| Middle School Probability Statistics Item Specification Chart | |||||||
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S | T | A | Type I | Type II | Type III | Type IV | |
1. Data Analysis | |||||||
a. analyze/interpret graphs and plots | 7 | 5 | 12 | 5. Read information from stem-and-leaf plot. | 8. Identify a graph/plot that best represents a set of data. | 13. Analyze and compare two box-and-whiskers plots. | 16. Identify and correct error in making circle graphs. |
b. collect/organize | 7 | 5 | 12 | ||||
i. compare two populations | 4 | 3 | 7 | ||||
c. draw conclusion/make inferences | 6 | 5 | 11 |
| 9. Identify line of best fit and make prediction of scatterplot. |
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j. use scatterplots for lines of fit | 2 | 2 | 4 | ||||
d. make conjectures about populations based on samples | 5 | 5 | 10 |
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| 11. Solve problem involving samples to predict populations | 17. Correct error in creating a biased sample. |
e. sampling | 4 | 3 | 7 | ||||
f. formulate questions | 6 | 4 | 10 |
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g. use measures of central tendency and variance | 5 | 4 | 9 | 1. Find median of a set of data. | 7. Create a data set given mean, median, and mode. |
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h. misuses of statistics | 6 | 2 | 8 |
| 14. Choose a graph that convinces best. |
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k. understand correlation vs. causation | 2 | 1 | 3 |
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l. distributions of data | 0 | 1 | 1 |
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m. confidence interveals/error | 0 | 1 | 1 |
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2. Probability | |||||||
a. determine simple/ compound probabilities using informal methods | 7 | 5 | 12 | 2. Determine probability of certain, impossible, and equally likely events. 3. Determine probability of simple event | 10. Determine true or false statements about the experimental and theoretical probability of the same event. | 15.Determine the probability of a compound event. | 18. Describe an activity that shows difference between theoretical/experimental probabilities. 19. Correct error in generating sample space. |
d. sample space | 6 | 3 | 9 | ||||
g. empirical/theoretical probabilities | 5 | 4 | 9 | ||||
h. compute probabilities based on simulations/ exper. | 5 | 3 | 8 | ||||
i. describe/conduct simulations | 5 | 3 | 8 | ||||
b. independent and dependent events | 7 | 4 | 11 |
| 6. Determine probability of dependent events. |
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c. mutually exclusive events | 7 | 4 | 11 |
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| 12. Determine if mutually exclusive events are transitive. |
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e. complementary events | 6 | 4 | 10 | 4. Identify the complement of probability event. |
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f. misconceptions about probability | 6 | 4 | 10 |
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| 20. Correct misconception about the multiplying or adding probabilities. |
j. fair games and expected values | 1 | 2 | 3 |
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k. determine odds | 1 | 1 | 2 |
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l. conditional probability | 0 | 1 | 1 |
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