Sample Item What is the sample space of flipping a coin and rolling a die? Answer: {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6} Reporting Category Statistics and Probability Standard Conditional Probability & the Rules of Probability Benchmark Number MAFS.912.S-CP.1.2 Benchmark Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent. Also Assesses MAFS.K12.MP.2.1 Item Types Selected Response (Multiple Choice), Short Answer Benchmark Clarification Students will determine probable outcomes of events using the multiplication rule. Content Limits Limit to real world contexts and age appropriate situations. Stimulus Attributes Test items may include illustrations of the following: tables, lists, tree diagrams, and other forms. Response Attributes Responses may be in decimal or reduced fraction form.
Defining A1 = hits Florida A2 = misses Florida B = has rating of 5 Then P(A1)P(B│A1) P(A1│B) = ----------------------------------------- P(A1)P(B│A1) + P(A2)P(B│A2) (.32)(.005/.32) P(A1│B) = ----------------------------------------- = 0.333 (.32)(.005/.32) + (.68)(.01/.68) Or P(A1│B) = (.005/.015) = 0.333 Answer: The probability that a hurricane hits Florida given that it has a category 5 rating is 0.333 Reporting Category Statistics and Probability Standard Conditional Probability & the Rules of Probability Benchmark Number MAFS.912.S-CP.2.9 Benchmark Use permutations and combinations to compute probabilities of compound events and solve problems. Also Assesses MAFS.K12.MP.1.1 MAFS.K12.MP.8.1 Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer
3.75 3.64 3.78 3.73 3.64 What is the median of the GPAs? A. 3.7 B. 3.73 C. 3.74 D. 3.75 Answer: B Reporting Category Statistics and Probability Standard Making Inferences & Justifying Conclusions Benchmark Number MAFS.912.S-IC.2.3 Benchmark Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. Also Assesses MAFS.K12.MP.3.1 Item Types Selected Response (Multiple Choice) Benchmark Clarification Students will use and compare surveys, experiments, and observational studies and decide which questions each is designed to answer. Student will use qualitative and quantitative measures to collect data. Students will choose the type of sampling from a variety of situations as well as understand the reasoning behind random sampling. Students will identify sources of bias, including sampling and non-sampling errors. Content Limits Items may include research questions from surveys, observational studies, or experiments. Items may include sampling methods such as simple random, systematic, stratified, or cluster. Stimulus Attributes Items must be set in real-world context.
Item Types Selected Response (Multiple Choice), Gridded Response, Short Answer Benchmark Clarification Students will identify outliers, the possible reasons for them and what effect they have on the mean, median, mode and range of data. Content Limits Items may include identifying outliers from a set of data in a graph such as a histogram or box-and-whisker plot. Items may also include what effect adding a higher or lower value have on a particular mean, median, mode or range. Stimulus Attributes Items must be set in real-world context. Response Attributes Answers will include numerical outliers, reasons for outliers, or effect of specific outlier on mean, median, mode or range of data. Sample Item Summer income for 14 high school students is listed below: 1,208 2,400 1,337 3,020 1,055 456 810 1,765 1,208 987 2,343 1,654 734 1,356 Which of these statements is true? 456 is an outlier. B. 3020 is an outlier. C. 456 and 3020 are outliers. D. There are no outliers. Answer: B Reporting Category Statistics and Probability Standard Interpreting Categorical & Quantitative Data Benchmark Number MAFS.912.S-ID.1.4 Benchmark 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. Also Assesses MAFS.K12.MP.6.1