Question

Write short note on sampling distribution and standard error

Answer 1

Sampling distribution:

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 a size n from a given finite population of N, then the total number of possible samples is

Nc_n = `("N"!)/("n"!("N" - "n")!)` = k(say)

Standard Error:

The standard deviation of the sampling distribution of a statistic is known as its standard error abbreviated as S.E.

The standard error (S.E) of some of the well-known statistics, for large samples, are given below, where n is the samples size, σ² is the population variance.