Normal Distribution and Bell Curve in Statistics
Explore the concept of normal distribution and bell curve through various examples, including analyzing data for different populations and calculating percentages within standard deviations. Learn how to sketch normal curves and analyze data sets efficiently.
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Presentation Transcript
Normal Distribution and bell curve
Normal Distribution Ex. 1: Analyzing Normally Distributed Data
Normal Distribution Use the same bar graph. b) Approximately what percent of female brown bears weigh less than 120kg? c) The standard deviation in the weights of female brown bears is about 10 kg. Approximately what percent of female brown bears have weights that are within 1.5 standard deviations of the mean?
Normal Distribution Ex. 2- Sketching a Normal Curve a) For a population of male European eels, the mean body length is 15.7 in, +1 standard deviation is 18.5, and -1 standard deviation is 12.9. Sketch a normal curve for the data.
Normal Distribution b) For a population of female European eels, the mean body length is 21.1 in. The standard deviation is 4.7. Sketch the normal distribution.
Normal Distribution Ex. 3- Analyzing a Normal Distribution. a) The heights of adult American males are approximately normally distributed with mean of 69.5 in. and standard deviation of 2.5 in. What percent of adult American males are between 67 in. and 74.5 in?
Normal Distribution b) Using the same data,in a group of 2000, how many adult American males would you expect to be taller than 72 in?
Normal Distribution c) The scores on the Algebra II final are approximately normally distributed with a mean of 150 and a standard deviation of 15. What percentage scored above 180?
Normal Distribution d) Using the Algebra II data, if 250 students took the final, approximately how many scored above 135?
11.9 Normal Distribution pg 737 (7-17, 23-28)
