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STATISTICS FOR ECONOMICS
CLASS: XI
Unit I
Chapter 1: INTRODUCTION
1. Define statistics in plural form.
2. What is economic activity?
3. Who is a service provider?
4. Who is a consumer?
5. What is meant by production?
6. Define statistics in singular sense.
7. How is statistics important in Economics?
8. How is statistics important to the Government?
9. Define Economics?
Chapter 2: COLLECTION OF DATA
1. What are the main sources of data?
2. Which of the two types of data are collected for a definite purpose?
3. Which type of data involves less time and is less expensive?
4. Name 2 sources of errors in data collection.
5. Name 2 agencies at national level that deals with the collection, tabulation of statistical
data.
6. What is pilot survey?
7. Define sampling error.
8. Name 2 examples of secondary data.
9. Which method is used for estimation of population?
10. Name the journal published by NSSO.
11. Which of the following methods give better results and why? a] sample b] census
12. Which of the following errors is more serious and why? a] Sampling error b] Non
sampling error
13. Distinguish between primary data and secondary data.
14. Which of the following methods gives better results and why? a] Census b]
Sample
15. Write four differences between census and sample methods.
16. What are the advantages of mailing questionnaire?
17. Distinguish between random and non-random sampling.
18. Write 3 advantages and disadvantages each of indirect oral investigation.
19. Distinguish between: a] Primary data and Secondary data b] Census method and
Sample method
20. Distinguish between primary data and secondary data. Which data is more reliable and
why?
21. What do you mean by questionnaire? State five principles which should be followed
while drafting a
good questionnaire.
22. Discuss the method of collecting data through questionnaires filled by enumerators.
Also give its two
merits and two demerits.
UNIT 2
Chapter - 3
ORGANISATION OF DATA
1. What is meant by organisation of data?
2. State the meaning of classification.
3. What is meant by homogeneity of data?
4. State the meaning of qualitative classification.
5. Define raw data.
6. Define discrete series or frequency array.
7. What is meant by exclusive series?
8. Write the name of the series which include all items up to its upper limit.
9. What is meant by frequency?
10. State the meaning of class intervals.
11. State the objectives of classification.
12. Write the characteristics of a good classification.
13. Define the discrete and continuous variables with the help of example.
14. Write three importance of classification.
15. Make a frequency distribution from following data. Use exclusive method and first cla
ss interval is 100-110
125 108 112 126 110 113 136 130 149 155 120 130 126 138 125
132 119 125 140 148 145 137 144 150 142 150 137 132 166 154
16. Make a frequency distribution by using the class interval of 4. Use inclusive me
thod.
10 17 15 22 16 11 19 24 29 18 25 26 32 14 20 17 23 27 30 19
15 18 24 35 15 18 21 28 33 18 34 13 10 16 22 20 29 19 23 31
17. What is loss of information in classified data?
18. Do you agree that classified data is better than raw data? Why?
19. Explain types of classification of data?
Chapter - 4
PRESENTATION OF DATA
1. What is meant by tabulation?
2. Define caption as a part of table.
3. What is meant by manifold table?
4. Define bar diagrams.
5. State the meaning of sub-divided bar diagrams.
6. Define pie diagram.
7. What is meant by histogram?
8. State the meaning of frequency curve.
9. Write the name of the curve which is formed by joining mid point of the top of all
rectangles in a histogram.
10. Define the ogive curve.
11. What is meant by false base line?
12. State three features of a good table.
13. State the merits of tabular presentation.
14. Define pie diagram. Write the steps of making pie diagram.
15. Present the following data by multiple bar diagram.
Year
1st Class
2nd Class
Passed
2007
40
80
130
2008
80
100
120
2009
100
120
180
16. Present the following data of final consumption expenditure of a family with
the help of a pie diagram.
Items
Expenditure (in rupees)
Clothes
1600
Food
2400
Education
1000
Electricity
1500
Others
2500
17. Make a histogram from following data.
Marks
30-35 35-40 40-45 45-50 50-55 55-60 60-65 65-70
No.
10
24
30
44
28
22
14
8
of students
18. Present the following data in a pie diagram.
Items
Wages Bricks Wooden Paint Steel Cement Supervision Others
Work
%
15
20
5
10
25
12
7
6
Expenditures
19. Make a Histogram and frequency curve.
Marks
3035404535
40
45
50
No. of
10
12
20
26
Students
5055
38
20. Make a Histogram and frequency curve.
Marks
0-10 10-20 20-30 30-40
No.
