Can students tell bottled water from tap water? Go to the corresponding station on your index card. Pick up three cups (labeled A, B, and C) and take them back to your seat. Your task is to determine which one of the three cups contains the bottled water. Drink all of the water in cup A first, then the water in cup B, and finally the water in cup C. Write down the letter of the cup that you think held the bottled water. Do not discuss your results with any of your classmates yet! While you taste, your teacher will make a chart on the board like this one: Station number Bottled water cup? Truth

BE VERY CAREFUL WHEN SITTING Do not begin the taste test until given further instructions Please be cautious of the cups around you

Bottled Water Reveal Plate 1: C Plate 2 and 3: A Plate 4 and 5: B

1.2: Drawing Conclusions from Data Quiz tomorrow; test Tuesday

Statistical Problem-solving Process ASK A QUESTION OF INTEREST It should involve some characteristic that varies from individual to individual II. PRODUCE DATA the methods of choice are observational studies and experiments III. ANALYZE DATA graphs and numerical summaries are used to describe patterns, as well as deviations from a pattern INTERPRET RESULTS answer the question of interest Have the students label the opening lab with these four steps

Who has tattoos? ASK A QUESTION OF INTEREST What percent of U.S. adults have one or more tattoos? II. PRODUCE DATA The Harris Poll conducted an online survey of 2302 adults in 2008 III. ANALYZE DATA From the pie chart, 14 % said they had one or more tattoos. From the bar graph, males and females responded similarly. IV. INTERPRET RESULTS In this sample of adults, 14% said they had one or more tattoos.

SAMPLING VARIABILITY A different sample of 2302 adults might yield different results What are some possible sources for this variation?

Example (Sampling variability) How prevalent is cheating on tests? The Gallup Poll Organization conducted an Internet survey of 1200 students, aged 13 to 17, between January 23 and February 10, 2003. The question they posed was “Have you, yourself, ever cheated on a test or exam?” If another 1200 students are sampled, describe the % you might get? Why?

What’s wrong with this picture?

Analyzing Categorical Data Graphs: Good and Bad Bar graphs compare several quantities by comparing the heights of bars that represent those quantities. Our eyes react to the area of the bars as well as height. Be sure to make your bars equally wide. Avoid the temptation to replace the bars with pictures for greater appeal…this can be misleading! Analyzing Categorical Data Alternate Example: The following ad for DIRECTV has multiple problems. See how many your students can point out. First, the heights of the bars are not accurate. According to the graph, the difference between 81 and 95 is much greater than the difference between 56 and 81. Also, the extra width for the DIRECTV bar is deceptive since our eyes respond to the area, not just the height. Alternate Example This ad for DIRECTV has multiple problems. How many can you point out?

To do: Complete the “What’s wrong with this picture” hallway activity Turn-in answers, and pick-up 1.2 summary QUIZ TOMORROW: You may use the two homework sheets: 1.1 and 1.2 Summary (answers are on the blog)

1.2: Drawing Conclusions from Data Quiz tomorrow; test Tuesday

Statistical Problem-solving Process ASK A _____________ OF INTEREST It should involve some characteristic that varies from individual to individual II. _______________ DATA the methods of choice are observational studies and experiments III. _______________ DATA graphs and numerical summaries are used to describe patterns, as well as deviations from a pattern ________________ RESULTS answer the question of interest Have the students label the opening lab with these four steps

Who has tattoos? ASK A QUESTION OF INTEREST What percent of U.S. adults have one or more tattoos? II. PRODUCE DATA The Harris Poll conducted an online survey of 2302 adults in 2008 III. ANALYZE DATA From the pie chart, 14 % said they had one or more tattoos. From the bar graph, males and females responded similarly. IV. INTERPRET RESULTS In this sample of adults, 14% said they had one or more tattoos.

______________ VARIABILITY A different sample of 2302 adults might yield different results What are some possible sources for this variation?

Example (Sampling variability) How prevalent is cheating on tests? The Gallup Poll Organization conducted an Internet survey of 1200 students, aged 13 to 17, between January 23 and February 10, 2003. The question they posed was “Have you, yourself, ever cheated on a test or exam?” If another 1200 students are sampled, describe the % you might get? Why?

What’s wrong with this picture?