Answer the following questions: 1) What time does school start? 2) What time do you think school should start? 3) Will all the students in the class answer question 1 the same? Why or why not? 4) Will all the students in the class answer question 2 the same? Why or why not? 5) What is the difference between question 1 and 2? Students will identify statistical questions Statistical Question: a question that produces answers that vary from person to person Variability-how many different answers there are to a statistical question Complete “Take a Snapshot” survey on page 349. How do you think your classmates’ answers to the survey questions will compare to your answers? Consider the following questions: 1) What is your teacher’s height? 2) How many pets does your teacher have? Will these questions have more than one answer? How are these questions different than the survey questions? Statistical Questions Questions that will be different from person to person Which survey questions do you think will have the greatest amount of variability? Which survey questions do you think will have the least amount of variability? Distribution: all the values for the possible answers to a statistical question Suppose a math test had very little variability. What would that tell you about the distribution of test grades? Try these: Decide which questions below are statistical questions: 1. What day of the week is today? 2. What colors of cars do the teachers at this school drive? 3. How thick are the books in the school library? 4. How thick is your science text book? Types of Data We use two types of data to answer statistical questions: numerical data and categorical data. If we recorded the age of 25 baseball cards, we would have numerical data. Each value in a numerical data set is a number. If we recorded the team of the featured player for 25 baseball cards, you would have categorical data. Although you still have 25 data values, the data values are not numbers. They would be team names, which you can think of as categories. Types of Data Reflections How do you recognize questions that will produce answers with a lot of variability? What is the difference between numerical and categorical data? Homework: Statistical Questions worksheet
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