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| Select the code below that correlates to the desired Indicator. | |
| Grade Level: | Pre-Kindergarten |
| Data Collection / | 01. | Gather, sort and compare objects by similarities and differences in the context of daily activities and play. |
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| Data Collection / | 02. | Place information or objects in a floor or table graph according to one attribute (e.g., size, color, shape or quantity). |
| | Statistical Methods / | 03. | Select the category or categories that have the most or fewest objects in a floor or table graph. |
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| Data Collection / | 01. | Gather and sort data in response to questions posed by teacher and students; e.g., how many sisters and brothers, what color shoes. |
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| Data Collection / | 02. | Arrange objects in a floor or table graph according to attributes, such as use, size, color, or shape. |
| | Statistical Methods / | 03. | Select the category or categories that have the most or fewest objects in a floor or table graph. |
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| Data Collection /| 01. | Identify multiple categories for sorting data. |
| | Data Collection /| 02. | Collect and organize data into charts using tally marks. |
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| Data Collection /| 03. | Display data in picture graphs with units of 1 and bar graphs with intervals of 1. |
| | Data Collection /| 04. | Read and interpret charts, picture graphs and bar graphs as sources of information to identify main ideas, draw conclusions, and make predictions. |
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| Data Collection /| 05. | Construct a question that can be answered by using information from a graph. |
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| Statistical Methods /| 06. | Arrange five objects by an attribute, such as size or weight, and identify the ordinal position of each object. |
| | Statistical Methods /| 07. | Answer questions about the number of objects represented in a picture graph, bar graph or table graph; e.g., category with most, how many more in a category compared to another, how many altogether in two categories. |
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| Probability /| 08. | Describe the likelihood of simple events as possible/impossible and more likely/less likely; e.g., when using spinners or number cubes in classroom activities. |
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| Data Collection /| 01. | Pose questions, use observations, interviews and surveys to collect data, and organize data in charts, picture graphs and bar graphs. |
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| Data Collection /| 01. | Pose questions, use observations, interviews and surveys to collect data, and organize data in charts, picture graphs and bar graphs. |
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| Data Collection /| 02. | Read, interpret and make comparisons and predictions from data represented in charts, line plots, picture graphs and bar graphs. |
| | Data Collection /| 03. | Read and construct simple timelines to sequence events. |
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| Statistical Methods /| 04. | Write a few sentences to describe and compare categories of data represented in a chart or graph, and make statements about the data as a whole. |
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| Statistical Methods /| 05. | Identify untrue or inappropriate statements about a given set of data. |
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| Statistical Methods /| 06. | Recognize that data may vary from one population to another; e.g., favorite TV shows of students and of parents. |
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| Probability /| 07. | List some of the possible outcomes of a simple experiment, and predict whether given outcomes are more, less or equally likely to occur. |
| | Probability /| 08. | Use physical models and pictures to represent possible arrangements of 2 or 3 objects. |
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| Data Collection /| 01. | Collect and organize data from an experiment, such as recording and classifying observations or measurements, in response to a question posed. |
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| Data Collection /| 02. | Draw and interpret picture graphs in which a symbol or picture represents more than one object. |
| | Data Collection /| 03. | Read, interpret and construct bar graphs with intervals greater than one. |
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| Data Collection /| 04. | Support a conclusion or prediction orally and in writing, using information in a table or graph. |
| | Data Collection /| 05. | Match a set of data with a graphical representation of the data. |
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| Data Collection /| 06. | Translate information freely among charts, tables, line plots, picture graphs and bar graphs; e.g., create a bar graph from the information in a chart. |
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| Data Collection /| 07. | Analyze and interpret information represented on a timeline. |
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| Statistical Methods /| 08. | Identify the mode of a data set and describe the information it gives about a data set. |
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| Probability /| 09. | Conduct a simple experiment or simulation of a simple event, record the results in a chart, table or graph, and use the results to draw conclusions about the likelihood of possible outcomes. |
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| Probability /| 10. | Use physical models, pictures, diagrams and lists to solve problems involving possible arrangements or combinations of two to four objects. |
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| Data Collection /| 01. | Create a plan for collecting data for a specific purpose. |
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| Data Collection /| 02. | Represent and interpret data using tables, bar graphs, line plots and line graphs. |
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| Data Collection /| 02. | Represent and interpret data using tables, bar graphs, line plots and line graphs. |
