Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.4

Lesson 2.32.1–2.3 Catch-Up

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can show I am caught up on Lessons 2.1–2.3 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 2.1–2.3: 2.1 Understand Statistical Questions, 2.2 Represent and Describe Data in a Histogram, 2.3 Describe the Data Using the Median. Work one example from each lesson, then prove you're caught up in the mixed practice.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
Statistical QuestionSpanish: Pregunta estadística A question where the answers will be different for different people. “How tall are the players on the team?” → answers vary: 60 in, 63 in, 58 in, 65 in
Non-statistical QuestionSpanish: Pregunta no estadística A question that does not anticipate variability in the data used to answer it. It may ask for one fact or measurement. “How tall am I?” → one answer: 60 in. Everyone who measures gets the same number.
DataSpanish: Datos Facts and numbers you collect, like answers to a survey. Player heights: 60 in, 63 in, 58 in, 65 in — four different measurements
VariabilitySpanish: Variabilidad How spread out the numbers are. Scores 10, 12, 11 are close together (low variability); scores 2, 15, 30 are far apart (high variability)
SurveySpanish: Encuesta Collecting facts by asking people questions. Asking 50 students 'What is your favorite sport?' and recording the answers
Data distributionSpanish: Distribución de datos How the data looks: where it sits and how spread out it is. A distribution is symmetric when its left and right sides have approximately matching shapes around the center.

How it worksWorked example

These numbers are not on your problems. The steps are. Follow them with your own numbers.

Find the median of 7, 2, 9, 4, 6.

  1. Order: 2, 4, 6, 7, 9.
  2. Cross off 2 and 9, then 4 and 7.
  3. One value is left: 6.

Answer: Median = 6

Now you trySame steps, your turn

The steps are the same as the worked example. The numbers are yours. Do the work.

Is this a statistical question? "How many legs does a spider have?" Type yes or no.

Answer:

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

  • In order, the values are .
  • There are values, so the middle one is in position .
  • The median is , which means .
  • About half the values are below .

Word bank medianorderleastgreatestmiddlehalftypicalcenterpositioncountoutlierdata

Watch out!A common mistake

A common mistake in Mean, Median, and Mode is finding the median without ordering the data first

Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.4

Lesson 2.32.1–2.3 Catch-Up

Catch-UpSkill bridge

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can show I am caught up on Lessons 2.1–2.3 by using each lesson's big idea in mixed practice.

Why This Matters Missed a lesson — or just want a refresher? This catch-up station reviews Lessons 2.1–2.3: 2.1 Understand Statistical Questions, 2.2 Represent and Describe Data in a Histogram, 2.3 Describe the Data Using the Median. Work one example from each lesson, then prove you're caught up in the mixed practice.

  1. 1Complete each step, then write the final answer.

    Is this a statistical question? "What is each student's favorite fruit?" Type yes or no.

    Show your work

    Hint Will every student say the same fruit?

    Final answer:
  2. 2Complete each step, then write the final answer.

    Is this a statistical question? "How many wheels does a bike have?" Type yes or no.

    Show your work

    Hint How many different answers can this question have?

    Final answer:
  3. 3Complete each step, then write the final answer.

    Data: 1, 4, 12, 13, 17, 25. Use intervals of 0–9, 10–19 and 20–29. What is the frequency of 0–9?

    Show your work

    Hint Count the values from 0 to 9.

    Final answer:
  4. 4Complete each step, then write the final answer.
    0123450102030Data valuesFrequency

    A histogram has bars 0–9: 5, 10–19: 2 and 20–29: 3. How many values are there in all?

    Show your work

    Hint Each bar height is a count. Add the heights.

    Final answer:
  5. 5Complete each step, then write the final answer.

    Find the median of this data set: 4, 1, 7, 3, 9.

    Show your work

    Hint Put the values in order first.

    Final answer:
  6. 6Complete each step, then write the final answer.

    Find the median of this data set: 10, 2, 8, 6.

    Show your work

    Hint Four values have two middle values.

    Final answer:

Explain your thinkingThe mean (43) is higher than the median (41). Why? Which better represents a typical game?

Sentence starter The mean is higher than the median because the high score of ___ pulls the mean ___. The ___ better represents a typical game because ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help