B.Sc. (E.C.S.) (Part (Semester (CBCS) Examination, 2018
Paper VIII Descriptive Statistics I
Day and Date Tuesday, 13-11-2018 Total Marks 70
Time 10.30 a.m. to 1.00 p.m.
Instructions All questions are compulsory.
ii) Figures to right indicate full marks.
iii) Use of soundless calculator is allowed.
1. Select most correct alternative 14
From Less than Ogive Curve, we can determine
Median Quartiles Deciles All of these
The A.M. of 35, 34, 30, 32, 33, 25 is 27 then value of is
0 25
27 None of these
Let A First order central moment is zero.
B The measure of kurtosis is based on even ordered central moments.
Then
Only A is true Only B is true
Both A and B are true Both A and B are false
Measure of dispersion that based on extreme observations is
Q.D. S.D.
Range None of these
Drinking habit of a person is
an attribute discrete variable
continuous variable none of these
The measure of central tendency that is based on all observations is
A.M. Median
Mode All of these
Quartiles are the values that divides the given set of observations into
when data is arranged in ascending order.
two equal parts four equal parts
three equal parts five equal parts
Which of the following measure of dispersion is a relative measure of
dispersion
Range Q.D.
S.D. Coefficient of Q.D.
The range and coefficient of range of the values 11, 10, 13, 14, 12, 20, 18,
19 are respectively.
10 and 2/3 20 and 1/3 10 and 30 10 and 1/3
10) If the value of coefficient of Kurtosis β2 is than the frequency distribution is said to be
Leptokurtic Platykurtic Mesokurtic None of these
11) For a given frequency distribution, A.M. 50 and median mode 50 then
frequency distribution is
Asymmetric Symmetric
Negatively skewed Positively skewed
12) In a moderately skewed distribution, the mode and mean are 40 and 50
respectively then the value of median is
46.66 47.66 55 None of these
13) If the population under study is heterogeneous type then sampling
method provides a representative sample.
SRSWR SRSWOR Stratified Systematic
14) For a given frequency distribution, the A.M. is 20 and variance is 81, then
C.V. is
45 20 81 None of these
2. Attempt any four 8
Find median for 37, 42, 55, 43, 44, 32, 30, 50 and 30.
Define A.M.
State any two advantages of sampling over census method.
Given Q1 15 and Q2 20 and Q3 30. Comment on skewness.
First two raw moments are 5 and 26 respectively. Find S.D.
Attempt any two 6
Write a note on weighted A.M.
The first 3 raw moments are 9 and 105 respectively find third order
central moment.
Given n 12, Σx 108 and Σ(x 9)2 144. Find c.v.
3. Attempt any two 8
What is kurtosis Explain types of kurtosis.
Find third quartile for the data given below.
Marks 10 20 30 40 50
No. of Students 10 15 20 8 4
Find first four raw moments for the data given below
X 1 2 4 6 8
F 4 8 12 6 2
Attempt any one 6
Define Pie-diagram. Explain construction of it.
For a group of 10 observations the mean was 50 letter on it was
discovered that the observations 14 and 60 were misread as 40 and 16
respectively. Find correct mean.
4. Attempt any two 10
The monthly mean wages for factory A and B are Rs. 5,000 and Rs. 7,000
respectively and S.D. of wages are Rs. 100 and Rs. 130 respectively.
In which factory wages shows more variability Justify your answer.
Describe Systematic sampling with illustration.
For a distribution A.M. is variance is 16, m3 64 and m4 162. Find
comment on skewness and kurtosis.
Attempt any one 4
Distinguish between absolute and relative measures of dispersion.
For a moderately skewd distribution, A.M. 30, variance 64 and
coefficient of skewness is 0.4, find median.
5. Attempt any two 14
Draw histogram for the data given below hence determine mode.
Weight 40 50 50 60 60 70 70 80 80 90 90 100
No. of Persons 20 30 40 25 15 10
For a distribution the mean is 10, variance is 16, third central moment
is 1 and fourth central moment is 1024. Obtain first four moments about
origin.
Define variance state formula for combined variance and state its merits
and demerits.