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I wonder if, Do you like sports? is a statistical question. In this lesson you will learn how to define a statistical question by comparing examples and non-examples. Responses from 6 th graders at McKinley Middle School. - PowerPoint PPT Presentation

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I wonder if, Do you like sports?is a statistical question.I wonder if, Do you like sports? is a statistical question?What makes a question a statistical question? 1Eric has been recommending that the hook question be a question that is later answered in the Core Lesson or Guided Practice, so it makes a link and the lesson comes full circle.

For example. "I wonder if, "What's your favorite sport? is a statistical question."In this lesson you will learn how to define a statistical question by comparing examples and non-examples.In this lesson you will learn how to define a statistical question by comparing examples and non=examples.

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Responses from 6th graders at McKinley Middle SchoolLets ReviewLets review by looking at the important elements of a graph. The title appears at the top and includes a summary of the question asked. Each of the bars are labeled and the y axis has a title, Subjects which summarizes the answers. The x-axis here is the number of students with the numbers spaced evenly and the axis title below. The population that was surveyed here is stated at the bottom.

3Students ask questions with too few or too many answers and do not state a specific population.Do you like math?What do you like best about school?A Common MistakeA common mistake that students make is asking questions that have too few or too many answers. Look at these questions and imagine what how the graphs might look. 4Do you like math?

Responses from 6th graders at McKinley Middle SchoolCore LessonLets begin with the question, Do you like math? When 6th graders at McKinley Middle School were asked this question, here were their responses. This is not a statistical question because there are only 2 possible answer choices yes or no. 5Change the font in graph to Orly Font 2.

Since the objective is comparing examples and non-examples, you should have a graph that is a non-example to help build the definition.

Responses from 6th graders at McKinley Middle SchoolCore LessonWhen the question is changed to What is your favorite subject in school? there are a variety of answers and interesting information is given. This is a great example of a statistical question.

6Change the font in graph to Orly Font 2.

Since the objective is comparing examples and non-examples, you should have a graph that is a non-example to help build the definition.

What do you like best about school?Core LessonNow lets look at the other question, What do you like best about school? Lets imagine how this graph might look. Whoa! There are so many answers that everyone gave a different answer, except for computers which received 2 votes. This is not a statistical question because there are too many answer choices. The number of answers given is called, variability. Statistical questions should ideally have about variability of 4-6 answers. Also, this graph does not include the population that was sampled, or surveyed. Do you think the responses would be different if adults were asked this question instead of students?

7Change the font in graph to Orly Font 2.

Since the objective is comparing examples and non-examples, you should have a graph that is a non-example to help build the definition.

Favorite Sports on TVWhat is your favorite sport on TV?Based upon U.S. viewer data from The Nielsen Company.Core LessonLets look at another question. What is your favorite sport on TV? Is this a statistical question? How much variability would you expect, in other words, how many answer choices would you expect? Here is how the graph looks. Was it what you expected? It includes an interesting question, the population that was surveyed, and variability in the responses.

8Change the font in graph to Orly Font 2.

Since the objective is comparing examples and non-examples, you should have a graph that is a non-example to help build the definition. What is your favorite sport on TV?

Responses from members of the University of Connecticut football teamCore LessonImagine how this data might be different if the people surveyed were the members of the University of Connecticut football team. How would you expect the graph to look? Not surprising, but all of the responses were for football. This had an interesting question and the population surveyed is stated, but there is no variability in the responses. This is not a statistical question. 9Change the font in graph to Orly Font 2.

Since the objective is comparing examples and non-examples, you should have a graph that is a non-example to help build the definition. A statistical question:Expects a variety of answers.Includes a specific population.Has variability in the responses.Core LessonA statistical question asks about a topic of interest, includes a specific population, and has variability in the responses.

10Change the font in graph to Orly Font 2.

Since the objective is comparing examples and non-examples, you should have a graph that is a non-example to help build the definition. In this lesson you have learned how to define a statistical question by comparing examples and non-examples.In this lesson you learned how to define a statistical question by comparing examples and non-examples. Check slides. You did not use this objective in the Reviewing objective slide. 11This does not match the objective stated at the beginning. Which of these is a statistical question?What is your favorite flavor of ice cream?Is chocolate your favorite ice cream flavor?Guided PracticeTry this problem on your own. Which of these is a statistical question? Is chocolate your favorite ice cream flavor? or What is your favorite flavor of ice cream? Which question will give you a variety of answers? The first question asks a question in which the only answers are yes or no. The second question will bring many more responses, so it is a statistical question.12Which of these is a statistical question?How many miles do I live from school?

How many miles do the students in my school live from school?Quick QuizLearnZillion Notes:--Quick Quiz is an easy way to check for student understanding at the end of a lesson. On this slide, youll simply display 2 problems that are similar to the previous examples. Thats it! You wont be recording a video of this slide and when teachers download the slides, theyll direct their students through the example on their own so you dont need to show an answer to the question.13In the lesson set, I recommended the questions be

How many miles do I live from school?

and

How many miles do the students in my school live from school?

They are similar, but can focus on the variability of responses. Which of these is a statistical question?How many books did the students at Roberts Middle School read this summer?

How many books did you read today?Quick QuizLearnZillion Notes:--Quick Quiz is an easy way to check for student understanding at the end of a lesson. On this slide, youll simply display 2 problems that are similar to the previous examples. Thats it! You wont be recording a video of this slide and when teachers download the slides, theyll direct their students through the example on their own so you dont need to show an answer to the question.14I would revised questions to be the following:

How many books did you read this summer? V. How many books did you read today?

We want to compare the variability of answers. How can you create a statistical question that has variability?How can you create a statistical question that has variability?15Often students write questions with only two possible answers and do not state the population.Do you like listening to music? Yes or No.When students write statistical questions, they often write questions with too few or too many answers and they dont state who the population is.. Do you like listening to music? will only give you 2 possible answers yes or no. Who is being asked this question? You might get different responses if you asked professional musicians than if you asked small children. 16Do you like listening to music?What is 6th graders favorite type of music?Who is Room 16s favorite singer?How many hours per week do 6th graders listen to music?How can we take this same question and turn it into a statistical question?Lets begin by thinking about some of the answer choices we might want to hear. It might be interesting to hear all of the types of music 6th graders like, so we could rewrite the question to What 6th graders favorite type of music? or How many hours per week do 6th graders listen to music? or even Who is Room 16s favorite singer? Any of these would probably give us the variability we are looking for and we are indicating who the population is that we plan to survey.17Variability is the number of different answers you hear.Variability is based on the word, variable which is something that changes. Variability is a way of describing how many different answers you hear and how the data appears. A question that gives only 2 answers has very little variability, but a question that gives 4 to 6 popular answers gives a good amount of variability and can make an interesting graph.18How many answers could you expect to hear if you asked 16 sixth graders at Taylor Middle School this question:What did you eat for dinner last night?How many answers could you expect to hear if you asked 16 sixth graders at Taylor Middle School this question, What did you eat for dinner last night?19Yikes! There are way too many different answers here and they all have 1 vote except for cheeseburgers which has 2. This question had too much variability because there are too many different answers.20What did you eat for dinner last night?What is the 6th graders favorite meal in the school cafeteria?What is the favorite Mexican