Lesson 5.1- Intro to Statistics

Work with your groups:

A group of ten 6th graders were asked a set of survey questions. Match each question to a data set that COULD represent the students’ answers. (Be prepared to share your reasoning!)

Match

Match the questions to the data set that makes the MOST sense:

• Question 1: Flip a coin 10 times. How many times did it land on tails?

• Question 2: How many books did you read in the last year?

• Question 3: What grade are you in?

• Question 4: How many classes did you fail?

• Question 5: How many inches are in 1 foot?

Data Set C

6, 5, 7, 6, 4, 5, 3, 4, 6, 8

Data Set E

3, 7, 9, 11, 6, 4, 2, 16, 6, 10

Data Set D

6, 6, 6, 6, 6, 6, 6, 6, 6, 6

Data Set A

0, 1, 1, 3, 0, 0, 0, 2, 1, 1

Data Set B

12, 12, 12, 12, 12, 12, 12, 12, 12

• Data Set C

  6, 5, 7, 6, 4, 5, 3, 4, 6, 8

• Data Set E

  3, 7, 9, 11, 6, 4, 2, 16, 6, 10

• Data Set D

  6, 6, 6, 6, 6, 6, 6, 6, 6, 6

• Data Set A

  0, 1, 1, 3, 0, 0, 0, 2, 1, 1

• Data Set B

  12, 12, 12, 12, 12, 12, 12, 12, 12

Discuss with your group: How are Questions 3 and Question 5 different from the other questions?

Question 1: Flip a coin 10 times. How many times did it land on tails?

Question 2: How many books did you read in the last year?

Question 3: What grade are you in?

Question 4: How many classes did you fail?

Question 5: How many inches are in 1 foot?

Questions 1, 2 and 4 are examples of a Statistical Question.

Statistics is the collection, analysis, interpretation, presentation, and organization of measurable data.

A Statistical Question is a type of question that can be used to collect and analyze that data.

What makes a question statistical?

• Has a variety of answers

• Gives data that can be measured and analyzed

Example: How would you rate the Math State Test?

Open Ended

Choose 1 of the questions below and explain what makes it STATISTICAL:

1) What is the weight of a mouse?

2) How many years has each teacher been at NHMS?

3) How old are the 6th graders in NHMS?

​A question is not statistical if there is no opportunity for variety in the answers. For example:

It only has one answer- How many teachers are at NHMS?

It is a yes or no question- Is that 6th grader 12 years old?

It asks one person- How much does YOUR pet mouse weigh?

Open Ended

For a school project, Tatum asked Jasir how tired he was on a scale of 1 to 5 every morning for one week. Kenzo told Tatum that this wasn’t a statistical question because he only asked one person.

Do you agree with Kenzo? Explain why or why not.

Draw

Highlight each question that IS statistical.

Draw

Rewriting questions Example:

Open Ended

Rewrite each of  the following questions so they become statistical questions:

1)  How many girls are in class 602?

2) Is ice cream your favorite dessert?

3) How many hours did you study for the state test?

4) Which basketball player scored the most points this season?