Curriculum / Math / 11th Grade / Unit 8: Probability and Statistical Inference / Lesson 7
Math
Unit 8
11th Grade
Lesson 7 of 13
Jump To
Lesson Notes
There was an error generating your document. Please refresh the page and try again.
Generating your document. This may take a few seconds.
Are you sure you want to delete this note? This action cannot be undone.
Describe the center, shape, and spread of distributions by reasoning visually about the mean, standard deviation, and shape of a histogram.
The core standards covered in this lesson
S.IC.A.1 — Understand statistics as a process for making inferences about population parameters based on a random sample from that population.
The foundational standards covered in this lesson
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.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Part A: Predict the shape of the graph at 2,000 trials.
Part B: At 1,799 trials, the graph looks like this:
The mean of the data is approximately 6, and the standard deviation is 1.7. The blue lines around the graph are what should be the "ideal" normal distribution.
Describe what the mean and the standard deviation mean in terms of this situation.
PhET Interactive Simulations University of Colorado Boulder https://phet.colorado.edu
Match the following distributions with the histograms. Explain your reasoning.
Algebra II > Module 4 > Topic B > Lesson 8 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
A local utility company wanted to gather data on the age of air conditioners that people have in their homes. The company took a random sample of 200 residents of a large city and asked if the residents had an air conditioner and, if they did, how old it was. Below is the distribution in the reported ages of the air conditioners.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
Next
Derive and calculate population percentages based on a normal distribution of data.
Topic A: Probability
Determine probabilities of mutually exclusive events.
Standards
S.CP.A.1
Determine probabilities of events that are not mutually exclusive.
S.CP.A.1S.CP.B.6S.CP.B.7
Calculate conditional probabilities.
S.CP.A.3
Determine when events are independent and describe independent events using everday language.
S.CP.A.2S.CP.A.3S.CP.A.5
Calculate relative frequencies in two-way tables to analyze data and determine independence.
S.CP.A.4
Use conditional probability to make decisions about medical testing.
S.CP.A.2S.CP.A.3
Create a free account to access thousands of lesson plans.
Already have an account? Sign In
Topic B: The Normal Distribution
S.IC.A.1
S.IC.A.2S.IC.B.4
Use $${z-}$$scores to identify population percentiles.
S.IC.B.4
Topic C: Statistical Inferences and Conclusions
Describe and compare statistical study methods.
S.IC.B.3S.IC.B.6
Use multiple random samples to estimate a population mean or proportion and verify the validity of the sampling method by analyzing the means and standard errors of samples.
Calculate and describe the margin of error in context and use larger sample sizes to minimize the margin of error.
Compare two treatments in experimental data and determine if the difference between the two treatments is significant.
S.IC.B.5
See all of the features of Fishtank in action and begin the conversation about adoption.
Learn more about Fishtank Learning School Adoption.
We've got you covered with rigorous, relevant, and adaptable math lesson plans for free