M.C.A. (Science) (Semester III) (CGPA) Examination, 2017
COMPUTING ORIENTED STATISTICS
Day Date: Thursday, 27-04-2017 Max. Marks: 70
Time: 02.30 PM to 05.00 PM
Instructions Question No.1 and 2 are compulsory.
Attempt any 3 questions from Q.NO. 3 to Q. No. 7
Figures to the right indicate full marks.
Q.1 Choose the most correct alternatives: 10
divides the data into two equal parts.
Median Mode Mean None of these
The variance of geometric is
q/p q/p2 np npq
If any of the observations is zero then can not be
defined.
Arithmetic mean Geometric mean
Harmonic mean None of these
Total area under the curve in probability of density function is
0 1 Infinity
Average remains good representative if dispersion is
More Less Constant None of these
Each trial in Binomial distribution has
One outcome Two outcome
Three outcome Four outcome
Second moment about mean is
Standard deviation Variance
Mean Coefficient of Variation
In case of symmetric distribution
Mean=Median=Mode Mean>Mode>Median
Mean<Mode<Median None of these
The mean of Poisson distribution is
Always less than its variance
Always more than its variance
Always equal to standard deviation
Always equal to variance
Page 1 of 2
10) Normal distribution is
Leptokurtic Mesokurtic
Platykurtic None of these
Fill in the blanks. 04
Probability always lies in between
Range of Karl Person's coefficient of correlation is
The arithmetic mean of absolute deviation from mean is called
as
If standard deviation is 5 and arithmetic mean is 25 then
coefficient of variation is
Q.2 Define probability. 03
ii) If n=100, ΣX= ΣX 2=220, find S.D and Coefficient of
variation.
03
Explain the concept of normal distribution. 04
ii) Suppose a pair of an unbiased dice is tossed. Find the probability
of getting same numbers on the upper faces of dice.
04
Q.3 What do you mean by central tendency? Describe the various
measures of central tendency.
07
What is frequency curve? Draw a frequency curve for the following
data.
07
Class 100-300 300-500 500-
700
700-
900
900-
1100
1100-
1300
Frequency 6 16 24 20 10 4
Q.4 Calculate mean deviation about median and coefficient of mean
deviation about median for following frequency distribution.
07
Marks 40-50 50-60 60-70 70-80 80-90 90-100
Frequency 4 6 10 18 9 3
Obtain a line of regression of Y on X for the following data. 07
X 2 3 5 7 9 10 12 15
Y 2 5 8 10 12 14 15 16
Q.5 Give the procedure of generating random observations from
uniform distribution.
07
Define exponential distribution. On the average, a certain computer
part lasts 10 years. The length of time the computer part lasts is
exponentially distributed. What is the probability that a computer
part lasts more than 7 years?
07
Q.6 Four cards are down from the pack of 52 playing cards. Find the
probability of getting.
07
One card of each suit ii) Two club cards and two hearts.
If r.v. X has binomial distribution with mean 16 and variance find
and
07
Q.7 State the different measures of correlation and describe Karl
Pearson's coefficient of correlation.
07
Explain the concept of Poisson distribution. For a Cake shop, per
day 1 customer is arrives, obtain probability of 2 persons arrive
tomorrow.