCH 2016 Page 2 of 3
9. Draw Histogram and Frequency curve from the following figures.
Length of leaves
No. of leaves
6.5 - 7.5
5
7.5 - 8.5
12
8.5 - 9.5
25
9.5 - 10.5
48
10.5 - 11.5
32
11.5 - 12.5
6
12.5 - 13.5
1
10. Draw a less than ogive and more than from the following data:
0 - 100
100-200
200-300
300-400
400-500
Income (in`)
7
15
35
28
10
Persons
11. Represent the following data of annual profits of a firm with help of a time series graph.
Year
2007
2008
2009
2010
2011
2012
60
72
75
65
80
95
Profits (`crores)
12. Present the following data graphically
YEAR
Imports (in crores`)
Exports (in crores`)
2005 – 06
1634
1535
2006 – 07
5265
4042
2007 – 08
12549
6711
2008 – 09
19766
11012
2009 – 10
48320
33178
NCERT text book questions
1. Answer the following questions, 1 to 10, choosing the correct answer
a) Bar diagram is a
(i) One-dimensional diagram
(ii) Two-dimensional diagram
(iii) Diagram with no dimension
(iv) None of the above
b) Data represented through a histogram can help in finding graphically the
(i) Mean
(ii) Mode
(iii)Median
(iv) All the above
c) Ogives can be helpful in locating graphically the
(i) Mode
(ii) Mean
(iii) Median
(iv) None of the above
d) Width of bars in a bar diagram need not be equal (True/False).
e) Width of rectangles in a histogram should essentially be equal (True/ False).
f) Histogram can only be formed with continuous classification of data (True/False).
g) Mode of a frequency distribution can be known graphically with the help of histogram.
(True/False).
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