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Allama Iqbal Open University, Islamabad (Department of Statistics) Warning

1. The document is a warning from Allama Iqbals Open University regarding plagiarism and cheating on assignments, followed by two sample assignments for an Introduction to Statistics course. 2. The first assignment contains questions about key statistical concepts like measures of central tendency, classification and tabulation, and histograms. 3. The second assignment continues with questions on additional statistical topics like measures of dispersion, linear regression, probability, sampling techniques, and hypothesis testing.

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493 views3 pages

Allama Iqbal Open University, Islamabad (Department of Statistics) Warning

1. The document is a warning from Allama Iqbals Open University regarding plagiarism and cheating on assignments, followed by two sample assignments for an Introduction to Statistics course. 2. The first assignment contains questions about key statistical concepts like measures of central tendency, classification and tabulation, and histograms. 3. The second assignment continues with questions on additional statistical topics like measures of dispersion, linear regression, probability, sampling techniques, and hypothesis testing.

Uploaded by

wajidali63veh
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOC, PDF, TXT or read online on Scribd
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ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD

(Department of Statistics)
WARNING
1. PLAGIARISM OR HIRING OF GHOST WRITER(S) FOR SOLVING
THE ASSIGNMENT(S) WILL DEBAR THE STUDENT FROM AWARD
OF DEGREE/CERTIFICATE, IF FOUND AT ANY STAGE.
2. SUBMITTING ASSIGNMENT(S) BORROWED OR STOLEN FROM
OTHER(S) AS ONE’S OWN WILL BE PENALIZED AS DEFINED IN
“AIOU PLAGIARISM POLICY”.
Course: Introduction to Statistics (4485) Semester: Spring, 2023
Level: BS

Total Marks: 100 Pass Marks: 50


ASSIGNMENT No. 1

Q. 1 (a) What do you understand by the term statistics? Give its chief characteristics.
(b) Give brief account of the importance of statistics in different fields. (10+10)

(a) Define the terms “Classification” and “Tabulation”. Outline the main steps in
tabulation. What do you mean by captions, stubs, title and prefatory notes?
(b) Explain the method of constructing histograms when the class intervals are
unequal. (10+10)

Q. 3 (a) What are the different measures of central tendency? Describe the manner of
computation any three of them with suitable illustrations.
(b) The following distribution shows kilowatt-hours of electricity used in one
month by 75 residential consumers in a certain locality of Islamabad. (10+10)
Consumption in 5- 25- 45- 65- 154- 85- 105-
kw hours 24 44 64 84 162 104 124
No. of consumers 3 5 9 12 5 4 2
Estimate mean and median.
Q. 4 (a) Discuss the empirical relationship between mean, median and mode.
(b) Calculate mode from the following data: (10+10)
X 2 2 2 28 30 32 34 36 3 40 4 44
2 4 6 8 2
f 3 1 4 10 17 22 20 13 6 25 6 1
3 3 2 5 0 4 9 9

Q. 5 (a) Discuss in detail the criteria of a suitable average. (10+10)


(b) Calculate the geometric mean and harmonic mean from the given distribution
Classe 4-6 6-8 8-10 10-12 12-14 14-16
s
f 13 11 182 105 19 7

ASSIGNMENT No. 2
Total Marks: 100 Pass Marks: 50
Q. 1 (a) Discuss the different measures of dispersion. Also indicate their merits and
demerits. (10+10)
(b) Calculate variance and coefficient of variation from the following data:
Groups 35-39 40-44 45-49 50-54 55-59 60-64 65-69
f 13 15 17 28 12 10 5

Q. 2 (a) What is a linear regression model? Explain the assumptions underlying the
linear regression model.
(b) Define the term correlation. Find the correlation coefficient between X and
Y, given (10+10)
X 78 89 97 69 59 79 68 61
Y 125 137 156 112 107 136 123 108

Q. 3 (a) Define the terms: experiment, outcome, event, sample space, simple and
compound events, impossible events, sure events and mutually exclusive events.
(b) How many dice must be thrown so that the probability of obtaining at least
one 6 is at least 0.99?
(c) From a group of 6 men and 8 women, 5 people are chosen at random. Find
the probability that there are more men chosen than women. (10+05+05)

Q. 4 (a) Discuss the common types of sampling techniques used to gather information
and the advantages and disadvantages of each of these techniques.
(b) What is a sampling distribution? Describe the properties of the sampling
distribution of the means. (10+10)
Q. 5 (a) Explain how you test the hypothesis on proportions?
(b) A thousand households are taken at random and divides into three groups A,
B and C, according to the total monthly income. The following table shows
the numbers in each group having a colour television receiver, a black and
white receiver, or no television at all.
Attributes A B C

2
Colour TV 56 51 93
Black & White TV 118 207 375
None 26 42 32
Test the hypothesis that there is no association between total income and
television ownership. (10+10)

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