What Makes A Statistical Question

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Illustrative Math
Grade 6

Lesson 2: Statistical Questions

Permit'south wait more closely at data and the questions they tin help to reply.

Illustrative Math Unit of measurement 6.8, Lesson 2 (printable worksheets)

Lesson two.1 Dots of Data

Measure your pencil to the nearest -inch. So, plot your measurement on the class dot plot.
What is the deviation between the longest and shortest pencil lengths in the class?
What is the most common pencil length?
Discover the divergence in lengths betwixt the most common length and the shortest pencil.

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Lesson 2.two What's in the Data?

Ten 6th-grade students at a school were each asked 5 survey questions. Their answers to each question are shown here.

information set A	0	ane	1	3	0	0	0	two	1	ane
information set B	12	12	12	12	12	12	12	12	12	12
data set C	6	5	7	6	4	five	3	4	vi	8
data prepare D	6	half-dozen	6	6	half-dozen	6	vi	6	half dozen	6
data ready East	3	7	9	11	6	4	vi	sixteen	half-dozen	10

1. Here are the five survey questions. Lucifer each question to a data set that could represent the students' answers. Explain your reasoning.
Question 1: Flip a coin x times. How many heads did you get?
Data set ______ Reason:
Question two: How many books did you read in the concluding year?
Data set ______ Reason:
Question 3: What grade are you in?
Data set ______ Reason:
Question 4: How many dogs and cats do you lot have?
Information set ______ Reason:
Question 5: How many inches are in i foot?
Information prepare ______ Reason:
2. Hash out with a partner: How are Question 3 and Question 5 unlike from the other questions?

Lesson 2.three What Makes a Statistical Question?

These three questions are examples of statistical questions:

What is the most common colour of the cars in the school parking lot?
What percentage of students in the school have a cell phone?
Which kind of literature—fiction or nonfiction—is more popular amongst students in the school?
These three questions are non examples of statistical questions:
What color is the chief'due south car?
Does Elena have a cell telephone?
What kind of literature—fiction or nonfiction—does Diego prefer?

Study the examples and not-examples. Discuss with your partner:
Pause here for a class discussion.

How are the iii statistical questions alike? What practice they accept in common?
How are the iii non-statistical questions akin? What practise they have in common?
How tin can you find answers to the statistical questions? How nearly answers to non-statistical questions?
What makes a question a statistical question?

Read each question. Think about the data you might collect to answer information technology and whether you look to come across variability in the data. Complete each bare with "Yeah" or "No."
a. How many cups of h2o do my classmates drink each day?
Is variability expected in the data? _______ Is the question statistical? _______ b. Where in town does our math teacher live?
Is variability expected in the data? _______ Is the question statistical? _______
c. How many minutes does information technology take students in my class to get set for schoolhouse in the morning?
Is variability expected in the data? _______ Is the question statistical? _______
d. How many minutes of recess do sixth-grade students have each day?
Is variability expected in the data? _______ Is the question statistical? _______
e. Practise all students in my class know what calendar month it is?
Is variability expected in the data? _______ Is the question statistical? _______

Lesson two.4 Sifting for Statistical Questions

Your teacher will give you lot and your partner a set of cards with questions. Sort them into three piles: Statistical Questions, Non Statistical Questions, and Unsure.
Compare your sorting decisions with another group of students. Start by discussing the two piles that your group sorted into the Statistical Questions and Non Statistical Questions piles. So, review the cards in the Unsure pile. Discuss the questions until bothbr>

The Open up Resources math curriculum is complimentary to download from the Open up Upwards Resources website and is besides bachelor from Illustrative Mathematics.

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