Monday 20 February 2012

Simple random sampling

Previously we have discussed about application of differential calculus  and In today's session we are going to discuss about Simple random sampling  which is fronm cbse previous year question papers class 12.

Some points to understand Simple random sampling:-

• The set of total observations that can be calculated in the experiment is called population.

• Sample can be defined as a set of observations drawn from the population.

• Statistics is related to sample which is a measurable characteristic of the samples like standard deviation.

• Sampling method is the procedure of selecting sample elements from the population that were made.

• Random number is a matter of chance having no relationship with the occurrence of other number.

• Simple random sampling related to sample method having following properties

1.  In Simple random sampling population can have n number of objects.

2.  Simple random sample that is chosen can also have N number of objects, here n ≠ N.

3.  All possible samples of N objects have same probability to occur.

Samples chosen with the help of simple random sampling are refers to the population this is the measure profit of choosing simple random sampling, it means that the conclusion will be valid.

There are several methods to get simple random sample for example lottery ticket is the example of simple random sampling in which a unique number is assigned to each member of N population. These numbers are placed in a bowl and then thoroughly mixed then a blind folded researcher selects n numbers from the bowl. The selected n numbers are called the samples taken from the population.

There are two other terms too; sampling with replacements and sampling without replacements.

In the above example of lottery ticket when a number is picked from the bowl; if it putted aside by the blind folded researcher then the probability of occurrence of this number is only once and if this number is putted back in the bowl then the number can be selected further too.

This is sampling with or without replacements.

If a population element has the chance to be selected more than one time then it is called sampling with replacements.

If a population element only can be selected one time then this sampling is called sampling without replacements.

In the next session we will discuss about Representations of data and You can visit our website for getting help from online tutors.

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