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
QI)
a) Define secondary data.
b) Show that the weighted arithmetic mean
of the square of 'n' natural
numbers whose
weights are equal to the corresponding numbers is equation(n+ I)12.
c) Prove that the product of the ratios of
each of the 'n' observations to the
GM. is always
unity.
d) The, geometric mean and harmonic mean of
two observations are
respectively 18 and
10.8. Find the observations,
e) For number 1, 2,3,4,5 calculate range
and mean deviation from median
f) If S.D. of a set of observations is
zero, then. all observations are equal
Comment.
g) Write direct method to find Karl
Pearson's coefficient of correlation.
h) Define quantity index number.
i) State Bayes Theorem
j) Write the significance of Time Series
Analysis'
Section – B
Q2)
Calculate the mode of given data set :
Mid Value: 5 15 25 35
45 55 65' 75 85
Frequency: 4 5 8 12 16 28 15
3 2
Q3)
Find the standard deviation of the (2n + 1) terms of an A.P.
Q4) The
following is the record of number of bricks laid each day for 10 days by two
brick layers A and B. Calculate the coefficient of variation in each case and
discuss the relative consistency of two brick layers.
A: 700 675 725
625 650 700 650
700 600 650
B: 550 600
575 550 650
600 550
525
625 600
Q5)
Data related to age of students and their games are given. Calculate the
correlation between the age of students and
their playing habits.
Age: '15 16 17
18 19 20
No. of Students : 250 200 150
120 100
80
, Regular Players: 200 150 90 48 30
12
Q6)
Calculate the index number for 1998 with 1990 as base using average of
price relative method for the following
data:
Price
Commodity
Weight 1990 1998
A 2 12 24
B 8 8 12
C 4 15 27
D 5 6 18
E 1 10 12
Q7) What is a
trend in a time series. The following table gives the annual sales (in Rs'000)
of a commodity.
Year: 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 200
Sales : 710 705 680 687 757 629 644 783 781 805 872
Determine the trend by calculating 5-yearly
moving average.
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