M.Sc. (Semester III) (CBCS) Examination Oct/Nov-2017
Environmental Science
ENVIRONMENTAL STATISTICS
Day Date: Tuesday, 21-11-2017 Max. Marks: 70
Time: 02.30 PM to 05.00 PM
Instructions: Answer any Five Question.
All Questions carry equal marks.
Question No. 1 is Compulsory.
Attempt any two questions from Q.No.2, 3 and 4.
Attempt any two questions from Q.No.5, 6 and 7.
Draw neat and labeled diagrams wherever necessary.
Scientific calculator is allowed for calculations.
Q.1 Select the answer among the following 14
In a frequency distribution, the mid-value of a class is 60.5 and the width of
the class is 10. The lower limit of the class is
55.5 65.5
62.5 56.5
The median of the data: 19,25,59,48,35,31,30, 32, 51. If 25 is replaced by
52, what will be the new median.
35 53
43 45
The degree of peakedness is
Kurtosis Skewness
Symmetry Dispersion
By which other name is the chi-square goodness of fit test known?
Two sample chi-square Wilcoxon
One sample chi-square Directional chi-square
What is the expected number of heads appearing when a fair coin is
tossed three times?
2.1 1.5
3.2 4.1
Any hypothesis which is tested for the purpose of rejection under the
assumption that it is true is called:
Null hypothesis Alternative hypothesis
Statistical hypothesis Composite hypothesis
Which method of analysis does not classify variables as dependent or
independent?
Regression analysis Discriminant analysis
Analysis of variance Cluster analysis
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A coefficient of correlation is computed to be -0.95 means that
The relationship between two variables is weak.
The relationship between two variables is strong and positive
The relationship between two variables is strong and but negative
Correlation coefficient cannot have this value
In case of open-ended classes, an appropriate measure of dispersion to be
used is
Range Quartile Deviation
Mean Deviation Standard Deviation
10) The correlation between two variables is called
Multiple correlation Partial correlation
Simple correlation Total correlation
11) Student's t-statistic is applicable in case of
Equal number of samples Unequal number of samples
Small samples All of the above
12) The specific statistical methods that can be used to summarize or to
describe a collection of data is called:
Descriptive statistics Inferential statistics
Analytical statistics All of the above
13) The correlation between two variables is called
Multiple correlation Partial correlation
Simple correlation Total correlation
14) The most important part of is selecting the variables on which
clustering is based.
Interpreting and profiling clusters
Selecting a clustering procedure
Assessing the validity of clustering
Formulating the clustering problem
Q.2 Answer the following.
Differentiable between median and mode? Discuss their merits and
demerits.
14
Calculate the geometric mean of the following data.
Number of
Seeds per
plant
80-90 90-100 100-110 110-120 120-130 130-140
Number of
plants
12 22 37 27 26 10
Q.3 Answer the following 14
Calculate mean, variance and standard deviation from the following data
recorded on the number of Clusters in variety of Black gram.
Number of Clusters: 10, 10, 10, 12, 13, 15, 15, 17, 20.
What are characteristics of Chi-Square test?
The ratio of the male and the female births is expected to be 1:1. It was
founded in one village that the male children born were 52 and the females
were 48. Calculate the and interpret your test.
Q.4 Answer the following. 14
What is correlation? Discuss various methods of studying correlation.
Discuss the concept of probability with addition and multiplication rule.
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Q.5 Write a short notes on following: 14
Methods of Sampling.
Cumulative Frequency Curve.
Q.6 Write in brief on the following. 14
What is cluster analysis? Add a note on different types of clusters.
Discuss type I and type II error in testing of hypothesis?
Q.7 Write an account on the following 14
What is principle component analysis? Discuss its importance in
environmental studies.
What are basic principles of experimental design?