Probability Sampling, Second Property - Social Research Method - Exercise, Exercises of Research Methodology

This file contains some problems from exercise. its assignment for Social Research Method. It includes: Probability Sampling, Second Property of the Mean, Variance, Marital Status, Number of Siblings, Educational Attainment, Position in Birth Order of Siblings, Statistics Test, Second Property, Distributions

Typology: Exercises

2011/2012

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DEPARTMENT OF SOCIOLOGY: SOCIAL RESEARCH METHODS
Revision Exercise
1. Write a brief account of the following, giving examples where appropriate:
(a) Probability Sampling; (b) Mean; (c) Second Property of the Mean; (d) Range;
(e) Variance.
2. The following variables are frequently encountered in social research. Identify the level of
measurement usually associated with each:
(a) Marital Status; (b) Ethnicity; (c) Number of Siblings; (d) Educational Attainment;
(e) Position in birth order of siblings.
3. A sample of students received the following scores on a statistics test:
55, 40, 35, 35, and 60
a) Using the above data by way of an example, demonstrate the statistical accuracy of both
the first and second property of the mean.
4. The following distributions represent the performance of two classes on an exam:
Class 1 Class 2
98 98
97 91
94 89
93 83
90 83
90 83
90 79
88 78
87 76
85 74
82 72
81 71
80 69
77 68
73 67
a) What are the modes for class 1 and class 2?
b) What are the medians for class 1 and class 2?
c) What are the means for class 1 and class 2?
d) What are the ranges for class 1 and class 2?
e) What are the variance and standard deviation for class 1?
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DEPARTMENT OF SOCIOLOGY: SOCIAL RESEARCH METHODS

Revision Exercise

  1. Write a brief account of the following, giving examples where appropriate: (a) Probability Sampling; (b) Mean; (c) Second Property of the Mean; (d) Range; (e) Variance.
  2. The following variables are frequently encountered in social research. Identify the level of measurement usually associated with each: (a) Marital Status; (b) Ethnicity; (c) Number of Siblings; (d) Educational Attainment; (e) Position in birth order of siblings.
  3. A sample of students received the following scores on a statistics test:

55, 40, 35, 35, and 60

a) Using the above data by way of an example, demonstrate the statistical accuracy of both the first and second property of the mean.

  1. The following distributions represent the performance of two classes on an exam:

Class 1 Class 2

98 98 97 91 94 89 93 83 90 83 90 83 90 79 88 78 87 76 85 74 82 72 81 71 80 69 77 68 73 67

a) What are the modes for class 1 and class 2? b) What are the medians for class 1 and class 2? c) What are the means for class 1 and class 2? d) What are the ranges for class 1 and class 2? e) What are the variance and standard deviation for class 1?

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f) What are the variance and standard deviation for class 2? g) Compare the variances of class 1 and class 2 and explain why they differ?

  1. In light of a recent government initiative to expand the M1 motorway between London and Surrey, a survey was carried out to investigate differences in attitudes between London and Surrey residents. It was found that in a sample of 1,000 London residents, only 100 favoured this expansion, while 900 objected to it. However in a sample of 1,000 Surrey commuters, 800 voted for the expansion, while only 200 disagreed with the initiative.

a) Identify the independent and dependent variable. b) Present the data in tabular form.

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