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What's normal any more?! Well ... something which is normal and has always been is the Standard Normal Distribution! Nothing like a cheesy pun to start things off. This video takes a look at what the Normal Distribution is. It starts by looking at the standard normal distribution and then, using lots of transformations (Dilations and Translations) looks at how we can map data with different means and standard deviations back to the Standard Normal Distribution The video finishes with a look at a possible exam question which uses the highest point of a normal distribution to help us find the mean and standard deviation of the data which created the curve, More Normal in one day than anyone could cope with!
I think I might have taken a bit of a liberty ... or creative license here with calling the 68-95-99.7% rule the MaffsGuru rule, but please bear with me! Saying 68-95-99.7% Rule is rather long winded don't you think! So ... It's time for a change. This video takes a look at how to use the Normal Curve to standardise scores. Yes! It's time we look at what Z-Scores are and how we can use them to compare data. The video looks at where the Z Score formula comes from and how to use it to Standardise Scores. It uses examples of test scores in a school and shows how to use the Z Scores to compare to see who was doing better. There are great exam tips in the video too - like ensuring that you always draw a normal distribution when answering questions. As is normal, there is also a smattering of bad puns and cheesy jokes to keep the lesson going. There are also a number of worked examples to show how all the theory ties together.
I have spent a lot of time showing you the theory behind the normal distribution and so I think it's been a good idea to stop and solve problems with the normal distribution. This video takes a look at the most common types of problems which are encountered with the normal distribution with a step by step breakdown of the theory which applies and the processes needed to solve the question.
This video draws the lessons on the normal distribution to a close. I take a look at how, for large values of n, we can use the normal distribution to approximate the binomial distribution. I open by recapping the work we have done with the Binomial Distribution and how, for high values of n we can see the curve of the Binomial Distribution and Normal Distribution are almost identical. There are a number of examples to show how we can use the theory.
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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.