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Chapter 3: Q4 (page 107)

Symbols Identify the symbols used for each of the following: (a) sample standard deviation;(b) population standard deviation;(c) sample variance;(d) population variance.

Short Answer

Expert verified

The following symbols are used:

(a) Sample standard deviation:s

(b) Population standard deviation:σ

(c) Sample variance:s2

(d) Population variance:σ2

Step by step solution

01

Parameter and statistics

The various mathematical measures computed for the population are called theparameters, and those computed for the sample are called thestatistics.

The mean and variance of a population are categorized as parameters.

The mean and variance of a sample are categorized as statistics.

02

Symbols for parameter and statistics

Different symbols are used to denote parameters and statistics. Some of the commonly used symbols are as follows:

(a)

The notation s is used for the standard deviation of the sample.

(b)

The notationσis used for the standard deviation of the population.

(c)

The notations2is used for the sample variance.

(d)

The notationσ2is used for the population variance.

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