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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 the problem with this chart?

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L.O. Use the standard normal distribution HeightFrequency 140-1451 145-1502 150-1555 155-1606 160-1658 165-1707 170-1754 175-1803

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L.O. Use the standard normal distribution HeightFrequency 140-1451 145-1502 150-1555 155-1606 160-1658 165-1707 170-1754 175-1803

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L.O. Use the standard normal distribution HeightFrequency 140-1451 145-1502 150-1555 155-1606 160-1658 165-1707 170-1754 175-1803 mean 162

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

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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?

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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´

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

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L.O. Use the standard normal distribution

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

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

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

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