Binder Page

Measures of Center and Spread

Students calculate and select appropriate measures of center and variability and explain the effect of outliers.

Find It. Learn It. Master It.

My Progress

Beginner 15–20 minutes Probability & Statistics

Probability & Statistics Page 2 of 8

Inside Cover

At a Glance

Measures of Center and Spread

Binder SectionProbability & Statistics

DifficultyBeginner

Estimated Time15–20 minutes

PrerequisitesNone

Essential Question

How do center and variability work together to describe a data set?

Build Understanding

Mean and median describe center; range, interquartile range, mean absolute deviation, variance, and standard deviation describe spread. The mean uses every value and is sensitive to outliers. The median and IQR are more resistant.

Choose statistics that match the distribution: mean and standard deviation for roughly symmetric data without strong outliers; median and IQR for skewed data or data with outliers.

Visual Model

4Thousands 3Hundreds 2Tens 7Ones

4,327 = 4,000 + 300 + 20 + 7

Goals

Learning Targets

Mean = sum divided by number of values.
Median is the middle ordered value.
Range = maximum minus minimum.
IQR = Q3 minus Q1.
MAD is the average distance from the mean.

Click each word

Interactive Vocabulary

Reveal one step at a time

Worked Examples

Example 1

Data 3,5,5,7,10

Mean=6; median=5; mode=5; range=7.

Example 2

If Q1=12 and Q3=20

IQR=8.

Ask and explain

Common Questions

Must data be ordered to find the median? Yes.

Can an outlier change the mean? Yes, often substantially.

Can spread be zero? Yes, when every value is identical.

Notice and correct

Common Misconceptions

Finding median before ordering

Sort first.

Reporting only the mean

Include spread and consider outliers and shape.

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

Now Playing

Mean, Median, Mode, and Range - Math with Mr. J

1 Mean, Median, Mode, and Range - Math with Mr. J 2 Mean Absolute Deviation - Math with Mr. J 3 How to Find Quartiles - Math with Mr. J

Next Step

Ready to practice?

Use Practice It to apply what you just watched.

Go to Practice It →

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

Quick Start

Warm-Up

Warm-up 1

Find mean and median of 2,4,6,8.

We Do

Guided Practice

Guided 1

For 2, 4, 4, 6: mean = 4 and median = 4.

Guided 2

For 3, 5, 8, 12: range = 9.

Guided 3

If Q1 = 6 and Q3 = 15, IQR = 9.

Guided 4

For skewed incomes, median is usually more representative than mean.

Guided 5

Adding a very large outlier usually increases both mean and spread.

You Do

Independent Practice

Independent 1

Find mean and median of 2,4,6,8.

Independent 2

Create and solve a second example with different values.

Stretch Your Thinking

Challenge & Real-World Practice

🧩 Challenge

Create two data sets with the same mean but very different variability. Explain why the mean alone is insufficient.

IXL

Mean, Median, Mode, and Range

Open resource

IXL

Mean Absolute Deviation

Open resource

IXL

Quartiles and Interquartile Range

Open resource

Khan Academy

Summarizing Quantitative Data

Open resource

DeltaMath

DeltaMath: Measures of Center

Open resource

DeltaMath

DeltaMath: Measures of Spread

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.

Open My Binder →

My Binder 0 Saved Items in My Binder

Start your collection

Today’s Lesson

Printable Resources

0 resources collected

Available Now

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

Choose a Printable ↓

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

Open Full Binder →

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

1First Lesson

5Five Lessons

10Growing Binder

25Binder Builder

Finish Strong

Learned. Watched. Practiced. Saved.

Now capture the most important idea in My Math Journal.

Go to 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?

Quick Reflection

Complete the thought

💡 Big Idea ❓ Question 🌎 Real-World Connection

My Math Notes

What do you want to remember?

0 words

Learning Record

My Journal History

Revisit reflections saved from other MathBinder lessons on this device.

0 entries

Your journal history will grow as you reflect. Complete this lesson’s journal to begin your learning record.

Next Step

Ready to check your understanding?

Move into Mastery Check when your reflection feels complete.

Go to Mastery Check →

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%

Success Criteria

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.

Question 1

What should happen before calculating?

Question 2

Which response gives the strongest evidence?

Question 3

What is an effective accuracy check?

Question 4

Why are units or labels important?

Question 5

What should a student do after finding an error?

Confidence Check

How confident do you feel?

Lesson Complete

Great job on Measures of Center and Spread!

You reviewed the lesson, practiced the skill, and completed the mastery check.

Next Lesson: Sampling, Bias, and Statistical Questions → Back to Binder Topics

At a Glance

Learning Targets

Interactive Vocabulary

Worked Examples

Data 3,5,5,7,10

If Q1=12 and Q3=20

Common Questions

Common Misconceptions

Watch, pause, and explain

Mean, Median, Mode, and Range - Math with Mr. J

Ready to practice?

Practice until you can explain it

Warm-Up

Find mean and median of 2,4,6,8.

Guided Practice

For 2, 4, 4, 6: mean = 4 and median = 4.

For 3, 5, 8, 12: range = 9.

If Q1 = 6 and Q3 = 15, IQR = 9.

For skewed incomes, median is usually more representative than mean.

Adding a very large outlier usually increases both mean and spread.

Independent Practice

Find mean and median of 2,4,6,8.

Create and solve a second example with different values.

Challenge & Real-World Practice

Nice work!

IXL

Mean, Median, Mode, and Range

Mean Absolute Deviation

Quartiles and Interquartile Range

Khan Academy

Summarizing Quantitative Data

DeltaMath

DeltaMath: Measures of Center

DeltaMath: Measures of Spread

Save today’s lesson and grow your MathBinder

Printable Resources

Interactive Notebook Printables

Recently Added

My MathBinder

Build a Review Packet

My Collected Lessons

Favorite This Lesson

Continue Learning

Your Binder Achievements

Learned. Watched. Practiced. Saved.

My Math Journal

How confident do you feel?

Complete the thought

What do you want to remember?

My Journal History

Ready to check your understanding?

Can you do this on your own?

Before you begin, I can…

What should happen before calculating?

Which response gives the strongest evidence?

What is an effective accuracy check?

Why are units or labels important?

What should a student do after finding an error?

How confident do you feel?

Your Results

Review and try again

Great job on Measures of Center and Spread!