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ALLAMA IQBAL OPEN UNIVERSITY, ISLAMABAD
(Department of Statistics)
WARNING
1.
2.
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.
SUBMITTING ASSIGNMENTS BORROWED OR STOLEN FROM
OTHER(S) AS ONE’S OWN WILL BE PENALIZED AS DEFINED IN
“AIOU PLAGIARISM POLICY”.
Course: Statistics-I (394)
Level: Intermediate
Total Marks: 100
Semester: Autumn, 2016
Pass Marks: 40
ASSIGNMENT No. 1
Q.1 a)
b)
Define Descriptive and Inferential Statistics and differentiate between
them.
(10)
The following data give the record of a company’s savings over the years.
Draw a bar diagram to represent it.
(10)
1950
1010
Years
Rs. (ooo)
Q.2 a)
b)
b)
0-10
40
b)
1953
1980
1954
2300
1955
1295
1956
1520
1957
1070
10-40
110
40-90
150
90-100
200
100-105
120
105-120
30
120-140
20
Harmonic Mean and Geometric Mean of two numbers are 3.2 and 4
respectively. Find their Arithmetic Mean and both the numbers as well. (10)
Salman obtained the following marks in a certain examination. Find the weighted
mean if weights 4, 3, 3, 2, and 2 respectively are allotted to the subjects.
(10)
English
73
Q.4 a)
1952
3458
Define the mode of a frequency distribution. How does it compare with other
types of averages?
(10)
Compute Mean for the following distribution:
(10)
Classes
Frequency
Q.3 a)
1951
2050
Urdu
82
Math
80
Stat
57
Physics
62
Explain the difference between absolute dispersion and relative dispersion.
Describe the properties of the standard deviation.
(10)
Calculate standard deviation, variance and coefficient of variation from the
following data:
(10)
y
f
525
24
500
35
475
46
1
450
37
425
47
400
34
375
22
Q.5 a)
b)
What is meant by skewness and kurtosis? What aspects of the frequency
curve are measured by them?
(10)
First three moments of a distribution about y = 4 are 1, 4 and 10 respectively.
Find coefficient of variation. Is the distribution symmetrical or positively
skewed or negatively skewed?
(10)
ASSIGNMENT No. 2
Total Marks: 100
Q.1 a)
b)
Define an index number and describe the different types of index number.(10)
Find the index number of price from the following data taking average price
of all years as the base.
(10)
Years
Prices
Q.2 a)
b)
Q.3 a)
b)
Q.4 a)
b)
Pass Marks: 40
1970
15
1971
19
1972
21
1973
30
1974
37
1975
38
1976
40
1977
48
Explain with examples the terms; random experiment, sample space and an
event.
(10)
A bag contains 5 white and 7 black balls. If 3 balls are drawn from the bag,
what is the probability that:
(10)
i.
All are white.
ii.
Two are white and one is black
iii. All are the same color?
Generate the first 6 random digits using the pseudo-random number
generator with
(10)
m= 100, a=21, b=7, xo=10
Two coins are tossed and let the random variable y denote the number of
heads. Write down the possible outcomes and the values assigned to the
random variable.
(10)
What are random numbers? How can they be generated? Explain the
application of random numbers.
(10)
Given the following probability distribution:
(10)
x
P(x)
0
1/126
1
20/126
2
60/126
3
40/126
4
5/126
Verify that E(2X + 3) = 2E(X) + 3.
Q.5 a)
b)
If in a binomial distribution, the mean is 3 and the standard deviation is 1.5.
Find its parameters.
(10)
Given that the probability of passing an examination is 0.75. What is the
probability of
(10)
i.
Passing at least two examinations if you take six?
ii.
Failing at least two examinations if you take four?
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