Add a student-friendly definition in the Binder Page editor.
Sampling, Bias, and Statistical Questions
Students distinguish statistical questions, evaluate samples, and identify sources of bias.
Find It. Learn It. Master It.
Beginner
15–20 minutes
Probability & Statistics
Probability & Statistics
Page 3 of 8
Inside Cover
Sampling, Bias, and Statistical Questions
At a Glance
Binder SectionProbability & Statistics
DifficultyBeginner
Estimated Time15–20 minutes
PrerequisitesNone
When does a sample support a trustworthy conclusion about a population?
Build Understanding
A statistical question anticipates variability and is answered with data. A population is the full group of interest; a sample is the smaller group studied.
Random and representative samples support reasonable generalizations. Convenience samples, voluntary-response samples, leading questions, undercoverage, and nonresponse can introduce bias.
Visual Model
4Thousands
3Hundreds
2Tens
7Ones
4,327 = 4,000 + 300 + 20 + 7
Goals
Learning Targets
- Statistical questions expect varied answers.
- Define the population before selecting a sample.
- Random selection reduces selection bias.
- A large biased sample is still biased.
- Survey wording and collection methods affect results.
Click each word
Interactive Vocabulary
Add a student-friendly definition in the Binder Page editor.
Add a student-friendly definition in the Binder Page editor.
Add a student-friendly definition in the Binder Page editor.
Add a student-friendly definition in the Binder Page editor.
Reveal one step at a time
Worked Examples
Example 1
Survey school lunch preference
1
Sampling only cafeteria workers is biased.
2
Randomly select students across grades.
Example 2
18 of 30 sampled students prefer option A
1
Estimate 60% of a similar population, with uncertainty.
Ask and explain
Common Questions
Is a larger sample always better? Only when the sampling method is sound.
Does random mean haphazard? No; each member needs a known chance of selection.
Can a survey question cause bias? Yes, especially when it is leading or unclear.
Notice and correct
Common Misconceptions
Using a convenience sample
Identify who is excluded.
Treating an estimate as exact
Report it as an inference and discuss uncertainty.
Learn Through Video
Watch, pause, and explain
Use the chapter markers, key vocabulary, and reflection prompts to stay actively engaged while you watch.
Not Started
Build Your Skills
Practice until you can explain it
Move from a quick warm-up to guided practice, independent work, and deeper challenges.
0%
0 of 4 stages complete
Warm-Up
Guided
Independent
Challenge
1
Quick Start
Warm-Up
Which is less biased: first 20 arrivals or 20 randomly selected names?
2
We Do
Guided Practice
How many minutes do students read nightly? is statistical.
Surveying only basketball players about school sports is undercoverage.
Drawing names randomly from a complete roster is a simple random sample.
Would you agree our excellent program should continue? is leading.
Results should be generalized only to a population represented by the sample.
3
You Do
Independent Practice
Which is less biased: first 20 arrivals or 20 randomly selected names?
Create and solve a second example with different values.
4
Stretch Your Thinking
Challenge & Real-World Practice
Design a sampling plan for a schoolwide question. Identify two possible biases and explain how the design reduces them.
Practice Complete
Continue to My Math Journal →
Nice work!
You completed the Practice It learning path.
IXL
Identify Representative, Random, and Biased Samples
Open resourceIdentify Biased Samples
Open resourceKhan Academy
Study Design
Open resourceDeltaMath
DeltaMath: Statistical Questions
Open resourceDeltaMath: Sampling Methods and Bias
Open resource
BUILD YOUR PERSONAL MATH LIBRARY
Save today’s lesson and grow your MathBinder
Collect lesson resources, revisit recent pages, build review packets, and watch your binder grow over time.
My Binder
0
Saved Items in My Binder
Start your collection
Today’s Lesson
0 resources collected
Printable Resources
Available Now
Choose a Printable ↓
Interactive Notebook Printables
Choose any notebook page below and select Print Blank Copy to complete it by hand.
- Lesson-specific pages
- Clean print layout
- Add to a physical binder
Your Collection
Recently Added
Your saved items will appear here.Build a binder you can use all year.
Binder Preview
My MathBinder
MathBinder
Find It. Learn It. Master It.
0 saved items
Number SystemRatiosAlgebraGeometry
Study Tools
Build a Review Packet
My Collected Lessons
Create a printable list of the lessons saved in this browser.
Favorite This Lesson
Save this page for quick access from your MathBinder dashboard.
Continue Learning
Move to another published lesson in this Binder Section.
Open Data Displays and Distributions →Milestones
Your Binder Achievements
Finish Strong
Go to My Math Journal →
Learned. Watched. Practiced. Saved.
Now capture the most important idea in My Math Journal.
Parent Tip
Spend five minutes reviewing one saved lesson together each week. Ask your child to explain one example aloud.
MY PRIVATE MATH SPACE
My Math Journal
Capture your thinking, questions, and reflections. Everything is saved automatically on this device.
Saved on this device
Ready
Confidence Check
How confident do you feel?
Awesome! You’re ready to teach someone else!
Quick Reflection
Complete the thought
My Math Notes
0 words
What do you want to remember?
Learning Record
0 entries
My Journal History
Revisit reflections saved from other MathBinder lessons on this device.
Your journal history will grow as you reflect.
Complete this lesson’s journal to begin your learning record.
Your Math Journal is automatically saved on this device.
Clearing your browser data will erase your saved journal entries.
Show What You Know
Can you do this on your own?
Complete each question without hints. Your result is saved privately on this device.
5–8
Minutes
0 of 5 answered
0%
Before you begin, I can…
- I can identify the important information.
- I can use accurate notation, labels, and units.
- I can justify and verify my conclusion.
1
Question 1
What should happen before calculating?
2
Question 2
Which response gives the strongest evidence?
3
Question 3
What is an effective accuracy check?
4
Question 4
Why are units or labels important?
5
Question 5
What should a student do after finding an error?
Confidence Check
How confident do you feel?
Mastery Result
0%
Your Results
Recommended Next Step
Review and try again
Badge EarnedSampling, Bias, and Statistical Questions Master
Lesson Complete
Great job on Sampling, Bias, and Statistical Questions!
You reviewed the lesson, practiced the skill, and completed the mastery check.