Investigating and comparing data distributions

General Mathematics: Units 1 and 2

Introduction

Welcome

Learning objectives

Recap of past learning

The mean

Example: The mean

The median

The median: Odd number of data items

The median: Even number of data items

Finding the position of the median

Example of finding the median

Comparing the median and the mean

The range

Example of finding the range

The interquartile range

Example: The interquartile range

Standard deviation

What is the standard deviation: A detailed introduction

Finding the standard deviation by hand

Using the CAS to find the standard deviation

Summary

This is another video in the General Maths Units 1 and 2 course. This one looks at how we can use summary statistics to summarise data. I take a look the how to find the mean (and what that actually means). We look at finding the median for both odd and even numbers of data items. The range follows with a discussion about how this isn't a great measure of anything. I look at a comparison between the median and the mean and which is the best to use before heading into the excitement which is the Interquartile range. Finally I look at what the standard deviation is and how we find it using pencil and paper and CAS. There are a number of worked examples and all the theory is explained in my own unique style!

LEGAL STUFF (VCAA)

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

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Video tags

vce maths
maths tutorials
summarising data
find the mean
find the median
find the range
find the interquartile range
find the standard deviation
summary statistics
comparing median and mean
Do I use the median or the mean
general maths
year 11 maths
grade 11 maths
unit 1 and 2 maths