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| Data Collection /| 03. | Interpret and construct Venn diagrams to sort and describe data. |
| | Data Collection /| 04. | Compare different representations of the same data to evaluate how well each representation shows important aspects of the data, and identify appropriate ways to display the data. |
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| Data Collection /| 05. | Propose and explain interpretations and predictions based on data displayed in tables, charts and graphs. |
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| Statistical Methods /| 06. | Describe the characteristics of a set of data based on a graphical representation, such as range of the data, clumps of data, and holes in the data. |
| | Statistical Methods /| 07. | Identify the median of a set of data and describe what it indicates about the data. |
| | Statistical Methods /| 08. | Use range, median and mode to make comparisons among related sets of data. |
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| Probability /| 09. | Conduct simple probability experiments and draw conclusions from the results; e.g., rolling number cubes or drawing marbles from a bag. |
| | Probability /| 10. | Represent the likelihood of possible outcomes for chance situations; e.g., probability of selecting a red marble from a bag containing 3 red and 5 white marbles. |
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| Probability /| 10. | Represent the likelihood of possible outcomes for chance situations; e.g., probability of selecting a red marble from a bag containing 3 red and 5 white marbles. |
| | Probability /| 11. | Relate the concepts of impossible and certain-to-happen events to the numerical values of 0 (impossible) and 1 (certain). |
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| Probability /| 11. | Relate the concepts of impossible and certain-to-happen events to the numerical values of 0 (impossible) and 1 (certain). |
| | Probability /| 12. | Place events in order of likelihood and use a diagram or appropriate language to compare the chance of each event occurring; e.g. impossible, unlikely, equal, likely, certain. |
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| Probability /| 13. | List and count all possible combinations using one member from each of several sets, each containing 2 or 3 members; e.g., the number of possible outfits from 3 shirts, 2 shorts and 2 pair of shoes. |
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| Data Collection /| 01. | Read, construct and interpret frequency tables, circle graphs and line graphs. |
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| Data Collection /| 02. | Select and use a graph that is appropriate for the type of data to be displayed; e.g., numerical vs. categorical data, discrete vs. continuous data. |
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| Data Collection /| 03. | Read and interpret increasingly complex displays of data, such as double bar graphs. |
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| Data Collection /| 04. | Determine appropriate data to be collected to answer questions posed by students or teacher, collect and display data, and clearly communicate findings. |
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| Data Collection /| 05. | Modify initial conclusions, propose and justify new interpretations and predictions as additional data are collected. |
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| Statistical Methods /| 06. | Determine and use the range, mean, median and mode, and explain what each does and does not indicate about the set of data. |
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| Probability /| 07. | List and explain all possible outcomes in a given situation. |
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| Probability /| 08. | Identify the probability of events within a simple experiment, such as three chances out of eight. |
| | Probability /| 09. | Use 0,1 and ratios between 0 and 1 to represent the probability of outcomes for an event, and associate the ratio with the likelihood of the outcome. |
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| Probability /| 10. | Compare what should happen (theoretical/expected results) with what did happen (experimental/actual results) in a simple experiment. |
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| Probability /| 11. | Make predictions based on experimental and theoretical probabilities. |
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| Data Collection /| 01. | Read, construct and interpret line graphs, circle graphs and histograms. |
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| Data Collection /| 02. | Select, create and use graphical representations that are appropriate for the type of data collected. |
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| Data Collection /| 03. | Compare representations of the same data in different types of graphs, such as a bar graph and circle graph. |
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| Statistical Methods /| 04. | Understand the different information provided by measures of center (mean, mode and median) and measures of spread (range). |
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| Statistical Methods /| 05. | Describe the frequency distribution of a set of data, as shown in a histogram or frequency table, by general appearance or shape; e.g., number of modes, middle of data, level of symmetry, outliers. |
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| Statistical Methods /| 06. | Make logical inferences from statistical data. |
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| Probability /| 07. | Design an experiment to test a theoretical probability and explain how the results may vary. |
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| Data Collection /| 01. | Read, create and interpret box-and-whisker plots, stem-and-leaf plots, and other types of graphs, when appropriate. |
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| Data Collection /| 02. | Analyze how decisions about graphing affect the graphical representation; e.g., scale, size of classes in a histogram, number of categories in a circle graph. |
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| Data Collection /| 02. | Analyze how decisions about graphing affect the graphical representation; e.g., scale, size of classes in a histogram, number of categories in a circle graph. |
