Data & Graphs

Problem

Complete a table from its graph and back

Junho's class surveyed favorite fruits, recording results in a table and a picture graph. The table shows apple 5, banana 3, and a total of 18, with tangerine and grape blank. The graph shows only the grape column, with 4 circles drawn, while the other columns are empty. 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
students
How to solve
Strategy Organize Information in More Ways — The graph supplies the grape value missing from the table, and the table's total supplies the tangerine value missing from the graph. Moving information between the two and using the total fills in everything.
1STEP 1

Read grapes from the graph

The grape column has 4 circles, so 4 students like grapes.

2STEP 2

Find tangerines using the total

Total 18 minus apple 5, banana 3, and grape 4 leaves tangerine 6.

18 − 5 − 3 − 4 = 6
3STEP 3

Complete the table and graph

Completed table: apple 5, tangerine 6, banana 3, grape 4 → sum 18 checks out.

5 + 6 + 3 + 4 = 18
Answer
6 students
18 − 5 − 3 − 4 = 6
Check — 5 + 6 + 3 + 4 = 18 matches the total.
Takeaway

A table and a graph show the same information in different ways. Carry a value read from one over to the other, then use the total to fill in the rest.

  • Grape = 4 circles on the graph → 4
  • Tangerine = 18 − 5 − 3 − 4 = 6
  • Completed table and graph: apple 5, tangerine 6, banana 3, grape 4
Where next?
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Step back and solidifysuggested

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