This course focuses on the gathering, description, and analysis of data. Each lesson is developed around questions generated from published or collected data sets, and a recurring theme of the course is to “let the data tell a story.” Techniques for one-variable and bivariate data analysis are included. Participants also explore randomness and sampling through probability experiments and data collection. Basic concepts of probability, such as techniques for determining the sample space, independence, and mathematical expectation, are included. Prerequisite: Math X462B (Number Power 2)

GETTING STARTED (GS-DATA)
Participants generate data sets by responding to questions on wall charts. They display the data sets in various ways, and they discuss the appropriateness of each display. They draw conclusions from the data, discuss their validity, and discuss generalizing to wider populations.

STATISTICS IN OUR WORLD (HEADLINES)
Participants discuss how statistics plays a role in everyday life through newspaper and television reports, analysis of election results, and many other sources. They discuss how data can be used and misused. Participants explore different techniques for displaying and summarizing data. They analyze a concrete data set, discuss categorical and numerical variables, and construct a stem-and-leaf plot.

CENTER AND SPREAD (TV)
Participants investigate various measures of center and spread in the context of a concrete data set. They learn about the five-number summary, and they create a box-and-whisker plot for the data set. They investigate the effect of outliers on the various measures of center and the five-number summary.

STANDARD DEVIATION (BK)
Participants learn about the variance and standard deviation of a data set. They are introduced to the normal distribution, and they learn the “68-95-99.7 rule.” Participants analyze one-variable data sets. They learn to use the graphing calculator as a computational tool.

LINEAR REGRESSION (MANATEE)
Participants review concepts of linear functions, including meaning of slope and intercept. They use data sets to create scatter plots, and they calculate the line of best fit by eye and with a graphing calculator. Participants make predictions based on the data set. Participants learn about the correlation coefficient.

PROBABILITY AND SAMPLING (PROB3)
Participants gather data by random sampling, they represent the data graphically, and they observe the effect of sample size. Participants describe outcomes of probability experiments using lists, tree diagrams, and outcome grids.

INDEPENDENCE (PROB4)
Participants analyze a sampling experiment with and without replacement, and they learn about independence. They analyze several games based on probability.

EXPLORING BIVARIATE DATA (DAVINCI)
Participants examine both published data and gathered data using bivariate data analysis techniques, and they find lines of best fit. Participants use the correlation coefficient to determine strength and direction of a relationship.

EXPLORING SAMPLING (FISH)
Participants conduct several experiments in which they use samples to make estimates. They investigate the accuracy of their estimates, and they compare the accuracy of estimates based on random samples with estimates obtained by other methods.

CAHSEE (CAHSEE-SDP)
Participants become familiar with the topics tested on the California High School Exit Exam (CAHSEE). They discuss several CAHSEE anchor problems and released items pertaining to probability, statistics, and data analysis.

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