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## Data Analysis and Probability Standard for Grades 3-5

 Expectations
 Instructional programs from prekindergarten through grade 12 should enable all students to— In grades 3–5 all students should— Formulate questions that can be addressed with data and collect, organize, and display relevant data to answer them design investigations to address a question and consider how data-collection methods affect the nature of the data set; collect data using observations, surveys, and experiments; represent data using tables and graphs such as line plots, bar graphs, and line graphs; recognize the differences in representing categorical and numerical data. Select and use appropriate statistical methods to analyze data describe the shape and important features of a set of data and compare related data sets, with an emphasis on how the data are distributed; use measures of center, focusing on the median, and understand what each does and does not indicate about the data set; compare different representations of the same data and evaluate how well each representation shows important aspects of the data. Develop and evaluate inferences and predictions that are based on data propose and justify conclusions and predictions that are based on data and design studies to further investigate the conclusions or predictions. Understand and apply basic concepts of probability describe events as likely or unlikely and discuss the degree of likelihood using such words as certain, equally likely, and impossible;  predict the probability of outcomes of simple experiments and test the predictions; understand that the measure of the likelihood of an event can be represented by a number from 0 to 1.