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| Statistical Methods /| 03. | Analyze a set of data by using and comparing combinations of measures of center (mean, mode, median) and measures of spread (range, quartile, interquartile range), and describe how the inclusion or exclusion of outliers affects those measures. |
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| Statistical Methods /| 04. | Construct opposing arguments based on analysis of the same data, using different graphical representations. |
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| Statistical Methods /| 05. | Compare data from two or more samples to determine how sample selection can influence results. |
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| Statistical Methods /| 06. | Identify misuses of statistical data in articles, advertisements, and other media. |
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| Probability /| 07. | Compute probabilities of compound events; e.g., multiple coin tosses or multiple rolls of number cubes, using such methods as organized lists, tree diagrams and area models. |
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| Probability /| 08. | Make predictions based on theoretical probabilities, design and conduct an experiment to test the predictions, compare actual results to predicted results, and explain differences. |
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| Data Collection /| 01. | Use, create and interpret scatterplots and other types of graphs as appropriate. |
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| Data Collection /| 02. | Evaluate different graphical representations of the same data to determine which is the most appropriate representation for an identified purpose; e.g., line graph for change over time, circle graph for part-to-whole comparison, scatterplot for relationship between two variants. |
| | Data Collection /| 03. | Differentiate between discrete and continuous data and appropriate ways to represent each. |
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| Statistical Methods /| 04. | Compare two sets of data using measures of center (mean, mode, median) and measures of spread (range, quartiles, interquartile range, percentiles). |
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| Statistical Methods /| 05. | Explain the mean's sensitivity to extremes and its use in comparison with the median and mode. |
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| Statistical Methods /| 06. | Make conjectures about possible relationship in a scatterplot and approximate line of best fit. |
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| Statistical Methods /| 07. | Identify different ways of selecting samples, such as survey response, random sample, representative sample and convenience sample. |
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| Statistical Methods /| 08. | Describe how the relative size of a sample compared to the target population affects the validity of predictions. |
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| Statistical Methods /| 09. | Construct convincing arguments based on analysis of data and interpretation of graphs. |
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| Probability /| 10. | Calculate the number of possible outcomes for a situation, recognizing and accounting for when items may occur more than once or when order is important. |
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| Probability /| 11. | Demonstrate an understanding that the probability of either of two disjoint events occurring can be found by adding the probabilities for each and that the probability of one independent event following another can be found by multiplying the probabilities. |
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| Data Collection /| 01. | Classify data as univariate (single variable) or bivariate (two variables) and as quantitative (measurement) or qualitative (categorical) data. |
| | Data Collection /| 02. | Create a scatterplot for a set of bivariate data, sketch the line of best fit, and interpret the slope of the line of best fit. |
| | Statistical Methods /| 03. | Analyze and interpret frequency distributions based on spread, symmetry, skewness, clusters and outliers. |
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| Statistical Methods /| 04. | Describe and compare various types of studies (survey, observation, experiment), and identify possible misuses of statistical data. |
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| Statistical Methods /| 05. | Describe characteristics and limitations of sampling methods, and analyze the effects of random versus biased sampling; e.g., determine and justify whether the sample is likely to be representative of the population. |
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| Statistical Methods /| 06. | Make inferences about relationships in bivariate data, and recognize the difference between evidence of relationship (correlation) and causation. |
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| Probability /| 07. | Use counting techniques and the Fundamental Counting principle to determine the total number of possible outcomes for mathematical situations. |
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| Probability /| 08. | Describe, create and analyze a sample space and use it to calculate probability. |
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| Probability /| 09. | Identify situations involving independent and dependent events, and explain differences between, and common misconceptions about probabilities associated with those events. |
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| Probability /| 10. | Use theoretical and experimental probability, including simulations or random numbers, to estimate probabilities and to solve problems dealing with uncertainty; e.g., compound events, independent events, simple dependent events. |
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| Data Collection /| 01. | Describe measures of center and the range verbally, graphically and algebraically. |
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| Data Collection /| 02. | Represent and analyze bivariate data using appropriate graphical displays (scatterplots, parallel box-and-whisker plots, histograms with more than one set of data, tables, charts, spreadsheets) with and without technology. |
| | Data Collection /| 03. | Display bivariate data where at least one variable is categorical. |
| | Data Collection /| 04. | Identify outliers on a data display; e.g., use the interquartile range to identify outliers on a box-and-whisker plot. |
