B.C.A. (Semester II) (CGPA) Examination Oct/Nov-2017
BUSINESS STATISTICS
Day Date: Monday, 20-11-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
Instructions: 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 alternative 10
If population is infinite, then method is not applicable for
study of population.
Census Sampling
Stratified sampling None of these
A measurable characteristic, whose value does not change is called

Attribute Variable
Constant None of these
To determine arrangement of data is necessary.
Median Mode
A.M. All of these
The mode of 12 observations is 16, if each observation is multiplied by
then mode will be
24 32
8 None of these
If each observation is increased by 10 then range will be
As it is Increased by 10
Decreased by 10 none of the these
If scatter diagram shows a straight line that parallel to X-axis, then the
correlation is
Positive Negative
Perfect Zero
S
The equation of line of regression Y on X is used to estimate
Y for known value of X
X for known value of Y
Any one of the variable for known value of other
None of these
index number uses quantities in base and current period as
weights.
Fisher's price Fisher's quantity
Laspeyre's price Paasche's price
Page 2 of 3
SLR-CD-5
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 0.3
0.6 -0.6
Q.1 State whether True or False: 04
Sampling increase accuracy of results
Median cannot be determined from histogram
Any sub-set of population is called event.
Consistency of data increases as C.V. decreases.
Q.2 Attempt any Two 14
Explain simple random sampling method.
Compute mode for the data given below.
Class 20-40 40-60 60-80 80-100 100-120 120-140
frequency 14 17 21 29 26 13
Compute Karl Pearson's coefficient of correlation between X and Y if
and 10, 90, 115, 1014,
1544, 1140.
Q.3 Attempt any Two 14
Define:
Class-limits
Discrete variable
Continuous variable
Open-end classes
Find price index number for the data given below by
Weighted aggregate method
Weighted average of price relatives method.
Commodity Price in base
period
Price in Current
period
Weights
A 10 18 24
B 15 15 25
C 2 1.5 2.5
Find range, coefficient of range and s.d. for the following data.
Class 5-15 15-25 25-35 35-45 45-55
Freq. 7 12 18 14 10
Q.4 Attempt any Two 14
Define range, coefficient of range. State merits and demerits of range.
Given: 10, 110, 140, 2220, 3350,
1970. Obtain equations of lines of regression y on x and x on y.
Given: find P(AUB) if
A and B are mutually exclusive
A and B are independent
Q.5 Define Probability .State addition and multiplication laws of probabilities. 07
Draw greater than ogive to represent the following data and hence obtain
median
Class 100-110 110-120 120-130 130-140 140-150 150-160
frequency 10 14 30 20 17 11
07
Page 3 of 3
SLR-CD-5
Q.6 Explain scatter diagram method of studying correlation between two
variables.
07
A firm appoints 3 types of workers as clerks, assistants and helpers. The
mean salary paid to 40 clerks is Rs.460 and that to 25 assistants is Rs.660.
Find mean salary paid to 35 helpers if mean salary of all workers is Rs.500
07
Q.7 Attempt any Two 14
Define Index number and explain selection of base period in construction
of index no.
Explain concept of regression. Define regression coefficients.
A coin and a die are tossed at a time. Write sample space and find
probability of getting
Even number
Head and perfect square number.