Download A2.S.ID.4.05.29.12

A2.S.ID.4
2011
Domain: Interpreting Categorical and Quantitative Data
Cluster: Summarize, represent, and interpret data on a single count or measurement variable
Standards: 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.
Essential Questions
How do we interpret
probability distributions?
Why do we study
probability distributions?
Enduring Understandings
Area under a normal curve can
be interpreted either as a
percentage of the data values in
the distribution or as a
probability.
Content Statements
Understand probabilities to
make and analyze fair
decisions.
Analyze surveys,
experiments, and
observations studies to
judge the validity of the
conclusion.
Assessments
Scores on a qualifying exam are normally distributed with a
mean score of 230 and a standard deviation of 43. A score of
250 is required to pass,
 Find and display the area under the normal curve for
passing scores.
 Find and display the area under the normal curve for
scores 200 to 250.
Activities, Investigation, and Student Experiences
Activity
 Collect class scores and calculate mean and standard
deviation
 Graph data using a spreadsheet
 Compare data and use to predict future results
A2.S.ID.4
Equipment Needed:
Graphing Calculator
Internet Access
SMART Board
Teacher Resources:
Holt Mcdougal, Algebra 2 (2012)
2011