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Grade 5 (age 10-11)

grade 5 Data Representation

Data Representation

Data representation puts surveyed numbers into a table or a graph so the shape of the set is easy to read. Bars compare sizes, a strip or pie graph shows ratios, and a line graph shows change. Meal satisfaction and class hobbies split by kind read best as parts of a whole at 100 percent. Move the sliders and the same data splits across a strip graph and a pie graph.

Represent data in many ways

📊 Same data, different look
①This page draws only a strip graph and a pie graph. The same slider values split both ways
②A bar graph compares sizes; a line graph joins points to show change over time. Neither is drawn here
③Pick the graph that fits the question

Strip Graph

20
15
10
5
📏 Strip Graph Features
①Whole shown as one strip (bar)
②Compare ratios at a glance
③The whole is always 100%!

Pie Chart

🍰 Pie Chart Features
①Whole shown as a circle
②Each part is a sector by ratio
③Easy to see what fraction each item is

Summary

Bar Graph
Best for comparing sizes
Quickly see which is largest/smallest
Pie / Strip Graph
Best for ratios
Shows each part of the whole
Line Graph
Best for change over time
Shows how things change over time
🎯 Key Points
①Pick the graph by purpose
②Ratio → pie/strip
③Compare sizes → bar
④Change → line
⑤Percentages always sum to 100%

Examples and Unit Test

Example 1
Which graph is best for showing each item as a ratio of the whole?
1
Bar graphs compare sizes; line graphs show trends of change.
2
For ratios of the whole, a pie chart (or strip graph) is best.
▸ Pie chart (or strip graph)
Ratio → pie/strip, size comparison → bar, trend → line graph.
Example 2
On a strip graph: Very Good 40%, Good 30%, Average 20%. What percent is Poor?
1
On a percentage strip graph, all items always sum to 100%.
2
100 − 40 − 30 − 20 = 10, so Poor is 10%.
▸ 10%
On a percentage graph, all the item ratios always add up to 100%.
Unit Test
Which graph is best for showing temperature change over time?
①pie chart
②line graph
③strip graph
④pictograph
▸ ② line graph
1
To show a trend, a graph that connects points with lines is best.
2
For change over time, a line graph is the most suitable.
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Patterns and Correspondence
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Fraction Division