Neft Teacher · Notes Packet

Unit 8 · Standard 6.SP.3

Mean, Median, and Mode

Lesson 8-2

Name:Date:Class:

Key Vocabulary Level 1 support

Picture first, then the word, then a plain-language meaning. Say each word out loud.

Illustration of Mean: The average. Add all the numbers, then divide by how many there are.

Mean of 2, 4, 6: add them (2+4+6=12), divide by 3 → mean = 4

Mean

The average. Add all the numbers, then divide by how many there are.

Illustration of Median: The middle number when you put them in order.

Data: 1, 3, 5, 7, 9 → the middle (3rd) value is 5, so median = 5

Median

The middle number when you put them in order.

Illustration of Mode: The number that shows up most often.

Data: 2, 3, 3, 5, 7 → 3 appears twice (most often), so mode = 3

Mode

The number that shows up most often.

Illustration of Outlier: A number that is much bigger or smaller than the rest.

Data: 10, 12, 11, 13, 50 → 50 is far from the others, so 50 is an outlier

Outlier

A number that is much bigger or smaller than the rest.

Illustration of Data distribution: How the data looks: where it sits and how spread out it is.

If most values cluster in the center with fewer at the ends, the distribution is symmetric

Data distribution

How the data looks: where it sits and how spread out it is.

Illustration of Variability: How spread out the numbers are.

8, 9, 10, 11 has low variability (close together); 2, 10, 25, 40 has high variability (far apart)

Variability

How spread out the numbers are.

Key Ideas & Notes

Think About It

  • What are the highest and lowest scores?
  • Do any scores repeat?
  • Which score seems like a typical game for this team?

My Notes

Guided Examples

Example 1

Find the mean of: 10, 14, 8, 12, 16

Solution: Sum = 10 + 14 + 8 + 12 + 16 = 60. Mean = 60 ÷ 5 = 12.

Answer: A. 12

Example 2

Find the median of: 3, 7, 2, 9, 5

Solution: Ordered: 2, 3, 5, 7, 9. The middle value is 5.

Answer: A. 5

Example 3

Find the mode of: 4, 7, 4, 9, 2, 4, 8

Solution: 4 appears three times — more than any other value. Mode = 4.

Answer: A. 4

Write About the Math The Writing Revolution

I can explain my reasoning using the words mean, median, mode, and outlier.

1. Kernel Sentence subject + verb

Model: Mean is the average. Add all the numbers, then divide by how many there are.Media es el promedio. Suma todos los números y divide entre cuántos hay.

Write a kernel sentence about mean. Use a subject and a verb.Escribe una oración base sobre media. Usa un sujeto y un verbo.

2. Sentence Expansion because · but · so

Kernel: Mean matters in mathMedia importa en matemáticas

Expand the kernel three ways. Add a reason, a contrast, and a result.

becauseporque

Mean matters in math because ___.Media importa en matemáticas porque ___.

butpero

Mean matters in math, but ___.Media importa en matemáticas, pero ___.

soentonces

Mean matters in math, so ___.Media importa en matemáticas, entonces ___.

3. Sentence Types 4 ways to write a math idea

StatementAfirmación

Tell one true fact about mean.Di un hecho verdadero sobre mean.

Mean ___.

QuestionPregunta

Ask a question about mean.Haz una pregunta sobre mean.

How does ___ ?¿Cómo ___ ?

ExclamationExclamación

Show excitement about mean.Muestra entusiasmo sobre mean.

Wow, ___ !¡Guau, ___ !

CommandMandato

Tell a partner what to do with mean.Dile a un compañero qué hacer con mean.

First, ___ .Primero, ___ .

4. Explain Your Reasoning use a sentence starter

The mean is ___, the median is ___.La media es ___, la mediana es ___.

They are different because ___.Son diferentes porque ___.

I would use the ___ when ___.Usaría la ___ cuando ___.

Try It

Solve on your own. Check the answer key when you are done.

1. Find the mean of: 6, 8, 10, 12, 14

  1. 10
  2. 8
  3. 12
  4. 50
Show your work:

2. Data set: 4, 6, 6, 8, 10, 12. What is the median?

  1. 7
  2. 6
  3. 8
  4. 7.67
Show your work:

Stretch Your Thinking Level 2 enrichment

Challenge task — explain your reasoning in full sentences.

A basketball player scored 15, 18, 16, 42, and 14 points in 5 games. Find the mean and median. Which better represents the player's typical game? Explain how the outlier affects each measure.

Sentence starter: Mean = ___. Median = ___. The ___ better represents a typical game because the outlier (___) pulls the ___ toward it, making it ___ than most scores. The median is not affected because ___.

Show your work:

Reflect — Exit Ticket

Data set: 4, 7, 10, 7, 12. What is the median?

  1. 7
  2. 8
  3. 10
  4. 4
Your answer:

Answer Key & Teacher Guide

  1. Try It 1: A. 10 — Sum = 6 + 8 + 10 + 12 + 14 = 50. Mean = 50 ÷ 5 = 10.
  2. Try It 2: A. 7 — With 6 values, the median is the average of the 3rd and 4th values: (6 + 8) ÷ 2 = 7.
  3. Exit Ticket: A. 7 — Ordered: 4, 7, 7, 10, 12. The middle (3rd) value is 7.

Writing (TWR) — what to look for