AHLCON PUBLIC SCHOOL, MAYUR VIHAR PHASE – 1, DELHI
STATISTICS ASSIGNMENT – 1- CLASS - XI
UNIT – 1 & 2
Q.1 Differentiate between Service Provider & Service Holder with the help of an example.
Q.2 Define the term Normative Economics.
Q.3 Define the term Positive Economics.
Q.4 ‘A’ has purchased a book from ‘B’ Book shop to study for his exams, which is the correct statement?
a) A is a consumer and B is a producer.
b) A is a producer & B is a seller
c) A is a seller and B is a producer
d) A is a consumer & B is a seller.
e) None of the above.
Q.5 A sister helping her younger brother for his exam is economic activity or not?
Q.6 If government of India increases petrol pricy in the market by rupees twenty per unit, then you as a consumer will be using the concept of normative or positive economics & why?
Q.7 Why it is said that, “ All statistics are data but all data are not statistics”?
Q.8 Distrust of Statistics is due to
a) Misuse of statistics b) insufficient statistical methods c) statistics is considered useless by many people d) scope of statistics is limited.
Q.9 “Science of statistics is the most useful servant but only of great value to those who understand its proper use.” Discuss.
AHLCON PUBLIC SCHOOL, MAYUR VIHAR PHASE – 1, DELHI
STATISTICS ASSIGNMENT – 1- CLASS - XI
UNIT - 3
Q.1 What is the difference between a mistake and error in statistics.
Q.2 Explain the meaning of - (a) Population (b) Sample
Q.3 Do samples provide better results than surveys? Give reasons for your answer.
Q.4 Give two examples each of sample, population and variable.
Q.5 Frame five two way questions with yes or no.
Q.6 Frame alteast four appropriate multi choice options for following questions:
a) Which of the following is the most important when you buy a new dress?
b) How often do you use computers?
c) Which of the newspapers do you read regularly.
d) Rise in price of petrol is justified.
e) What is the monthly income of your family?
AHLCON PUBLIC SCHOOL, MAYUR VIHAR PHASE – 1, DELHI
STATISTICS ASSIGNMENT – 1- CLASS - XI
UNIT - 4
Q.1 Define classification.
Q.2 Explain inclusive and exclusive type of classification.
Q.3 The wrights in gm of 54 apples picked out at random from a consignment are as follows:
106 107 76 82 109 107 115 93 187 123 95
92 86 70 126 68 130 129 119 119 115 115
84 99 113 204 111 141 139 123 80 115 115
98 107 81 130 75 85 105 110 90 182 118
123 128 98 82 125 100 110 111 186 78
Q.4 The following are the marks obtained by 30 boys in an examination. Construct a frequency table with class intervals of 10.
7 18 37 53 24 39
68 40 93 43 11 27
21 19 32 75 52 84
52 29 92 79 45 81
53 08 41 14 26 26
Also give cumulative frequency table (less than)
Q.5 Given below are the number of tools produced by 60 workers in a factory.
43 31 31 34 30 31 35 23 42 15
40 32 21 25 13 14 27 41 42 16
34 23 25 27 25 26 32 25 17 17
33 21 38 46 31 34 35 24 36 22
28 18 32 32 30 31 30 45 39 28
28 45 35 41 28 30 36 17 28 22
Make a frequency distribution starting from 13 – 17, 18 – 22, 23 – 27 and so on.
