Normal Distributions
aligned to Act As A Responsible And Contributing Community Members And Employee. utilize Critical Thinking To Make Sense Of Problems And Persevere In Solving Them. use Technology To Enhance Productivity Increase Collaboration And Communicate Effectively. Mp.1 Make Sense Of Problems And Persevere In Solving Them mp.2 Reason Abstractly And Quantitatively mp.3 Construct Viable Arguments And Critique The Reasoning Of Others mp.4 Model With Mathematics mp.5 Use Appropriate Tools Strategically mp.6 Attend To Precision mp.7 Look For And Make Use Of Structure mp.8 Look For And Express Regularity In Repeated Reasoning s.id.a.4. Use The Mean And Standard Deviation Of A Data Set To Fit It To A Normal Distribution And To Estimate Population Percentages. Recognize That There Are Data Sets For Which Such A Procedure Is Not Appropriate. Use Calculators, Spreadsheets, And Tables To Estimate Areas Under The Normal Curve. Supporting (algebra 2) s.ic.a.1. (+) Understand Statistics As A Process For Making Inferences About Population Parameters Based On A Random Sample From That Population. s.ic.a.2. (+) Decide If A Specified Model Is Consistent With Results From A Given Data-generating Process, E.g., Using Simulation. s.ic.b.4. (+) Use Data From A Sample Survey To Estimate A Population Mean Or Proportion; Develop A Margin Of Error Through The Use Of Simulation Models For Random Sampling. s.cp.b.7. (+) Apply The Addition Rule, P(a Or B) = P(a)+p(b)-p(a And B), And Interpret The Answer In Terms Of The Model.
Learning Objective
I can find percentages of data and probabilities of events associated with normal distributions.
Lesson Flow
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What is a Normal Distribution?
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Practice
12 questions • Short answer
Exit Ticket
“The heights of students at a high school are normally distributed with a mean of 165 cm and a standard deviation of 10 cm. What is the probability that a randomly selected student is taller than 180 cm? The test scores on a standardized exam are normally distributed with a mean of 500 and a standard deviation of 100. What percentage of students scored between 450 and 600? The lifespan of a certain brand of lightbulb is normally distributed with a mean of 1200 hours and a standard deviation of 75 hours. What is the probability that a randomly selected lightbulb will last less than 1050 hours?”
Teacher Guide
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