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Session 7

Comparing Two Groups

Grade 4 Data Science

Today's Big Question

When two different groups answer the same question, how can we show the comparison clearly — and what can we learn from the difference?

Double Bar Charts
Two Groups
Comparison Writing
Find the Story
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Hook

Two Classrooms, One Question

The Setup

Two fourth-grade classes were asked: "What is your favorite pet?"

Class A has 28 students. Class B has 34 students.
Both classes got to pick from: Dog · Cat · Fish · Bird · Other

Class A Results

  • Dog: 12   Cat: 7   Fish: 4
  • Bird: 3   Other: 2
  • Total: 28 students

Class B Results

  • Dog: 8   Cat: 11   Fish: 6
  • Bird: 5   Other: 4
  • Total: 34 students

→ Turn and talk: If we put these results into a single chart, what would it look like?

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Concept

What is a Double Bar Chart?

Definition

A double bar chart shows the same categories for two different groups side by side. Each category has two bars — one per group. A legend tells you which color belongs to which group.

Category
The item being compared — here, each type of pet
Legend
A key that shows what each color or pattern means
Double Bar
Two bars placed side by side for the same category
Comparison
Finding how two values are alike or different
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Chart Anatomy

Building a Double Bar Chart

1
Label X-axis with categories
2
Label Y-axis with counts (start at 0)
3
Draw two bars per category
4
Color code + add legend
5
Add title

Key Rules

• The two bars for the same category must be right next to each other
• Leave a gap between different categories
Always start Y-axis at zero — starting higher makes differences look bigger than they are
• The legend must match the exact colors you used

Class A (dark blue) Class B (light blue)
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Demo

Pet Preferences — Double Bar Chart

0 2 4 6 8 10 Dog Cat Fish Bird Other Class A Class B

→ What do you notice? What surprises you?

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Reading

What Does the Chart Tell Us?

Class A Findings

  • Dog is the clear favorite (12 students)
  • Cat comes second (7)
  • Bird and Other are least popular
  • Totals drop steeply after dogs

Class B Findings

  • Cat is the top choice (11 students)
  • Dog comes second (8)
  • Other is least popular (4)
  • More even spread across pets

The Interesting Comparison

Class A and Class B have opposite top choices: Class A loves dogs most, Class B loves cats most. This is called a reversal — the groups rank the same options differently.

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Activity 1

Build Your Own Double Bar Chart

Your Task (pairs · 14 min)

Use the data table on your worksheet to build a double bar chart for Class A and Class B pet preferences.

① Draw and label axes (X = pet, Y = number of students, 0–14)
② Draw Class A bars in dark blue
③ Draw Class B bars in light blue / teal
④ Add a legend and a title
⑤ Use a ruler — bars should be neat and even width

Tip

Draw all Class A bars first, then go back and add all Class B bars. That way you won't mix up which bar belongs to which group.

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Writing

How to Write a Comparison Statement

Sentence Frames

Use these frames to write about your chart:

Class A preferred ___ more than Class B — ___ students vs. ___ students.
Both classes chose ___ as one of their top options.
Class A had more ___ fans, whileClass B had more ___ fans.
The biggest difference between the classes was for ___, with a gap of ___ students.
The smallest gap between the two classes was for ___ (only ___ student(s) apart).
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Model

Modeled Comparison Sentences

Here are three complete sentences written from the pet preference chart. Study the structure.

Sentence 1 — Specific Comparison

"Class A preferred dogs more than Class B — 12 students vs. 8 students."

Sentence 2 — Using "While"

"Class A had the most dog fans, whileClass B had the most cat fans — showing the classes have opposite top choices."

Sentence 3 — Finding the Smallest Gap

"The smallest difference was for Bird — Class A had 3 students and Class B had 5, just 2 apart."

→ Notice: each sentence names the pet, states both numbers, and uses a comparison word.

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Activity 2

Write 3 Comparison Statements

Your Task (individual · 10 min)

Using your chart and the sentence frames on the board, write 3 comparison statements about the pet data. Each sentence must:

Name the specific pet category
Include the actual numbers from the chart
Use a comparison word: more than · less than · both · while · biggest · smallest

Challenge

Can you write one sentence that talks about the total difference across all categories combined? (Hint: add up all Class A numbers and all Class B numbers.)

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Deeper Thinking

Is This a Fair Comparison?

A Tricky Question

Class A has 28 students. Class B has 34 students.

When Class B has 11 cat fans and Class A has 7 cat fans, is Class B really that much more into cats — or is it just because Class B is bigger?

Cat as Fraction

  • Class A: 7 out of 28 = 1/4 = 25%
  • Class B: 11 out of 34 ≈ 32%
  • Class B is still more into cats, even accounting for size

Key Takeaway

  • When groups are different sizes, raw numbers can be misleading
  • Fractions or percentages make comparisons fairer
  • Good data scientists always check group sizes!
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Discussion

Discussion Questions

Question 1

If you combined both classes into one group, which pet would be most popular overall? Work it out with your partner. (Dog: 12+8=20 · Cat: 7+11=18 · Fish: 4+6=10 · Bird: 3+5=8 · Other: 2+4=6)

Question 2

What might explain why Class A loves dogs more and Class B loves cats more? What information would you want to collect to find out?

Question 3

A student says "double bar charts are just two charts stuck together." Is that correct? What can a double bar chart show that two separate charts cannot?

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Brain Break

Stand Up / Stay Seated

Pet Data Quick Fire

I'll call out a category. Stand up if Class A is higher. Stay seated if Class B is higher.

Dog… (stand — Class A wins 12 vs 8)
Cat… (sit — Class B wins 11 vs 7)
Fish… (sit — Class B wins 6 vs 4)
Bird… (sit — Class B wins 5 vs 3)
Other… (sit — Class B wins 4 vs 2)

Result: Class A only wins for one category (Dog). Class B is higher in all others!

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Real World

Double Bar Charts in Real Life

Where You See Them

  • Sports: home vs. away game scores by team
  • Science: plant growth in sun vs. shade
  • Health: exercise time on weekdays vs. weekends
  • Social: screen time for two age groups
  • School: test scores before and after studying

Why They Matter

  • One chart tells a richer story than two separate charts
  • Easier to spot where groups agree or disagree
  • Saves space and reading time
  • Used in business, science, and government reports
  • Critical skill for reading news graphics

Preview: Session 8

Next session is your Data Story Capstone! You'll collect your own data, organize it, build a chart, and write a complete data story. Start thinking about a question you'd like to investigate.

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Wrap Up

Session 7 Summary

Double bar charts show two groups side by side
Always add a legend and start Y-axis at zero
Comparison sentences use more/less/both/while
Check group sizes for fair comparisons

Exit Ticket

Write one sentence comparing the two classes for any pet category. Your sentence must include both numbers and one comparison word.

Grade 4 Data Science · Session 7 · sdabagh.github.io