Sampling distribution of a statistic is the frequency distribution which is formed with various values of a statistic computed from different samples of the same size drawn from the same population.

**Sampling
distribution**

**Definition 8.3**

Sampling distribution
of a statistic is the frequency distribution which is formed with various
values of a statistic computed from different samples of the same size drawn
from the same population.

For instance if we draw
a sample of size n from a given finite population of size N, then the total
number of possible samples is For each of these k
samples we can compute some statistic, *t* = *t*(*x*_{1} , *x*_{2}
, *x* _{3} ,...*x _{n}* ), in particular the mean , the variance S2, etc., is given below

The set of the values of
the statistic so obtained, one for each sample, constitutes the sampling
distribution of the statistic.

**Standard Error**

The standard deviation
of the sampling distribution of a statistic is known as its Standard Error
abbreviated as S.E. The Standard Errors (S.E.) of some of the well-known
statistics, for large samples, are given below, where *n* is the sample
size, *σ*^{2} is the population
variance.

Tags : Definition, Formulas , 12th Business Maths and Statistics : Chapter 8 : Sampling Techniques and Statistical Inference

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12th Business Maths and Statistics : Chapter 8 : Sampling Techniques and Statistical Inference : Sampling distribution | Definition, Formulas

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