Construct and interpret two-way frequency tables to analyze associations between two categorical variables. a. Use the tables to decide if events are independent b. Approximate conditional probabilities and explain their meaning in context, including the relationship between conditional probability and independence.
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.
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.
Calculate the standard deviation of Jim's scores and explain how this value represents the variability in his test scores.
| Exam | Score |
|---|---|
| 1 | 92 |
| 2 | 84 |
| 3 | 96 |
| 4 | 100 |
Calculate the standard deviation of Jim's scores and explain how this value represents the variability in his test scores.
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