IA1.DS.B.8: Analyze and interpret the key components of linear and exponential models in the context of the data with and without technology. a. Interpret slope (rate of change) and the intercept (constant term) of a linear model to describe patterns and relationships in the data. b. Analyze the growth factor or average rate of change in exponential models to describe patterns, interpret trends, and make predictions in context.

Analyze and interpret the key components of linear and exponential models in the context of the data with and without technology. a. Interpret slope (rate of change) and the intercept (constant term) of a linear model to describe patterns and relationships in the data. b. Analyze the growth factor or average rate of change in exponential models to describe patterns, interpret trends, and make predictions in context.

Example Problems
Tom took 4 exams. His mean was and his standard deviation was . What scores did Tom receive on his exams?
a. Write two sets of 5 different numbers that have the same mean but different standard deviations.

b. Write two sets of 5 different numbers that have the same standard deviations but different means.
Jim has taken 4 exams in his Statistics class.

ExamScore
192
284
396
4100


Calculate the standard deviation of Jim's scores and explain how this value represents the variability in his test scores.
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