Normal Distribution.

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Presentation transcript:

Normal Distribution

In a normal distribution: 2.35 2.35 .15 .15 In a normal distribution: --68% of the data fall within one SD of the mean --95% of the data fall within two SD of the mean --99.7% of the data fall within three SD of the mean

For a population of male European eels, the mean body length is 15 For a population of male European eels, the mean body length is 15.7 in. The standard deviation is 2.8 in. Sketch a normal curve showing eel lengths at one, two, and three standard deviations from the mean. Sketch a Normal Curve

Analyzing a Normal Distribution The heights of adult American males are approximately normally distributed with mean 69.5 in and SD 2.5 in. What % are between 67 in and 74.5 in tall? Given a group of 2000 males, about how many would you expect to be taller than 6 ft? Analyzing a Normal Distribution

The scores on the Algebra II final are approximately normally distributed with a mean of 150 and SD of 15. What % of students scored above 180? What % of students scored below 135? What % of students scored between 120 and 165? If 250 students took the test, how many scored above 135? Practice