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This video takes a look at how to create dot plots and stem plots. It also shows how to read them and the reasons why we might choose to use them over other forms of data representation.
This video looks at the median. range and Interquartile Range with a view to measures of spread of data. Whilst we have looked at using the Range before, it isn't very useful if there are outliers. Hence, we can use a new idea called the Interquartile Range to help us look at the range of the middle 50 percent of the data. This means that outliers have less of an impact. There are a number of worked examples which show how to find the IQR. There is also some great exam help and information.
Have you ever woken screaming in the night as you've not fully understood the concepts behind the 5 number summary? Well, this is the video for you as I'm going to spend time explaining this to you and throw in the added bonus of box plots too! I spend time looking at the five number summary which is: minimum, lower quartile, median, upper quartile and maximum values. I look at how these can be expressing using a box plot and how we can show outliers using the idea of fences. So much fun in one video - I hope it doesn't go viral!
This video is a continuation of the videos dealing with Further 3 and 4. We have looked at the five number summary and what a box plot means (and shows). This video ties in the work from the box plot and five number summary to describe the shape of distributions. By looking at the form of the box plot we can link the shape to symmetrical or positively/ negatively skewed data. This means we can now describe trends and use comparisons between data sets when we have to write reports. There are more videos on this series to follow.
This video uses three examples to show how to use a box plot to describe the shape, centre, outliers, and spread which a box plot can show. It looks at how to find the IQR and how to use the median as the measure of spread.
This video takes a look at how we decide which of the measures of centre we are best using. We can choose between the Median and the Mean. The video looks at what each of these mean and how we can decide which to use depending on whether the data is symmetrical or skewed. Examples are given which highlight the differences. I then move on to how to find the mean using both the old ways and the new formula before moving onto the ideas of Standard Deviation. I show how to find the Standard Deviation using the CAS and explain why it's going to be important to know.
So you've woken up in the night wondering what the 68-95-99.7% rule is and why we would call a distribution normal? Well, this is going to the video for you. I take a small amount of time to talk through what a normal distribution is and why we need it. I look at standard deviations and how we can split the normal distribution into chunks. I relate this to the VCE and then look at the percentages which lie between the standard deviations AND the individual sections. I end the video with an example which explains how to read, construct and use a normal distribution curve.
This video takes a look at what Standard Scores are. It's part of the Further Maths 3 and 4 course as part of the Core Module. Building on the previous videos, I take a look at what it means to be a standard (or Z) score. I relate it to Standard Deviations and look at why we need to have Z-Scores. Comparing different scores from different tests is the answer. A few examples of how to we use it to both calculate Z-Scores and to find scores is I know a Z-Score and we can call this video a success.
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These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.