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Tuesday, August 16, 2016

IGNOU MBARS MRS-011 Quantitative Techniques 2015 Question Paper

Indira Gandhi National Open University (IGNOU) Question Paper
Term-End Examination June, 2015
Time : 3 hours Maximum Marks : 100
Note : Attempt any five questions. All questions carry
equal marks.
1. (a) What do you mean by Dispersion ? Give the meaning of Absolute Measure and Relative
Measure with examples. 10
(b) Statistics is a science of making decisions with respect to the characteristics of a group of persons or objects on the basis of numerical information obtained from a randomly selected sample of the group. Explain the above statement with the help of a suitable example. 10
2. (a) How many types of Series are there on the basis of Quantitative Classification ? Give the difference between Exclusive and Inclusive Series. 10
(b) What do you mean by quartiles ? How does it differ from percentile ? Explain with the help of a suitable example. 10

3. (a) Give examples of two variables that are positively correlated and negatively correlated. Suggest the suitable method for finding the correlation coefficient for each pair.
(b) A researcher wished to determine if  age is related to the number of hours he or she exercises per week. The data obtained from a sample is given. State your opinion based on Karl Pearson's coefficient of correlation for the data :
Age x 18 26 32 38 52 59
Hours y 10 5 2 3 1.5 1
4. (a) What is the probability of obtaining exactly 4 heads in 6 flips of a fair coin ?
(b) What is Geometric Mean ? Give the Algebraic characteristics of Geometric Mean and state when Geometric Mean isuseful.
5. Distinguish between any two of the following : 2x10=20
(a) One-way and Two-way correlation
(b) Mode and Median
(c) Mean Deviation and Standard Deviation
6. Explain the following terms with the help of an example : 4x5=20
(a) Chi-Square
Type-I and Type-II Error
Matrix Algebra

7. Briefly comment on any two of the following : 2x10=20
(a) Can the first quartile equal the third quartile ?
(b) Is the sample mean always the most frequently occurring value ?
(c) Larger sample provides more relevant information, and as a result a more accurate estimation and better statistical judgement.
8. Write short notes on any two of the following : 2x10=20
(a) Essentials of an Ideal Average
(b) Inter-Quartile Range
(c) Hypothesis testing

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