Data & Graphs

Problem

Complete a table from its graph and back

A favorite-fruit survey is shown in both a table and a picture graph. The table gives apple 5, banana 3, total 18, with tangerine and grape blank. The graph shows only grape drawn with 4 circles. I must complete both the table and the graph.
Number of students by favorite fruit (table) Fruit Apple Tang. Banana Grape Students 5 3 Total 18 Number of students by favorite fruit (graph) 1 2 3 4 5 6 Students Fruit Apple Tang. Banana Grape
Measurement & data
Your answer
How to solve
Strategy Organize Information in More Ways — The graph supplies the grape value the table is missing, and the table's total supplies the tangerine value the graph is missing. Moving each fact between the two representations and using the total fills in everything.
1STEP 1

Read grapes from the graph

The grape column has 4 circles and one circle means one student, so 4 students like grapes.

2STEP 2

Find tangerines using the total

The four fruit counts add to 18, so subtract the known ones: 18 - 5 - 3 - 4 = 6 students like tangerines.

18 - 5 - 3 - 4 = 6
3STEP 3

Complete table and graph

Completed counts are apple 5, tangerine 6, banana 3, grape 4 (total 18); draw that many circles in each graph column.

5 + 6 + 3 + 4 = 18
Answer
Tangerine 6 and grape 4 (apple 5, banana 3, total 18).
18 - 5 - 3 - 4 = 6
The completed counts sum to 5 + 6 + 3 + 4 = 18, matching the given total, so the table and graph agree.
Takeaway

This only needs Grade 2 graph-reading and subtraction — let the table and graph fill in each other!

  • Read grapes from the graph
  • Find tangerines using the total
  • Complete table and graph
Where next?
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Step back and solidifysuggested

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