Normal Distributions
Grade 9•45 minutes•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.
Practice Questions
This lesson includes 12 practice questions to reinforce learning.
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1. Define what a normal distribution is and describe its key characteristics, such as its shape and symmetry.
2. Explain the difference between the mean and the standard deviation in the context of a normal distribution. What does each tell you about the data?
3. Describe a real-world example (different from the video) where a normal distribution might be observed. Explain why you think it would follow a normal distribution.
...and 9 more questions
Educational Video
What is a Normal Distribution?
zedstatistics