20
14
24
26
of Students
5560
28
40-50
28
6065
18
50-60
38
6570
12
60-70
40
70-80
10
Chapter -5
MEASURES OF CENTRAL TENDENCY
1. Define an average.
2. Define mode.
3. Age of 5 students is 22, 24, 26, 21, and 20. Find the modal age.
4. What is the relationship of Mean, Median and Mode in a symmetrical distribution?
5. List the merits and demerits of arithmetic mean.
6. Explain the advantages and disadvantages of median and mode.
7. Explain the characteristics of a good average?
8. “Arithmetic mean is affected by very large and very small values but median and mode
are not affected by them.” Explain.
9. Calculate the Mean & Median from the following data:
Marks
10-20
20-30
30-40
40-50 50-60 60-70
No. of Students
5
5
5
20
10
5
10. Calculate Mode from the following data.
Marks
0-10 1020- 30-40 40506020
30
50
60
70
No. of
2
5
8
10
8
5
2
Students
11. Calculate Arithmetic mean from the following data using direct and short cut method /
Assumed mean method:
Size
10
20
30
40
50
60
Frequency
7
8
12
15
5
3
12. Calculate Arithmetic mean from the following data using step- deviation method:Size
20-29 30-39 40-49 50-59 60-69
Frequency
10
8
6
4
2
13. Find median of the following observations: 20, 15,25,28,18, 16, and 30
14. Calculate median of the following data.
Marks
11-15 16-20 21-25 26-30 31-35 364140
45
No. of
7
10
13
26
35
22
11
Students
15. Calculate Q1 and Q3 from the following data
Marks
10
20
30
40
No. of
4
10
20
8
Students
50
6
4650
5
60
3
16. Calculate the value of median and Q1 from the following data:
Marks
0-10 10-20 20-30 30-40 40-50
No. of
5
8
10
4
3
Students
17. Calculate the mode of the following data: 4,6,5,7,9,8,10,4,7,6,5,8,7,7,9
18. Calculate mode from the following data
Marks
0-10 10-20 20-30 30-40 40-50 50-60 60-70
No. of
2
5
8
10
8
5
2
Students
19. The following table gives the daily income of ten workers in a factory. Find the
arithmetic mean.
Workers
A
B
C
D
E
F
G
H
I
J
Daily Income (in 120 150 180 200 250 300 220 350 370 260
Rs)
20. Following information pertains to the daily income of 150 families. Calculate the
arithmetic mean.
Income (in
Number of
Rs)
families
More than 75
150
More than 85
140
More than 95
More than
105
More than
115
More than
125
More than
135
More than
145
115
95
70
60
40
25
21. The size of land holdings of 380 families in a village is given below. Find the median
size of land holdings.
Size of Land Holdings
Less than
100 –
200 –
300 –
400 and
(in
100
200
300
400
above
acres)
Number of families
40
89
148
64
39
Chapter- 6
MEASURES OF DISPERSION
1. Define the following and give their respective formulae.
a). Range
b). Coefficient of variation
c). Lorenz curve
d). Dispersion
e). Mean deviation
f). Quartile deviation
g). Standard deviation
h). Variance
2. What is relative measure of dispersion?
3. What is coefficient of variation?
4. If Q1=41, Q3=49, find the value of coefficient of Quartile deviation.
5. Name the important absolute and relative measures of dispersion.
6. Why standard deviation is measured from the mean?
7. Find out the standard deviation, if variance is, 144?
8. Write the formula of calculating mean deviation from mean.
9. Name the various measures of dispersion. Explain the merits and demerits of any two.
10. From the following data, calculate range and coefficient of range.
Marks: 10 20 30 40 50 60 70
No of students 8 12 7 30 10 5 2
11. Calculate quartile deviation and coefficient of quartile deviation from the data given
below.
320, 400, 450, 530, 550, 580, 600, 610, 700, 780, and 800
12. Find out mean deviation of the following data (use median method)
Marks
12
18
25
35
47
55
62
75
Frequency 8
12
15
16
17
18
13
12
13. Calculate mean and standard deviation from the following data:Class
0-10
10-20 20-30 30-40 40-50
Interval
Frequency
8
13
16
8
5
14. Explain the characteristics of a good measure of dispersion.
15. Find the mean deviation from the median and its coefficient for the following data:
Class
10-19
20-29 30-39 40-49 50-59
Interval
Frequency
3
4
6
5
2
16. Calculate mean and standard deviation from the following data:
Marks in
10-20
20-30
30-40 40-50
Hindi
No. of
13
16
8
5
students
17. Find out range and coefficient of range of the following series.
Size
5-10
10-15 15-20 20-25 25-30
Frequency
4
9
15
8
5
18. Find out Standard deviation (6) from the following data:
Class
0-10
10-20 20-30 30-40
Interval
Frequency
10
3
2
1
40-50
4
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