Question

Can somebody explain all 4 methods of deriving mean of a set of numbers?

Answer 1

Step-by-step explanation:

Derivation of mean

Method 1 - In statistics the assumed mean is a method for calculating the arithmetic mean and standard deviation of a data set. It simplifies calculating accurate values by hand. Its interest today is chiefly historical but it can be used to quickly estimate these statistics

Answer 2

hi baby

Set theory has its own notations and symbols that can seem unusual for many. In this tutorial, we look at some solved examples to understand how set theory works and the kind of problems it can be used to solve.

Definition

A set is a collection of objects.

It is usually represented in flower braces.

For example:

Set of natural numbers           = {1,2,3,…..}

Set of whole numbers             = {0,1,2,3,…..}

Each object is called an element of the set.

The set that contains all the elements of a given collection is called the universal set and is represented by the symbol ‘µ’, pronounced as ‘mu’.

For two sets A and B,

n(AᴜB) is the number of elements present in either of the sets A or B.

n(A∩B) is the number of elements present in both the sets A and B.

n(AᴜB) = n(A) + (n(B) – n(A∩B)

For three sets A, B and C,

n(AᴜBᴜC) = n(A) + n(B) + n(C) – n(A∩B) – n(B∩C) – n(C∩A) + n(A∩B∩C)

 

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