B.C.A. (Semester II) (CGPA) Examination, 2017
BUSINESS STATISTICS
Day Date: Saturday, 22-04-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
N.B. Q.1 and Q.7 are compulsory.
Attempt any two questions from Q. 3 and 4.
Attempt any one question from Q. 5 and 6.
Figures to the right indicate full marks.
Use of any type of calculator is allowed.
Graph paper will be supplied on request.
Q.1 Select most correct alternatives: 10
In entire population is studied.
Census Sampling
Stratified Sampling None of these
Classification is the technique used to
Condense the raw data
Simplify the complex nature of data
Compare two data sets
All of these
The measure of central tendency that depends only on
maximum frequency is
Median mode A.M. all of these
The median of 9 observations is 31, if each observation is
decreased 2 then median will be
9 31
29 none of these
The most reliable measure of dispersion is
Range Coefficient of range
s.d. None of these
If two variables change in opposite direction, then there is
____correlation.
positive negative
perfect none of these
If regression coefficients are negative, then correlation
between two variables is
Positive Negative
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May be positive or negative None of these
not a problem in construction of index number.
Selection of weights Selection of base period
Selection of current period None of these
If then events A and B are
independent dependent
mutually exclusive exhaustive
10) If corr(X,Y) 0.3, then corr(2X,2Y)
0.3 0.6
0.15 None of these
Q.1 Write whether the following statements True or False: 04
Stratified sampling method provides a representative sample
if population is heterogeneous.
Mode can not be determined from ogives.
Any sub-set of sample space is called event.
Measure of dispersion is based on all observations.
Q.2 Attempt (Any two) 14
Explain stratified sampling method.
Compute median for the data given below.
Class 5-10 10-15 15-20 20-25 25-30 30-35
Frequency 4 7 11 9 6 3
Compute Karl Pearson's coefficient of correlation between X and
Y and interpret the result. If Σ Σ
Σ Σ Σ
Q.3 Attempt (Any two) 14
Define Class frequency ii) attribute iii) variable iv) class width
Find Laspeyre's, Paasche's and Fisher's price index number for
the data given below.
Commodity Base Period Current Period
Price Quantity Price Quantity
A 5 2 7 1.5
B 20 3 25 3.5
C 18 1.5 15 2
Following data shows information about wages of workers of
factory A and B
Factory-A Factory-B
No. of Workers 50 70
A.M. of daily wages 75 65
Variance of daily wages 150 145
Find: Which factory shows large wage bill?
ii) Which factory shows consistency in wages?
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Q.4 Attempt (Any two) 14
Define S.D. and state its merits and demerits.
A die is tossed 2 times. Write sample space and find probability of
getting sum of numbers on upper face of dice is 9 ii) number on
first die is even number.
The equations of lines of regression Y on X and X on Yare
2X+4Y=80 and 9X+3Y=120 respectively.
Find- A.M. of X and Y ii) correlation coefficient between X and
Y.
Q.5 Define- equally likely events ii) exhaustive events iii) Probability 07
Draw less than ogive to represent the following data and hence
obtain median.
Class 30-35 35-40 40-45 45-50 50-55 55-60 60-65
Frequency 7 14 30 20 17 10 8
07
Q.6 Define correlation and interpret when r 0 07
The mean marks scored by all students in the class in 60. The
mean marks scored by male and female students are 65 and 53
respectively. Find percentage of male and female students in the
class.
07
Q.7 Attempt any two: 14
Define Index number and explain selection of commodities in
construction of index no.
Define regression and state properties of regression
coefficients.