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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 β€” and what can we learn from the difference?

πŸ“Š
Double Bar Charts
πŸ”΅πŸ©΅
Two Groups
✍️
Comparison Writing
πŸ”
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 Β· Cat Β· Fish Β· Bird Β· Other

πŸ”΅ 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

β†’ 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 β€” one per group. A legend tells you which color belongs to which group.

Category
The item being compared β€” 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

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

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

Pet Preferences β€” Double Bar Chart

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

β†’ 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 β€” the groups rank the same options differently.

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Activity 1

Build Your Own Double Bar Chart

Your Task (pairs Β· 14 min)

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

β‘  Draw and label axes (X = pet, Y = number of students, 0–14)
β‘‘ Draw Class A bars in dark blue
β‘’ Draw Class B bars in light blue / teal
β‘£ Add a legend and a title
β‘€ Use a ruler β€” 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 β€” ___ students vs. ___ students.
Both classes chose ___ as one of their top options.
Class A had more ___ fans, while Class 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 β€” Specific Comparison

"Class A preferred dogs more than Class B β€” 12 students vs. 8 students."

Sentence 2 β€” Using "While"

"Class A had the most dog fans, while Class B had the most cat fans β€” showing the classes have opposite top choices."

Sentence 3 β€” Finding the Smallest Gap

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

β†’ 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 Β· 10 min)

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

βœ“ Name the specific pet category
βœ“ Include the actual numbers from the chart
βœ“ Use a comparison word: more than Β· less than Β· both Β· while Β· biggest Β· 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 β€” 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 β‰ˆ 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 Β· Cat: 7+11=18 Β· Fish: 4+6=10 Β· Bird: 3+5=8 Β· 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 β€” Class A wins 12 vs 8)
Cat… (sit β€” Class B wins 11 vs 7)
Fish… (sit β€” Class B wins 6 vs 4)
Bird… (sit β€” Class B wins 5 vs 3)
Other… (sit β€” 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

πŸ“Š
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
βš–οΈ
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 Β· Session 7 Β· sdabagh.github.io