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solved SMU assignments for the Questions Q1. Explain the following terms with respect to Statistics: (i) Sample, (ii) Variable, (iii) Population.

Answer: (i) Sample : Sample is a finite subset of a population. A sample is drawn from a population to estimate the characteristics of the population. Sampling is a tool which enables us to draw conclusions about the characteristics of the population. The figure illustrates the population and sample.
(ii) Variable
A variable in the mathematical sense, i.e. a quantity which may take any one of specified set of values. It is convenient to apply the same word to denote non-measurable characteristics, e.g., 'sex'
is a variable in this sense since any human individual may take one of two 'values', male or female. It is useful, but far from being the general practice, to distinguish between a variable as so defined and a random variable (The International Statistical Institute, "The Oxford Dictionary of Statistical Terms", edited by Yadolah Dodge, Oxford University Press, 2003).

(iii) Population
Universe or Population
Statistical survey or enquiries deal with studying various characteristics of unit belonging to a group. The group consisting of all the units is called Universe or Population. The figure illustrates the population.


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