B.C.A (Semester II) (CBCS) Examination Oct/Nov-2017
COMPUTER ORIENTED STATISTICS
Day Date: Monday,20-11-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
Instructions: All questions are compulsory.
Figures to the right indicate full marks.
Use of calculator is allowed.
Graph paper will be supplied on request
Q.1 Choose the correct alternative. 14
If population is infinite, then it is studied by method only.
Census Sampling
and both None of these
A measurable characteristic whose value does not changes is
Discrete variable Continuous variable
Constant None of these
The value of variable that related to maximum frequency is
A.M Median
Mode None of these
The measure of dispersion that depends up on only extreme observations is

Range s.d
c.v None of these
Two variables are positively correlated if they are changes
In same direction In opposite direction
At random None of these
If correlation coefficient is ve, then both regression coefficient
-ve +ve
May be ve or- ve None of these
If then Laspeyre's price index
number


The events A and B are mutually exclusive if
0
1 None of these
The A.M of 10 observation is 20, if each observation is increased by 7 then A.M.
will
20 10
27 17
10) If 0.4, then
0.4 0.6
-0.4 -0.6
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11) if
4
3
and −
1
3
is


12) The range of 5 observations is 20. If each observation is doubled then range
becomes
5 10
20 40
13) Index number is an application of
Averages Dispersion
Regression Correlation
14) If then events A and B
Mutually exclusive Equally likely
Independent Exhaustive
Q.2 Answers to the following. [Any seven] 14
Define Population and Sample.
Define Arithmetic mean.
State any two objectives of classification.
Define Regression.
Given: 25, Var(X) 441, var(Y) 1600, find correlation coefficient
between X and Y.
Given: 15, 3415. Find Var(X).
Find if 0.4, 0.5 and 0.3.
Find median of 12, 16, 14, 25, 21, 22
Given: 140, 100, 80. Find Paasch's quantity index
number.
Q.3 Answer any two of the following questions 10
A card is drawn at random from a pack of 52 playing cards. Find probability
of getting
Black card
ii) Picture card
10, 65, 84, 645, 1247, 621. Find
correlation coefficient between X and Y.
Find Fisher's quantity index number from the data given below.
Commodity Base year Current year
Price Quantity Price Quantity
A 20 3 15 5
B 8 3 10 4
Write a note on cumulative frequency distribution. 04
Q.4 Answer the following (Any 14
Draw histogram to represent the following data and hence obtain mode.
of marks 50-55 55-60 60-65 65-70 70-75 75-80 80-85
No. of students 12 18 22 30 28 19 10
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Find price index for the year 2010 from the following data by
Simple aggregate method
ii) Weighted aggregate method
Commodity G H K L
Price in 2009 22 58 70 120
Price in 2010 30 50 66 116
Weight 5 9 4.5 3
Explain simple random sampling method and give one illustrated example
Q.5 Answer the following (Any 14
Define S.D and state its merits and demerits.
Find A. M and mode for the data given below.
X 14 18 22 27 32 40
f 5 12 17 14 10 3
The equations of lines of regression are 4X 7Y 89 and 5X 3Y =71. Find:
A.M. of X and Y
ii) Correlation coefficient between X and Y