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| Statistical Methods /| 05. | Provide examples and explain how a statistic may or may not be an attribute of the entire population; e.g., intentional or unintentional bias may be present. |
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| Statistical Methods /| 06. | Interpret the relationship between two variables using multiple graphical displays and statistical measures; e.g., scatterplots, parallel box-and-whisker plots, and measures of center and spread. |
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| Statistical Methods /| 06. | Interpret the relationship between two variables using multiple graphical displays and statistical measures; e.g., scatterplots, parallel box-and-whisker plots, and measures of center and spread. |
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| Probability /| 07. | Model problems dealing with uncertainty with area models (geometric probability). |
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| Probability /| 08. | Differentiate and explain the relationship between the probability of an event and the odds of an event, and compute one given the other. |
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| Data Collection /| 01. | Design a statistical experiment, survey or study for a problem; collect data for the problem; and interpret the data with appropriate graphical displays, descriptive statistics, concepts of variability, causation, correlation and standard deviation. |
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| Data Collection /| 01. | Design a statistical experiment, survey or study for a problem; collect data for the problem; and interpret the data with appropriate graphical displays, descriptive statistics, concepts of variability, causation, correlation and standard deviation. |
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| Data Collection /| 02. | Describe the role of randomization in a well-designed study, especially as compared to a convenience sample, and the generalization of results from each. |
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| Data Collection /| 02. | Describe the role of randomization in a well-designed study, especially as compared to a convenience sample, and the generalization of results from each. |
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| Statistical Methods /| 03. | Describe how a linear transformation of univariate data affects range, mean, mode, and median. |
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| Statistical Methods /| 04. | Create a scatterplot of bivariate data, identify trends, and find a function to model the data. |
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| Statistical Methods /| 05. | Use technology to find the Least Squares Regression Line, the regression coefficient, and the correlation coefficient for bivariate data with a linear trend, and interpret each of these statistics in the context of the problem situation. |
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| Statistical Methods /| 05. | Use technology to find the Least Squares Regression Line, the regression coefficient, and the correlation coefficient for bivariate data with a linear trend, and interpret each of these statistics in the context of the problem situation. |
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| Statistical Methods /| 06. | Use technology to compute the standard deviation for a set of data, and interpret standard deviation in relation to the context or problem situation. |
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| Statistical Methods /| 07. | Describe the standard normal curve and its general properties, and answer questions dealing with data assumed to be normal. |
| | Statistical Methods /| 08. | Analyze and interpret univariate and bivariate data to identify patterns, note trends, draw conclusions, and make predictions. |
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| Statistical Methods /| 08. | Analyze and interpret univariate and bivariate data to identify patterns, note trends, draw conclusions, and make predictions. |
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| Statistical Analysis /| 09. | Evaluate validity of results of a study based on characteristics of the study design, including sampling method, summary statistics and data analysis techniques. |
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| Statistical Methods /| 09. | Evaluate validity of results of a study based on characteristics of the study design, including sampling method, summary statistics and data analysis techniques. |
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| Probability /| 10. | Understand and use the concept of random variable, and compute and interpret the expected value for a random variable in simple cases. |
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| Probability /| 11. | Examine statements and decisions involving risk; e.g., insurance rates and medical decisions. |
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| Data Collection /| 01. | Identify and use various sampling methods (voluntary response, convenience sample, random sample, stratified random sample, census) in a study. |
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| Statistical Methods /| 02. | Transform bivariate data so it can be modeled by a function; e.g., use logarithms to allow nonlinear relationship to be modeled by linear function. |
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| Statistical Methods /| 03. | Describe the shape and find all summary statistics for a set of univariate data, and describe how a linear transformation affects shape, center and spread. |
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| Statistical Methods /| 04. | Apply the concept of a random variable to generate and interpret probability distributions, including binomial, normal and uniform. |
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| Statistical Methods /| 05. | Use sampling distributions as the basis for informal inference. |
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| Probability /| 06. | Use theoretical or experimental probability, including simulations, to determine probabilities in real-world problem situations involving uncertainty, such as mutually exclusive events, complementary events and conditional probability. |
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| Last Updated on
June 29, 2007 |
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