Unit 6 · Topic 3

Choosing the Right Display

Overview

Match the graph to the kind of data you have.

Topic 3 of 3~44 min
Unit overview

The lesson

This lesson teaches Choosing the Right Display. Read each section in order, work through every example on paper, then use the practice problems and quick check at the bottom.

Three common displays

A dot plot shows every single value, so it's best for small data sets. A histogram groups numeric data into ranges (bins), which works well for larger sets. A box plot summarizes data with five key numbers and is great for comparing two groups.

When you study three common displays, slow down and write one example in your notebook without looking at the screen. That active step is what turns reading into learning.

Picking one

Ask what the question needs. Counting how often each value appears? Use a dot plot or histogram. Comparing the spread of two groups? A box plot makes that easy.

When you study picking one, slow down and write one example in your notebook without looking at the screen. That active step is what turns reading into learning.

Why this matters

Choosing the Right Display shows up constantly in match the graph to the kind of data you have. It also connects to what you will see on homework, quizzes, and the next unit in this grade.

Teachers often move fast in class. This page is here so you can pause, re-read, and practice until the idea feels familiar, not just until you have memorized a rule for one day.

Common mistakes to avoid

Rushing to the answer without writing steps. Middle-school math rewards clear work, and you catch errors earlier when steps are visible.

Mixing up similar ideas from the same topic. If two terms feel alike, make a two-column note: what is the same, what is different, and one example of each.

Key ideas from this lesson

  1. Three common displays
  2. Picking one

Video walkthrough

Khan Academy

Histograms

Group numeric data into ranges and display as bars.

Watch on YouTube
Math Antics

Box and Whisker Plots

Summarize a data set with five key numbers.

Watch on YouTube

Practice

For each problem: write your work in the box, type your answer, and check it. If you are stuck, reveal the solution one step at a time. Do not skip straight to the final answer.

Exercise 1

Try it yourself

You surveyed 8 students on how many siblings they have: 0, 1, 1, 2, 2, 2, 3, 4. Which display shows every value clearly?

Step-by-step solution

  1. 1The data set is small.
  2. 2A dot plot shows each individual value well.

Exercise 2

Try it yourself

Test scores grouped into intervals 60–69, 70–79, 80–89, 90–100. Which graph shows frequency by interval?

Step-by-step solution

  1. 1Grouped numeric ranges use bins.
  2. 2A histogram is the best choice.

Exercise 3

Try it yourself

You want to compare the spread of homework time for boys vs. girls. Which display helps most?

Step-by-step solution

  1. 1Comparing two groups' spread suggests five-number summaries.
  2. 2Side-by-side box plots work well.

Exercise 4

Try it yourself

A pie chart shows favorite colors. Is this good for showing exact counts of a small class survey?

Step-by-step solution

  1. 1Pie charts show parts of a whole but make exact counts hard to read.
  2. 2A dot plot or bar graph is better for exact counts in a small set.

Exercise 5

Try it yourself

Daily temperatures for 30 days need to be summarized by week. Name the best display and why.

Step-by-step solution

  1. 1Grouping many values into ranges (weekly bins) fits a histogram.
  2. 2Histograms show how many days fell in each temperature interval.

Quick check

Answer all questions. Retake the quiz until you feel confident before moving on.

Choosing the Right Display

Question 1 of 4

Medium

Which display is best for showing the frequency of test-score ranges?

1-on-1 tutoring

Stuck on something specific?

Adam & Alan can walk through it live. Your first session is free for new clients.

Book a tutoring session