Roll
No.
Total
No. of Questions : 07
BBA (Sem.–3rd)
BUSINESS STATISTICS
Subject Code : BB-304
Paper ID : [C0216]
Time
: 3 Hrs.
INSTRUCTION
TO CANDIDATES :
1. Section –A,
is Compulsory.
2. Attempt any
four questions from Section-B.
Section –A
l.
Write briefly :
a) State and Prove Additive law of
probability.
b) Discuss the properties of coefficient of
correlation.
c) Distinguish between Geometric and
Harmonic mean.
d) Why standard deviation is considered to
be the best in comparison
with other
measures?
e) State the empirical relation between
mean, median and mode.
f) What do you understand by Poisson
distribution? What are its properties?
g) Write a note on mean deviation. How it
is different from quartile
deviation?
h) State subjective approach to probability.
i) Write a note on independent and
dependent events.
j) Differentiate between correlation and
regression.
SECTION-B
2.
The following table gives the distribution of monthly income of 600
families in a certain city.
Monthly Income No. of families
Below 75
60
75-150
170
150-225 200
225-300
60
300-375
50
375-450
40
450 and more 20
Draw a 'less than' and a 'more than' ogive
curve for the above data on
the same graph and from these find the
median income.
3.
From the following data calculate mode.
Variable (x) : 0-10 10-20
20-30 30-40 40-50
50-60 60-70
Frequency (f) : 5 6 8 12 15 5
3
4.
In a certain college, the students engage in various sports in the following
proportions.
Football (F) : 60% of all students
Basketball (B) : 50% of all students
Both Football and Basketball : 30% of all students
If a student is selected at random, what is
the probability that he will:
i) Play
football or basketball
ii) Play
neither sports?
5. Write
regression equations of x on y and y on x for the following data:
x : 45 48 50 55 65 70 75 72 80 85
y : 25 30 35 30 40 50 45 55 60 65
6. Fit a
Poisson distribution to the following data and calculate the theoretical
frequencies.
x : 0 1
2 3
4
y : 123 59 14
3
1
7.
Calculate mean and standard deviation of the following data:
Value : 90-99 80-89
70-79 60-69 50-59
40-49 30-39
Frequency : 2 12
22 20 14 4 1
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