L.O. Use the standard normal distribution HeightFrequency 140-1451 145-1502 150-1555 155-1606 160-1658 165-1707 170-1754 175-1803 What do you notice? What´s.

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Presentation transcript:

L.O. Use the standard normal distribution HeightFrequency What do you notice? What´s the problem with this chart?

L.O. Use the standard normal distribution HeightFrequency

L.O. Use the standard normal distribution HeightFrequency

L.O. Use the standard normal distribution HeightFrequency mean 162

L.O. Use the standard normal distribution mean 162 Which area of the graph represents the people less than 162cm?

L.O. Use the standard normal distribution mean 150 Which area of the graph represents the people less than 150cm? How could we use that to find the people more than 150cm?

L.O. Use the standard normal distribution There is a standard normal distribution, such that the mean = 0 and the standard deviation = 1. 0 We can convert any other distribution to the standard one. For now, we´ll practise using the standard normal distribution, which we call ´Z´

L.O. Use the standard normal distribution Formula for P(Z < x) Again, life is too short. We look up values in a table.

L.O. Use the standard normal distribution

e.g. find P(Z 1.2) 0 0

L.O. Use the standard normal distribution e.g. find P(Z 1.2) 0 0

L.O. Use the standard normal distribution e.g. find P(Z -1.2) 0 0