Same data, different representations

Name:

Date:

Class:

Quick Questions

Shade in the A or B circle for each question.

1. A class collects data on favourite fruit. Which shows the same data in a different way?

A Showing it as a table and then as a column chart

B Changing the votes so the chart looks bigger

2. You want to see exact numbers for every student's spelling score. Which is the best choice?

A A pie chart with no labels

B A table

3. You want to quickly show which pet is the MOST popular in your class. Which works best?

A A long paragraph of text

B A column chart

4. A sign at the pool shows a picture of a person swimming with a red line through it. What is this an example of?

A A symbol that shows information without words

B A table that stores exact numbers

5. You are making a weather app for Prep students who are just learning to read. Which is the better way to show a rainy day?

A A cloud icon with raindrops

B The text 'Precipitation probability: 80%'

Match the Pairs

Draw a line connecting each item on the left to its match on the right.

Left column		Right column
1Table: Mon 3, Tue 5, Wed 2		AAn icon cannot show exact values, so this is the wrong representation for the purpose. A table would show the exact scores.
2Bar chart: Mon ▇▇▇ Tue ▇▇▇▇▇ Wed ▇▇		B☀ = sunny, ☂ = rainy, ☁ = cloudy
3A symbol or icon can stand for data so that young children or visitors can understand it quickly		CAudience: Prep class → use pictures. Audience: Maths teacher → use a table
4Choose the representation that best suits your purpose and your audience		DShows exact numbers in rows and columns so people can look up each value
5Showing 200 exact scores using only a tiny icon		EShows the same numbers as bars so you can compare sizes at a glance
6Using a long table of numbers to show a Prep class which pet is most popular		FA long table is hard for young children to read. A picture graph or a simple chart suits this audience better.

Definitions

data representation

Fill in the Blanks

Complete each line of code by filling in the missing parts.

# Show exact numbers in rows and columns represent(pets, _____)

# Compare which pet is most popular represent(votes, _____)

audience = "Prep class" represent(votes, _____)

if goal __ "exact numbers": represent(data, table)

data = [5, 8, 3] table(data) chart(____)

Spot the Error

Shade in the letter of the line that contains an error.

Question 1

A Data: Mon 20, Tue 22, Wed 25

B Show it: pie chart over time

C Title: Daily temperature

Question 2

A Data: Cats 5, Dogs 8, Fish 3

B Table row 1: Cats | 5

C Table row 2: Dogs | 3

D Table row 3: Fish | 3

Question 3

A Weather data: Sunny, Rainy

B Icon for Sunny: sun

C Icon for Rainy: sun

D Icons help young readers

Question 4

A Audience: Prep students

B Data: favourite fruits

C Show it: picture graph

D Use: tiny text and long tables

Question 5

A A table shows data in circles

B A chart shows data visually

C Both can show the same data

Answer Key

Same data, different representations

Section A: Quick Questions

A — Showing it as a table and then as a column chart

B — A table

B — A column chart

A — A symbol that shows information without words

A — A cloud icon with raindrops

Section B: Match the Pairs

Table: Mon 3, Tue 5, Wed 2 → Shows exact numbers in rows and columns so people can look up each value

Bar chart: Mon ▇▇▇ Tue ▇▇▇▇▇ Wed ▇▇ → Shows the same numbers as bars so you can compare sizes at a glance

A symbol or icon can stand for data so that young children or visitors can understand it quickly → ☀ = sunny, ☂ = rainy, ☁ = cloudy

Choose the representation that best suits your purpose and your audience → Audience: Prep class → use pictures. Audience: Maths teacher → use a table

Showing 200 exact scores using only a tiny icon → An icon cannot show exact values, so this is the wrong representation for the purpose. A table would show the exact scores.

Using a long table of numbers to show a Prep class which pet is most popular → A long table is hard for young children to read. A picture graph or a simple chart suits this audience better.

Section C: Definitions

data representation — A way of showing the same data, such as a table, list, picture, symbol or chart. You choose the one that best suits your purpose and your audience.

Section D: Fill in the Blanks

# Show exact numbers in rows and columns
represent(pets, table)

# Compare which pet is most popular
represent(votes, chart)

audience = "Prep class"
represent(votes, icons)

if goal == "exact numbers":
    represent(data, table)

data = [5, 8, 3]
table(data)
chart(data)

Section E: Spot the Error

B — A pie chart shows parts of a whole, not change over time. A line chart is the right choice for temperatures across days.

C — The data says Dogs 8, so the table row must show 8. A table has to show the same data as the original list.

C — A sun icon means sunny weather. Rainy should use a raincloud icon so the symbol matches the data.

D — Young students find big icons and few words easiest to read. Tiny text and long tables don't suit this audience.

A — A table shows data in rows and columns, not circles. The line should say: A table shows data in rows.