Maths:Topic Four: "Measures of dispersion : Part 1"

Topic Four: "Measures of dispersion : Part 1"

The first part of "Measures Of Dispersion" is: "Average".

"Average"

Average consist of 3:

1. Mean
2. Median
3. Mode

1. Mean

Mean is where you need to find the average. For example:

1,2,3,4,5,6,7,8

The the steps for finding Mean is:

• To find the total or sum of the number:
• SUM= 1+2+3+4+5+6+7+8 
• SUM= 36 

• Then, you just need to divide the SUM by the values of the number:

• 1,2,3,4,5,6,7,8 = the total number of this values are : 8
•  So, 36/8 = 4.5 

• The Mean is equal to : "4.5"

Here is another example:

10,2,8,7,11,9,5

• First Step: Find the SUM; 
• SUM= 10+2+8+7+11+9+5
• SUM= 52

• Second Step: Divide by total number of of the values
• 10,2,8,7,11,9,5 = the total number of values: 7
• So, 52 / 7 = 7.43

• The Mean is equal to : "7.43"

Here is another example: but this time with specific request:

• Find the MEAN of the following numbers below. Give your answer in 2 DECIMAL PLACES.  

28,1,9,56,100.3,2,1,2 

• SUM = 28+1+9+56+100+3+2+1+2
• SUM = 202

• Total number of values: 9
• MEAN = 202 / 9
• MEAN = 22.44444444......(Original)
• MEAN = 22.44 (2 Decimal Places)

KEY-POINTS: 

 First you need to find the SUM of the values. Then, you DIVIDE the SUM by the NUMBER OF VALUES.  

TO BE CONTINUE...

Maths: Topic Three: "Sequence"

Topic Three: "Sequence"

What is a sequence? 

A list of numbers or objects in a special order.

Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Examples:

Reference:

https://www.mathsisfun.com/numberpatterns.html

Maths: Topic Two: "Logarithm"

Topic Two: "Logarithm"

Definition:

A logarithm is the power to which a number must be raised in order to get some other number

 For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100:

log 100 = 2

because

10² = 100

The Laws Of Logarithms:

 

Examples:

References:

https://www.mathsisfun.com/algebra/logarithms.html

Maths: Topic One: "Indices"

Topic One: "Indices"

Introduction

Indices are a useful way of more simply expressing large numbers. They also present us with many useful properties for manipulating them using what are called the Law of Indices.

The Laws of Indices:

Example:

Taken From http://mathematics.laerd.com/maths/indices-4.php

Taken From http://mathematics.laerd.com/maths/indices-1.php