B.C.A. (Semester II) (CBCS) Examination, 2017
COMPUTER ORIENTED STATISTICS
Day Date: Saturday, 22-04-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
N.B. All questions are compulsory.
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: 14
To test blood method is applicable.
Census Sampling
and both None of these
A characteristic that cannot be measured in unit is called
Discrete variable Continuous variable
Constant Attribute
The measure of central tendency that based on all observations is

A.M. Median
Mode None of these
S.D. is a measure of
Central tendency Dispersion
Correlation Regression
The correlation between two variables is perfect if they changes

In same direction In opposite direction
Proportion None of these
If regression coefficients are then correlation coefficient
between two variables is
-ve +ve
+ve or -ve None of these
If Laspeyre's and Paasche's price index numbers are x and y
respectively, then Fisher's price index number is
xy
100.(xy)1/2 None of these
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The events A and B are mutually exclusive, then
1
1 None of these
A frequency distribution shows maximum frequency is 25
corresponding to 20, then mode becomes
20 25 Less than 20 None of these
10) The correlation between X and is
Zero None of these
11) If then is
4/3 Less than 1
Greater than 1 None of these
12) The range of 5 values is 20. If each value is doubled, then rang
becomes
5 20 10 40
13) Median can be determined graphically by using
Less than ogive Greater than ogive
and both Histogram
14) If event A is subset of event then

None of these
Q.2 Answer the following (Any 14
Define Attribute, frequency.
Define Mode and state formula for grouped data.
State any two advantages of sampling method.
Define index number.
Find value of if
Given: Var(X)=49. Find C.V. of X
Given: and P(A∩B)=0.35.Find
Use empirical relation between mean, median and mode. Find
median if mean and mode are 40 and 18 respectively.
Given: find equation of line of
regression X on Y.
Q.3 Attempt any two of the following: 10
A bag contains 25 tickets numbered 1 to 25. A ticket is drawn
at random, find probability of getting a ticket with number
divisible by 3 ii) odd
The A.M. of daily wages of the workers of factory A and B
are Rs. 180 and 220 respectively. Find percentage of
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workers in factory A and B if combined A.M of daily wages is
Rs. 190.
Find Fisher's quality index number from the data given
below.
Commodity
Base Year Current Year
Price Quality Price Quality
A 30 1.5 25 3
B 20 2 35 1.5
Explain types of correlation. 04
Q.4 Attempt any two of the following. 14
Draw histogram to represent the following data and hence obtain
mode.
Height
in cm.
145-150 150-155 155-160 160-165 165-170 170-175
No. of
students
40 65 80 70 35 20
Find price number for the year 2002 from the following data by
Simple average of relatives method
ii) weight average of relative method
Commodity G H K L
Price in 2001 35 50 75 100
Price in 2002 40 45 70 120
Weight 2 3 1.5 4
Explain scatter diagram method of studying correlation.
Q.5 Attempt any two of the following. 14
Define
Event
ii) Mutually exclusive events
iii) Equally likely events
iv) Exhaustive events
Find range and s.d. for the data given below.
Class 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 3 7 12 10 9 5
Find Karl Pearson's coefficient of correlation between X and Y and
interpret the result
X 12 18 20 15 14
Y 7 10 9 12 11