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Wednesday, August 31, 2016

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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