Q.6 Prepare a frequency distribution by inclusive method taking the class-interval of 7 from the following data:
28, 17, 15, 22, 29, 21, 23, 18, 12, 7, 2, 9, 4, 1, 8, 3, 10, 5, 20, 16, 12, 8, 4, 33, 27, 21, 15, 3, 36, 27, 18, 9, 2, 4, 6, 32, 31, 29, 18, 14, 13, 15, 11, 9, 7, 1, 5, 37, 32, 28
Q.7 Marks obtained by 50 students of class XI in statistics are as follows:
33 / 52 / 10 / 25 / 53 / 55 / 11 / 42 / 47 / 34 / 4732 / 19 / 10 / 16 / 41 / 36 / 15 / 30 / 27 / 59 / 30
40 / 49 / 52 / 54 / 40 / 31 / 45 / 24 / 30 / 34 / 52
19 / 40 / 42 / 03 / 06 / 44 / 26 / 45 / 21 / 14 / 36
39 / 06 / 12 / 25 / 17 / 16
(i) Construct a frequency table with class interval 0-9, 10-19, 20-29 and so on
(ii) Find the number of students securing marks :
(a) More than 40
(b) Less than 40
Q.8 Convert the following continuous series into a cumulative frequency distribution by using both ‘Less than’ and More than’ method :
X / 0 – 10 / 10 – 20 / 20 – 30 / 30 – 40 / 40 - 50f / 3 / 10 / 20 / 07 / 10
Q.9 Convert the following distribution with equal class interval:
0 -5 / 5 – 6 / 6 – 9 / 9 – 12 / 12–14 / 14–18 / 18–20 / 20-24 / 24–25 / 25–30 / 30-363 / 2 / 6 / 7 / 16 / 12 / 15 / 20 / 8 / 10 / 2
Q.10 You are given below the mid points of the frequency distribution of a group of person relating to their income : 25, 32, 39, 46, 53, 60 Calculate :
(a) the size of class interval
(b) class limits
AHLCON PUBLIC SCHOOL, MAYUR VIHAR PHASE – 1, DELHI
STATISTICS ASSIGNMENT - CLASS - XI
CHAPTER 5
Q.1 In 1950-51 the contribution of primary sector, secondary sector and tertiary sector to India’s National Income was 49%, 16.7% and 34.3% respectively. In 2011 – 12 these shares were 13.5%, 28.5% and 58% respectively. present this information in the form of a table.
Q.2 State three essentials of a good table.
Q.3 According to the census of India, population of India in 2001 was 102 crore of which the number of males and females were 53 crore and 49 crore respectively. 74 crore people residing in rural areas and only 28 crore were living in urban areas. 62 crore people were non working and 40 crore people were working in whole country. In urban areas, non-workers were 19 crores against 9 crores workers. As compared to it, in rural areas there were 31 crore workers out of 74 crore rural population. Represent the above information in a table.
Q.4 Explain in brief the importance of the following:
(a) Table Number
(b) Title
(c) Head Note
AHLCON PUBLIC SCHOOL, MAYUR VIHAR PHASE – 1, DELHI
STATISTICS ASSIGNMENT – 1- CLASS - XI
CHAPTER 6
Q.1 Name different types of one dimensional diagram.
Q.2 What are the essential of a good diagram?
Q.3 The following table gives the result of M.SC students.
Number of students
Year First division Second division Third division
1983 10 30 50
1984 12 45 70
1985 14 50 60
1986 11 40 75
Represent the above data by a suitable diagram.
Q.4 Following data relate to the faculty wise enrolment of students in a college.
Years 1993 1994 1995
No. of Arts students 95 110 120
No. of Science students 160 170 165
No. of Commerce students 75 95 110
Make a sub divided bar diagram.
Q.5 Show the following data by means of pie diagram.
