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
Ql)
a) Write the type of classification of
data.
b) Define tabulation of data.
c) The average marks scored by 10 students
are 35. Later the moderator
awarded 2 grace
marks to 4 students each and 1 grace marks to 2 students
each. Find the
average marks after moderation.
d) Prove that the product of the ratios of
each of the 'n' observations to the
Geometric mean is
always unity.
e) Write the characteristics of a good
measure of Dispersion.
f) If the standard deviation of a set of
observations is zero, then all
observations are
equal. Comment.
g) ' Write Karl Pearson's method to find
coefficient of correlation.
h) The lines of regression of Y on X and X
on Y are resp. Y:X + 5 and
l6X - 9Y:94. Find
the variance of X if the variance of Y is i6.
i) Write the components of Time Series.
j) Write the formula to find Fisher's Ideal
Index number.
Section -B
Q2) From the following data, calculate the
values of the upper and lower quartiles,
D2/ Pro30.
Marks : Below 10 10-20
20-40 40-60 60-80 Above 80
No .of : 8 10 22 25 10 5
Students
3.Find
the standard deviation of (2n+l) terms of an A.P.
4.Two
supervisors ranked as follows 12 workers working under them in order
of efficiency.
Worker :
1 2 3
4 5 6
7 8 9
10 11 12
Supervisor l : 5 6 1
2 3 8.5
8.5 4 7
11 10 12
Supervisor ll: 5.5 5.5 2
2 2 9
7 4 8
10.5 12 10.5
Calculate Spearman's Rank correlation
coefficient.
Q5) Obtain the
lines of regression and show them on graph for the following :
X:1 2 3 4 5 6 7 8 9
Y : 2
6 7
8 10 l1 11 20
9
Q6) Fit a
parabolic trend y: a + bx * cx2 to the following data where y denotes the
output in thousand unit.
Year : l99l 1992 1993 1994 1995 1996 1997 1998 1999
Y 2 6 7 8 10 11 11 20 9
Also compute the trend values. Estimate the
values for 2000.
Q7) Define Normal and Poisson distributions
in detail
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