Problem Description:
The task involves creating a
line plot using the given data. A line plot is a graphical representation of data where each piece of data is marked with an "X" above a number line.
#### Data Provided:
1.
Lengths of Ropes:
- 4 inches
- 5 inches
- 3 inches
- 5 inches
- 1 inch
- 6 inches
2.
Lengths of Crayons:
- 2 cm
- 4 cm
- 3 cm
- 6 cm
- 3 cm
- 5 cm
- 3 cm
#### Objective:
- Create a line plot for the lengths of crayons using the provided data.
---
Solution:
#### Step 1: Understand the Structure of a Line Plot
A line plot consists of:
1. A number line that represents the range of values in the data.
2. An "X" placed above each value on the number line to represent the frequency of that value.
#### Step 2: Analyze the Data for Lengths of Crayons
The lengths of the crayons are:
- 2 cm, 4 cm, 3 cm, 6 cm, 3 cm, 5 cm, 3 cm
#### Step 3: Determine the Range of Values
The lengths of the crayons range from
2 cm to
6 cm. Therefore, the number line should include these values.
#### Step 4: Count the Frequency of Each Value
-
2 cm: Appears
1 time
-
3 cm: Appears
3 times
-
4 cm: Appears
1 time
-
5 cm: Appears
1 time
-
6 cm: Appears
1 time
#### Step 5: Draw the Line Plot
1. Draw a horizontal number line and label it with the values from 2 to 6 (in centimeters).
2. For each length, place an "X" above the corresponding value on the number line. The number of "X"s above a value represents its frequency.
#### Final Line Plot:
```
Length of Crayons (cm)
----------------------
| X | 2 cm
| X | 3 cm
| X | 4 cm
| X | 5 cm
| X | 6 cm
```
Visually, this can be represented as:
```
2 | X
3 | XXX
4 | X
5 | X
6 | X
```
---
Explanation:
- The number line is labeled with the possible lengths of the crayons (2 cm to 6 cm).
- Each "X" above a value represents one occurrence of that length.
- The frequency of each length is clearly shown by the number of "X"s above it.
---
Final Answer:
The line plot for the lengths of crayons is:
```
Length of Crayons (cm)
----------------------
| X | 2 cm
| X | 3 cm
| X | 4 cm
| X | 5 cm
| X | 6 cm
```
$$
\boxed{
\text{Line Plot:}
\begin{array}{c|cccccc}
\text{Length (cm)} & 2 & 3 & 4 & 5 & 6 \\
\hline
\text{Frequency} & X & XXX & X & X & X \\
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of line plots worksheet.