Make Your Own Bar Graph worksheet - Free Printable

Let’s solve this step by step.

We are told to “Move the squares to make a bar graph.” That means we need to take the colored squares from the bottom and stack them up in the grid above — one column per color — to form bars. Each square represents 1 unit of height.

First, let’s count how many squares there are of each color at the bottom:

Looking at the two rows of colored squares at the bottom:

Top row (left to right):
Pink, Red, Green, Pink, Blue, Yellow, Pink, Green, Brown

Bottom row (left to right):
Green, Brown, Blue, Red, Pink, Brown, Blue, Pink, Green

Now let’s tally each color:

- Pink: Top row has 3 (positions 1, 4, 7), Bottom row has 2 (positions 5, 8) → Total = 5
- Red: Top row has 1 (position 2), Bottom row has 1 (position 4) → Total = 2
- Green: Top row has 2 (positions 3, 8), Bottom row has 3 (positions 1, 9, and also position 9 is green? Wait — let’s list carefully.)

Wait — better to go slowly and count each color one by one.

List all 18 squares (2 rows × 9 columns):

Row 1:
1. Pink
2. Red
3. Green
4. Pink
5. Blue
6. Yellow
7. Pink
8. Green
9. Brown

Row 2:
1. Green
2. Brown
3. Blue
4. Red
5. Pink
6. Brown
7. Blue
8. Pink
9. Green

Now count:

- Pink: Row1: positions 1,4,7 → 3; Row2: positions 5,8 → 2 → Total = 5
- Red: Row1: pos2 → 1; Row2: pos4 → 1 → Total = 2
- Green: Row1: pos3,8 → 2; Row2: pos1,9 → 2 → Wait, pos9 in row2 is green? Yes. Also pos3 in row2? No — row2 pos3 is blue. Let me recheck row2:

Row2:
1. Green
2. Brown
3. Blue
4. Red
5. Pink
6. Brown
7. Blue
8. Pink
9. Green → So greens at pos1 and pos9 → that’s 2 in row2. Plus row1 pos3 and pos8 → 2 more. Total Green = 4

Wait — I think I missed one. Let me write all greens:

Row1: pos3 (green), pos8 (green) → 2
Row2: pos1 (green), pos9 (green) → 2
Total Green = 4

But wait — look again at row2 pos9 — yes, it’s green. And row1 pos3 and pos8 — yes. So 4 greens.

But earlier I thought maybe 5? Let me double-check total squares: 18 squares.

Let’s do full count:

Color counts:

- Pink: Row1: 1,4,7 → 3; Row2: 5,8 → 2 → total 5
- Red: Row1: 2 → 1; Row2: 4 → 1 → total 2
- Green: Row1: 3,8 → 2; Row2: 1,9 → 2 → total 4
- Blue: Row1: 5 → 1; Row2: 3,7 → 2 → total 3
- Yellow: Row1: 6 → 1; Row2: none → total 1
- Brown: Row1: 9 → 1; Row2: 2,6 → 2 → total 3

Now add them up: 5 (pink) + 2 (red) + 4 (green) + 3 (blue) + 1 (yellow) + 3 (brown) = 18 → Correct!

So now we know how tall each bar should be:

- Pink: 5 squares high
- Red: 2 squares high
- Green: 4 squares high
- Blue: 3 squares high
- Yellow: 1 square high
- Brown: 3 squares high

In the grid above, there are 6 columns. The bottom row already has one square of each color placed — but those are just starting points. We need to move ALL the squares from the bottom into the grid to build the bars.

Actually, looking back at the image: the bottom row of the grid (row 8 if we count from top) already has one square of each color — blue, brown, red, pink, yellow, green — in that order left to right.

That suggests that the six columns correspond to these six colors, in this order:

Column 1: Blue
Column 2: Brown
Column 3: Red
Column 4: Pink
Column 5: Yellow
Column 6: Green

And we have extra squares below that we need to stack on top of these to make the bars reach the correct heights.

So for each column, we start with 1 square already placed (the base), and we need to add more squares on top to reach the total count.

Let’s calculate how many additional squares to add per column:

- Column 1 (Blue): total needed = 3, already have 1 → add 2 more
- Column 2 (Brown): total needed = 3, already have 1 → add 2 more
- Column 3 (Red): total needed = 2, already have 1 → add 1 more
- Column 4 (Pink): total needed = 5, already have 1 → add 4 more
- Column 5 (Yellow): total needed = 1, already have 1 → add 0 more
- Column 6 (Green): total needed = 4, already have 1 → add 3 more

Now check: total added squares = 2+2+1+4+0+3 = 12

Total squares available to move: originally 18 squares at bottom, minus the 6 already placed in the grid = 12 → matches! Perfect.

So the final bar graph will have:

- Column 1 (Blue): 3 squares high
- Column 2 (Brown): 3 squares high
- Column 3 (Red): 2 squares high
- Column 4 (Pink): 5 squares high
- Column 5 (Yellow): 1 square high
- Column 6 (Green): 4 squares high

We don’t need to draw it — the task is to understand how to arrange them. But since the question says “solve the problem”, and it’s about moving squares to make the bar graph, the solution is knowing how many squares go in each column.

Final Answer:
The bar graph should have bars of the following heights from left to right:
Blue: 3, Brown: 3, Red: 2, Pink: 5, Yellow: 1, Green: 4