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3-1 Lines and Angles Paper for notes Pearson 11.10 Graphing Calc. Holt Geometry 3-1 Lines and Angles TOPIC: Name: Daisy Basset Date : Period: 11.10 Normal Distributions Objective: Holt Geometry Notes Use the mean and standard deviation of data set and fit it to a normal distribution. 3-1 Lines and Angles Vocabulary Discrete Probability Distribution Continuous Probability Distribution Normal Distribution Holt Geometry 3-1 Lines and Angles Notes 11.10 Graphing Calc. Holt Geometry 1. The bar graph gives the weights of a population of female brown bears. 3-1 Lines and Angles Holt Geometry 3-1 Lines and Angles The red curve, shows the weights are normally distributed about the mean, 115 kg. Holt Geometry 3-1 Lines and Angles Approximately what percent of female brown bears weigh between 100 and 129 kg? Holt Geometry 3-1 Lines and Angles The percents for each bar are based on the same sample population of bears. You can add the percents. Holt Geometry 3-1 Lines and Angles (100–109) + (110–119) + (120–129) 23 + 42 + 23 = 88 Holt Geometry 3-1 Lines and Angles About ____ 88% of the female brown bears weigh between 100 and 129 kg. Holt Geometry 3-1 Lines and Angles 2. For a population of male European eels, the mean body length and 1 positive and negative standard deviation is shown. Holt Geometry Sketch a normal curve showing the eel lengths at one, two, and three standard deviations from the mean. 3-1 Lines and Angles Holt Geometry 3-1 Lines and Angles Measure Mean +1 -1 Holt Geometry Length (in.) 15.7 18.5 12.9 = 18.5 - 15.7 = 2.8 Lines and Angles Length (in.) 3-1Measure Mean +1 -1 +2 -2 +3 -3 Holt Geometry 15.7 15.7 15.7 15.7 + + - 2(2.8) 2(2.8) 3(2.8) 3(2.8) 15.7 18.5 12.9 = 21.3 = 10.1 = 24.1 = 7.3 3-1 Lines and Angles Holt Geometry 3-1 Lines and Angles 3. The heights of adult American males are approximately normally distributed with mean 69.5 in. and standard deviation 2.5 in. Holt Geometry A. What percent of adult American males are between 67 in. and 74.5 in. tall? 3-1 Lines and Angles Holt Geometry 3-1 Lines and Angles 34% + 34% + 13.5% = 0.34 + 0.34 + 0.135 Holt Geometry 3-1 Lines and Angles 81.5% of About _____ the adult American males are between 67 in. and 74.5 in. tall. Holt Geometry B. In a group of 2000 adult American males, about how many would you expect to be taller than 6 ft. (72 in.)? 3-1 Lines and Angles Holt Geometry 3-1 Lines and Angles 13.5% + 2.35% = 0.135 + 0.0235 Holt Geometry = 0.1585 3-1 Lines and Angles You would expect about 317 0.1585 2000 = ___ of the adult American males to be taller than 6 ft. Holt Geometry 3-1 Lines and Angles Summary D L I Q Holt Geometry Summarize/reflect What did I do? What did I learn? What did I find most interesting? What questions do I still have? What do I need clarified? 3-1 Lines and Angles Hmwk 11.7 B: Math XL Work on the Study Plan Test on Block day Holt Geometry