Home›Lesson Plans›Mathematics›Statistics & Probability · Grade 6

Mean, Median & Mode: Describing a Set of Data

Students learn three ways to find the “typical” value in a data set — the mean (average), the median (middle), and the mode (most common) — plus the range that shows how spread out the data is.

Grade 6Statistics50 minutes1 class periodGradual ReleaseExplicit teaching4 StandardsCommon Core
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Lesson at a Glance

Everything you need before the bell rings

Learning Objectives

Students will be able to…

  • ✓Find the mean (average).
  • ✓Find the median (middle).
  • ✓Find the mode (most common).
  • ✓Find the range (spread).
Essential Question

Five friends scored 4, 7, 7, 2, and 10 on a game. What’s the “typical” score — and why is there more than one way to answer?

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Lesson Phases
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Vocabulary Terms
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Standards Aligned
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Interactive Task
Model · Interactive Tool

Data Explorer

Project this and move the sliders to change the data. Watch the mean, median, mode, and range update as the bars change.

📊 Change the data — watch the measures changeTry it

Move the sliders to change the data. Watch the mean, median, and mode change!

The Lesson · Gradual Release (I Do · We Do · You Do)

50 minutes, five moves

Tap any phase to open the teacher moves and student actions.

1

Launch — The Typical Score

5 min

Scores 4, 7, 7, 2, 10 — what’s the “typical” one?

👩‍🏫 Teacher Moves

  • Show a small data set.
  • Ask for the “typical” value.
  • Set the goal: mean, median, mode.

🎒 Student Actions

  • Look at the data.
  • Guess the typical.
  • Predict the ways.
2

I Do — Three Measures

10 min

Teacher models.

👩‍🏫 Teacher Moves

  • Mean = add, then divide.
  • Median = middle when sorted.
  • Mode = most common; range = spread.

🎒 Student Actions

  • Compute the mean.
  • Find the median.
  • Find mode and range.
3

We Do — Explore Together

13 min

Class drives the Data Explorer.

👩‍🏫 Teacher Moves

  • Change data; watch measures.
  • See how one big value shifts the mean.
  • Compare mean and median.

🎒 Student Actions

  • Change the data.
  • Read the measures.
  • Compare mean/median.
4

You Do — On Your Own

12 min

Students find measures.

👩‍🏫 Teacher Moves

  • Give data sets to summarize.
  • Find mean, median, mode, range.
  • Interpret the results.

🎒 Student Actions

  • Find all measures.
  • Show the work.
  • Explain the results.
5

Close — Close

5 min

One data set.

👩‍🏫 Teacher Moves

  • Give a data set; find the measures.
  • Explain which describes it best.
  • Hand out the exit ticket.

🎒 Student Actions

  • Find the measures.
  • Explain the best one.
  • Complete the exit ticket.
Standards Alignment

Built to the standards you report on

Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.

CCSS
6.SP.5c

Give quantitative measures of center (median, mean) and variability (range).

CCSS
6.SP.2

Understand that a set of data has a distribution described by center, spread, and shape.

CCSS
6.SP.3

Recognize that measures of center summarize data with a single number.

CCSS
6.SP.5

Summarize numerical data sets in relation to their context.

Differentiation

One lesson, every learner

Multilingual Learners

ELL / EMERGING READERS
  • Line up data to find the median.
  • Sentence frame: “The mean is ___, the mode is ___.”
  • Use counters to average.

Support & Access

IEP / 504
  • Start with 3 data points.
  • Use a calculator for the mean.
  • Find the mode first (easiest).

Stretch & Extend

GIFTED / EARLY FINISHERS
  • Explain when mean vs. median is better.
  • Add an outlier and see the effect.
  • Make a data set with a given mean.
Materials

What to gather

  • 📽️Projector / board
  • 📓Math notebooks
  • 💻Data Explorer
  • 🧮Calculators
  • ✏️Pencils
  • 🎫Exit-ticket slips
Vocabulary

Key terms — hover for a quick definition

datacollected numbers or factsmeanthe average (add, then divide)medianthe middle value when sortedmodethe most common valuerangebiggest minus smallestaveragethe meanmeasure of centera typical valueoutliera value far from the others
Evaluate

Exit Ticket

Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.

QUESTION 1
Find the mean of 4, 7, 7, 2, 10.
6 (30 ÷ 5).
QUESTION 2
Find the median of 4, 7, 7, 2, 10.
7 (sorted: 2, 4, 7, 7, 10 — the middle).
QUESTION 3
Find the mode of 4, 7, 7, 2, 10.
7 (it appears most often).

Going deeper? Effect of an outlier.

Have students compute the mean and median, then add one very large value and see which measure changes more. A printable data-analysis sheet is in the Math library.

Study · Flashcards

Study the key terms

Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.

🃏 Mean, Median & ModeFlip
Card 1
Term
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Meaning
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Practice · Quiz

Check your understanding

A quick self-check with instant feedback, drawn from this lesson’s key terms.

📝 Mean, Median & ModeQuiz
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Question 1
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Practice · Worksheet

Printable worksheet

A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.

🖨️ Mean, Median & ModePrint
Name: ________________________
Date: ____________

Part A · Write the word that matches each meaning

Word bank: average, data, mean, measure of center, median, mode, outlier, range
  1. a value far from the others
  2. the most common value
  3. the average (add, then divide)
  4. the middle value when sorted
  5. the mean
  6. collected numbers or facts
  7. biggest minus smallest
  8. a typical value

Part B · Show what you learned

  1. Find the mean of 4, 7, 7, 2, 10.
  2. Find the median of 4, 7, 7, 2, 10.
  3. Find the mode of 4, 7, 7, 2, 10.
Answer key — Part A: 1) outlier · 2) mode · 3) mean · 4) median · 5) average · 6) data · 7) range · 8) measure of center
Part B: 1) 6 (30 ÷ 5). 2) 7 (sorted: 2, 4, 7, 7, 10 — the middle). 3) 7 (it appears most often).