Distributions Definition Many sets of data fit what is called a Normal Distribution EG Examples when the Normal distribution arises Looking at the national averages for NCEA When measuring heights weights arm spans hand spans ID: 428176
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Slide1
NormalDistributionsSlide2
Definition
Many sets of data fit what is called a Normal Distribution: EG
Slide3
Examples when the Normal distribution arises
Looking at the national averages for NCEA.
When measuring heights, weights, arm spans, hand spans
ect
.Golf scores100 meter sprint timeCO2 produced by treesRainfall in Auckland over a monthCall of duty score
Number of points in a game of rugby, soccer
ect
.Slide4
Parameters needed
The standard deviation,
σ
.The mean,
μ.Show normal distribution graph on excel.Slide5
Twig ExampleSlide6
Twig Example
What is the mean?
What is the standard deviation?
What is the probability that a randomly selected twig is greater than 28cm? What is the probability that a randomly selected twig is
less than the mean? Slide7
Other Questions
What is the probability that a randomly selected twig is less than 38cm?
What is the probability that a randomly selected twig is between 18 and 38cm?
What is the probability that a randomly selected twig is over 38cm? 16% Slide8
Linking the Normal Distribution with making predictions…
When something is measured, the Normal Distribution is normal.
The STANDARD Normal distribution table are the probabilities for a data set with a mean of 0 and a standard deviation of 1.Slide9
Practice
Page 159 and 160 of the homework book.
OR page 358 of the text book