Data and Graphing Worksheets for Grade 3 | Worsheets library - Free Printable

Problem Overview:

The task involves creating a bar graph based on the tally chart provided. The tally chart shows the number of different solid shapes John observed, and we need to represent this data visually using a bar graph.

Steps to Solve:

#### 1. Understand the Tally Chart:
- Each tally mark represents one occurrence of a shape.
- The tally chart uses groups of five (four vertical lines and one diagonal line crossing them).

Here is the breakdown of the tally marks for each shape:
- Cylinder: 8 tally marks
- Sphere: 7 tally marks
- Cube: 6 tally marks
- Pyramid: 9 tally marks
- Cone: 4 tally marks

#### 2. Count the Total for Each Shape:
- Cylinder: 8
- Sphere: 7
- Cube: 6
- Pyramid: 9
- Cone: 4

#### 3. Set Up the Bar Graph:
- The x-axis will represent the types of solid shapes.
- The y-axis will represent the number of occurrences (frequency).
- The y-axis should range from 0 to at least 10, as the highest frequency is 9.

#### 4. Draw the Bars:
- For each shape, draw a vertical bar whose height corresponds to the frequency count.
- Use the provided grid to ensure the bars are accurately scaled.

#### 5. Label the Graph:
- Label the x-axis with the names of the shapes: "cylinder," "sphere," "cube," "pyramid," and "cone."
- Label the y-axis with the numbers representing the frequency: 0, 1, 2, ..., 10.
- Add a title to the graph: "Solid Shapes."

Solution Explanation:

#### Step-by-Step Drawing Instructions:
1. X-Axis Labels:
- Place the labels "cylinder," "sphere," "cube," "pyramid," and "cone" evenly spaced along the x-axis.

2. Y-Axis Labels:
- Mark the y-axis with numbers from 0 to 10, ensuring equal spacing between each number.

3. Draw the Bars:
- For the cylinder, draw a bar reaching up to 8 on the y-axis.
- For the sphere, draw a bar reaching up to 7 on the y-axis.
- For the cube, draw a bar reaching up to 6 on the y-axis.
- For the pyramid, draw a bar reaching up to 9 on the y-axis.
- For the cone, draw a bar reaching up to 4 on the y-axis.

4. Final Touches:
- Ensure all bars are aligned with their respective labels on the x-axis.
- Make sure the heights of the bars accurately reflect the frequencies.

Final Answer:

The completed bar graph should look like this (described in words):

- Cylinder: A bar reaching up to 8.
- Sphere: A bar reaching up to 7.
- Cube: A bar reaching up to 6.
- Pyramid: A bar reaching up to 9.
- Cone: A bar reaching up to 4.

The final answer is represented by the completed bar graph, which visually displays the frequency of each solid shape.

$$
\boxed{\text{See the described bar graph above.}}
$$