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z score calculator

z score is a number used to measure position in a normal distribution You use this simulator to review this concept. Below is an "original distribution" of IQ scores with a mean of 100 and a standard deviation of 10. Next to it is the "standard normal distribution"

In the above distribution, keep the mean at 100 and the standard deviation at 10. Move the green point to 120. What is the z score?

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In the above distribution, keep the mean at 100 and the standard deviation at 10. Move the green point to 80. What is the z score?

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In the above distribution, keep the mean at 100 and the standard deviation at 10. Move the green point to 100. What is the z score?

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Describe how the z score is calculated.

If you are given a normal distribution with mean 50 and standard deviation of 15. How standard deviations above the mean is 80? (---how many times can you add 15 to 50 to get 80?)

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If the mean is 50 and the standard deviation is 15, calculate the z score of 80.

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Look at the standard normal distribution. What is the x value of the point?

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The probability below the Z score is shown in each distribution. Comparing the probability below the original point and the probability below the standard normal distribution, how are they related?

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Get out your TI 84. Find InvNorm using mean = 0, std = 1 and area = 0.98

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Now move the distributions to get an area of 0.98. What is the z score?

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