A 8
B 4
C 7
D 5
E 6
F 10
______
40
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Q.6 Make a percentage bar chart for the following data:
Year / A / B / C / D / Total1970 / 40 / 10 / 15 / 35 / 100
1980 / 80 / 120 / 250 / 300 / 750
1990 / 120 / 250 / 330 / 400 / 1100
Q.7 Draw a subdivided Bar Chart for the given data:
Year / Arts / Science / Commerce / Total1990 / 100 / 300 / 600 / 1000
1991 / 150 / 450 / 550 / 1150
1992 / 130 / 550 / 500 / 1180
Q.8 Represent the following data on the expenditure of a family through a pie-diagram:
Items of Expenditure / % of Income SpentFood / 60
Clothing / 15
Housing / 10
Fuel and Light / 05
Others / 10
Q.9 Draw a multiple bar-diagram from the following data:
Year / Sales (`000) / Gross Profit (`000) / Net Profit (`000)2005 / 120 / 30 / 20
2006 / 130 / 40 / 25
2007 / 140 / 50 / 40
2008 / 150 / 60 / 50
Q.10 Represent the following data on the expenditure of a family through Pie Diagram :
Items / Food / Cloth / Housing / Fuel / MiscellaneousFamily A / 20,000 / 5000 / 6000 / 3000 / 6000
Family B / 25,000 / 6000 / 800 / 4000 / 7000
AHLCON PUBLIC SCHOOL, MAYUR VIHAR PHASE – 1, DELHI
STATISTICS ASSIGNMENT – 1- CLASS - XI
CHAPTER 7 (GRAPHICAL PRESENTATIONS)
Q.1 Make a histogram of the following data:
C.I. / 10 – 19 / 20 – 29 / 30 – 39 / 40 - 49f / 18 / 14 / 12 / 09
Q.2 Draw a histogram for the following information:
Midpoint / 5 / 15 / 25 / 35 / 45 / 55Frequency / 8 / 15 / 12 / 13 / 12 / 08
Q.3 Represent the following data by means of a histogram and frequency polygon:
C.I. / 0 – 5 / 5 – 15 / 15 – 25 / 25 – 50 / 50 – 55 / 55 - 60f / 4 / 12 / 24 / 75 / 9 / 6
Q.4 Represent the following data by means of a histogram and frequency polygon and frequency curve:
C.I. / 0 – 10 / 10 – 15 / 15 – 45 / 45 – 50 / 50 – 60 / 60 – 65f / 5 / 22 / 54 / 10 / 6 / 1
Q.5 Draw a ‘less than’ and ‘more than’ ogive curves from the following data and indicate the value of median:
C.I. / 0 – 10 / 10 – 20 / 20 – 30 / 30 – 40 / 40 – 50 / 50 – 60 / 60 – 70f / 10 / 12 / 5 / 6 / 2 / 3 / 8
Q.6 Make a ‘less than’ and ‘more tha’n ogive from the following data:
C.I. / 0 – 5 / 5 – 10 / 10 – 15 / 15 – 20 / 20 – 25 / 25 – 30 / 30 – 35f / 12 / 23 / 14 / 12 / 18 / 30 / 41
Q.7 What is the difference between a histogram and a bar-diagram?
Q.8 What is the false base line?
Q.9 Prepare a histogram of the following data:
Wages / 325 – 350 / 350 – 375 / 375 – 400 / 400 – 425 / 425 - 450Frequency / 30 / 45 / 75 / 60 / 35
Q.10 Prepare a histogram for the following data:
Marks / 4 -8 / 8 – 12 / 12 – 16 / 16 – 20 / 20 – 28 / 28 - 40 / 40 – 56No. of Students / 3 / 9 / 15 / 18 / 20 / 15 / 12
Q.11 On the basis of the following frequency distribution draw a ‘less than’ and ‘more than’ cumulative frequency curves
Marks / No. of students0 – 10 / 2
10 – 20 / 3
20 – 30 / 5
30 – 40 / 8
40 – 50 / 4
50 – 60 / 3
60 – 70 / 5
AHLCON PUBLIC SCHOOL, MAYUR VIHAR PHASE – 1, DELHI
STATISTICS ASSIGNMENT - CLASS - XI
CHAPTER 8 (MEASURES OF CENTRAL TENDENCY)
Q.1 The mean annual salary paid to all employees in a company was Rs 500. The mean annual salary paid to male and female (together) and female employees was Rs 540 and Rs 420 respectively. Determine the percentage of males and females in the company.
(Male = 66.6%, Females=33.4%)
Q.2 The combined arithmetic mean of two series is 50. The arithmetic mean of the first series is 35 and the number of observations is 27. Find out the arithmetic mean of the second series if it has 30 number of observations.
