Data & Graphs

Problem

Find the value of one grid square

A bar graph shows how many of 46 fourth-graders most admire each of four figures, but the vertical scale has no numbers. The bars are 8, 7, 3, and 5 grid squares tall (Lincoln, Washington, Franklin, Tubman). Find how many students one grid square stands for, then find how many admire Lincoln.
Most-Admired Historical Figure (students) 0 Lincoln Washington Franklin Tubman
Measurement & data
Your answer
students
How to solve
Strategy Analyze the Units — The key is the unit 'students per square'. Total squares correspond to total students, so dividing 46 by the total squares gives the value of one square, which then scales the Lincoln bar.
1STEP 1

Add up all the grid squares

Sum the heights of all four bars to get the total number of grid squares used.

8 + 7 + 3 + 5 = 23
2STEP 2

Find students per square

Those 23 squares represent all 46 students, so one square represents 46 divided by 23.

46 ÷ 23 = 2
3STEP 3

Scale the Lincoln bar

Lincoln's bar is 8 squares tall, and each square is worth 2 students, so multiply.

8 × 2 = 16
Answer
16 students
8 × 2 = 16
Checking all bars at 2 per square: 16 + 14 + 6 + 10 = 46, matching the total, so the value-per-square and the Lincoln count are correct.
Takeaway

This only needs Grade 3 division: share the total over all the squares to learn what one square is worth!

  • Add up all the grid squares
  • Find students per square
  • Scale the Lincoln bar
Where next?
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