Data Analysis
 Kindergarten

#### Core Ideas

• Students collect, organize, display, and interpret data about themselves and their surroundings.
• Collect information from class-generated survey question.
• Represent data using concrete objects, pictures, Venn diagrams, and picture graphs.
• Compare parts of the data and the set of data as a whole to determine what the data shows.

#### Core Ideas

• Students collect, organize, display, and interpret data about themselves and their surroundings.
• Collect information from group-generated survey question.
• Represent data using pictures, bar graphs, tally charts, Venn diagrams, and pictographs.
• Describe parts of the data and the set of data as a whole to determine what the data shows.

#### Core Ideas

• Collect, organize, display, and interpret data about themselves and their surroundings.
• Write a survey question for a given situation.
• Represent and interpret data using pictographs, bar graphs, tally charts, Venn diagrams, and other representations.
• Describe and compare data using qualitative and quantitative measures.
• Represent the same data in more than one way.

Our Pets

#### Core Ideas

• Collect, organize, display, and interpret data about themselves and their surroundings.
• Describe important features of a set of data (maximum, minimum, increasing, decreasing, most, least, and comparison).
• Represent data using tables, line plots, bar graphs, and pictographs.

#### Core Ideas

• Collect, organize, represent, and interpret numerical and categorical data, and clearly communicate their findings. Understand and apply basic concepts of probability.
• Represent data using tables, charts, line plots, and bar graphs.
• Describe the shape and important features of a set of data.
• 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 simple experiments and express the results numerically (e.g. 3 out of 4).

#### Core Ideas

• Display, analyze, compare, and interpret different data sets.
• Compare different sets of data.
• Use measures of center (mean, median, and mode) 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.
• Organize and display data in appropriate graphs and representations (e.g., histograms and line graphs) and explain which types of graphs are appropriate for different kinds of data sets.)

Bar Charts

#### Core Ideas

• Formulate questions that can be addressed with data and collect, organize, analyze, and display relevant data to answer them.
• Formulate questions, design studies, and collect data about a characteristic shared by two populations or different characteristics within one population.
• Select, create, and use appropriate graphical representations of data, including box plots and scatterplots.
• Find, use, and interpret measures of center and spread, including interquartile range.
• Discuss and understand the correspondence between data sets and their graphical representations, especially box plots and scatterplots.
• Make conjectures about possible relationships between two characteristics of a population on the basis of scatterplots of the data, including correlations and approximate lines of fit.

 Course 1 (Algebra)

#### Core Ideas

• Select and use appropriate statistical methods to analyze data and understand and apply basic concepts of probability.
• Understand the relationship between two sets of data (bivariate), display such data in a scatterplot, and describe trends and shape of the plot including correlations (positive, negative, or no) and lines of best fit.
• Make inferences based on the data and evaluate the validity of conclusions drawn.
• Compute and interpret the expected value of random variables in simple cases.
• Understand the concepts of conditional probability and independent events and compute the probability of a compound event.

 Course 2 (Geometry)

#### Core Ideas

• Select and use appropriate statistical methods to analyze data and understand and apply concepts of probability.
• Find, use, and interpret measures of center and spread, including standard deviation.
• For bivariate measurement data, be able to display a scatterplot, describe its shape, and determine regression coefficients, regression equations, and correlation coefficients using technological tools.
• Evaluate studies that are based on data by examining the design of the study, the appropriateness of the data analysis, and the validity of conclusions.
• Apply the concept of expected value in problem situations.
• Use and interpret problems involving probability in terms of areas of geometric figures.