(X=63.5)
Q.3 Calculate arithmetic mean of the following series:
X / 10 / 12 / 23 / 41 / 32 / 46 / 30f / 2 / 18 / 4 / 15 / 21 / 18 / 9
(X=31.1)
Q.4 Calculate mean by assumed mean and step deviation method
C.I. / 0 – 10 / 10 – 20 / 20 – 30 / 30 – 40 / 40 – 50 / 50 – 60f / 4 / 8 / 2 / 1 / 5 / 3
(X=26.7)
Q.5 Find out mean:
Less than / 10 / 20 / 30 / 40 / 50 / 60 / 70 / 80C.F. / 5 / 25 / 59 / 92 / 107 / 125 / 135 / 150
(X=38.4)
Q.6 From the following data calculate mean:
More than / 5 / 10 / 15 / 20 / 25 / 30 / 35 / 40No. of students / 150 / 125 / 97 / 82 / 71 / 54 / 32 / 0
(X=22.86)
Q.7 Find arithmetic mean from the following frequency table:-
Height / 58 / 60 / 62 / 64 / 66 / 68No. of students / 12 / 14 / 20 / 13 / 8 / 5
(X=62.16)
Q.8 Compute the mean marks of the students:
Marks / 0 – 4 / 4 – 8 / 8 – 12 / 12 – 16 / 16 – 20 / 20 - 24No. of students / 7 / 9 / 16 / 8 / 6 / 4
(X=10.72)
Q.9 Find mean from the following data:
Marks / 0 / 10 / 20 / 30 / 40 / 50 / 60 / 70More than / 150 / 140 / 100 / 80 / 70 / 40 / 30 / 14
Q.10 The following table shows the age of workers in a factory:
Age / 20 – 29 / 30 – 39 / 40 – 49 / 50 – 59 / 60 - 69Workers / 10 / 8 / 6 / 4 / 2
(37.8)
Q.11 The mean of 100 observations was found to be 40. Later on, it was discovered that two items were wrongly taken 30 and 27 instead of 3 and 72. Find correct mean.
(X=40.18)
Q.12 The mean weight of 150 students in a class is 60kg. The mean of boys in the class is 70kg and that of girls is 55 kg. find the number of boys and girls in the class.
(B=50, G=100)
Q.13 Find the average marks from the following table:
Marks (below) / 10 / 20 / 30 / 40 / 50 / 60 / 70 / 80No. of students / 25 / 40 / 60 / 75 / 95 / 125 / 190 / 240
(X=40.18)
Q.14 The mean height of 25 male workers in a factory is 61 inches and the mean height of 35 females workers in the same factory is 58 inches. Find the combined mean height of 60 workers in the factory.
(X=59.25)
AHLCON PUBLIC SCHOOL
Class : XI- ECONOMICS
CHAPTER – 9
Q.1 Find out the median the date given below:
X / 160 / 150 / 152 / 161 / 156F / 5 / 8 / 6 / 3 / 7
]
Q.2 Calculate the value of median:
25, 20, 15, 45, 18, 7, 10, 64, 38, 12 (Median = 19)
Q.3 Find out the median size from the following:
X / 10- 20 / 20 -30 / 30 – 40 / 40 - 50F / 42 / 25 / 58 / 40
(Median = 32.6)
Q.4 Find out the median from the following:
Marks / 10 / 20 / 30 / 40 / 50 / 60 / 70 / 80(Less than) / 5 / 20 / 45 / 80 / 100 / 115 / 125 / 130
(Median = 35.7)
Q.5 Calculate mode of the following series using grouping method:
Size / 10 – 19 / 20 – 29 / 30 – 39 / 40 – 49 / 50 – 59 / 60 – 69 / 70 – 79 / 80 – 89 / 90 – 99Frequency / 10 / 12 / 14 / 20 / 15 / 20 / 18 / 9 / 2
Q.6 Calculate mode using (3 median - 2 mean)
C.I. / 10 – 20 / 20 – 30 / 30 – 40 / 40 – 50 / 50 – 60 / 60 – 70 / 70 – 80 / 80 – 90