B.C.A. (Semester II) (CBCS) Examination Nov/Dec-2018
COMPUTER ORIENTED STATISTICS
Time: 2½ Hours Max. Marks: 70
Instructions: 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 alternative:- 14
From histogram we can obtain
Mean Median
Mode All of these
An event which does not contain any sample point is known as
Null event Sure event
Certain event None of these
If the variables X and Y are independent, then correlation between them is
1 1
Zero None of these
Measure of dispersion that based on extreme observations is
S.D. C.V.
Coefficient of range All of these
Laspeyre's price Index formula uses as weights. S
Current year quantity Current year price
Base year quantity Base year price
If correlation coefficient between X and Y is 0.75, then correlation coefficient
between -3X and Y is
+0.75 0.75
Zero None of these
If all observations are increased by 5 then value of mode becomes
Increased by 5 Increased by 1.5
Decreased by 5 As it is s
The method of sampling in which a same unit may be selected more than
once is
SRS SRSWOR
SRSWR All of these
If 0.5 and P 0.24 then is equal to
0.5/0.24 1
0.24/0.5 None of these
10) If 426, 360, then appropriate I. No is
(426/360) x 100 360/426
426/360 None of these
11) One of the regression coefficient is negative, then the correlation coefficient
is
Positive Negative
Zero All of these
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12) A coin is tossed. Let getting head, B getting tail, then events A and B are
Mutually exclusive Equally likely
Exhaustive All of these
13) The difference between upper and lower limits of a class gives
The mid point The class width
The class frequency None of these
14) The characteristic which cannot be measured in unit is known as
Variable Constant
Attribute Constant variable
Q.2 Attempt any seven of the followings. 14
Find range and its coefficient from the following series of observations.
15, 30,14,18, 20, 7
Define Index Number.
Define mode.
Find median from the observations 12,10, 3.
The equation of regression line of X on Y is Y 6X 30 0 find bxy
Define Regression.
If Laspeyre's Price I. No. 120, Paasche's Price I. No. 175. Find
appropriate Index No.
State any two demerits of mean.
If 10, 100 1024 find Variance
Q.3 Attempt any two of the followings:- 10
Explain concept of measures of dispersion.
Find
1
3

1
4

1
6
From the following data find the missing frequency when mean is 15.38.
Size 10 12 14 16 18 20
Frequency 3 7 20 8 5
Explain Simple Random Sampling method. 04
Q.4 Attempt any two of the followings:- 14
Define correlation. Explain the types of correlation.
The equations of line of regression are,
4X 3Y 0 and 3X Y 5
Find Mean of X and Y
II) Correlation coefficient between X and Y
Find range and S.D. for the following data
Class 3-6 6-9 9-12 12-15 15-18
Frequency 2 6 12 8 3
Q.5 Attempt any two of the following:- 14
Define
Mutually Exclusive events
Equally likely events
Probability
Draw histogram for the following data and hence find mode:
Mid -Values 25 35 45 55 65 75
Frequencies 15 20 33 23 17 12