draw 8 lines that are between 1 inch and 3 inches long measures each line to the nearest fourth inch and make a line plot
The correct answer and explanation is:
Here’s how we’ll complete the task:
Step 1: Draw and Measure 8 Lines (to the Nearest 1/4 Inch)
Let’s assume you have drawn 8 lines that fall between 1 inch and 3 inches in length, and measured each to the nearest 1/4 inch:
| Line Number | Length (in inches) |
|---|---|
| Line 1 | 1 ¼ |
| Line 2 | 2 ½ |
| Line 3 | 2 ¼ |
| Line 4 | 1 ½ |
| Line 5 | 2 ¾ |
| Line 6 | 1 ¼ |
| Line 7 | 2 ½ |
| Line 8 | 1 ¾ |
Step 2: Make a Line Plot
Below is a line plot showing the frequency of each measurement (measured to the nearest 1/4 inch):
Length (in inches) X = 1 line
1 ¼ | X X
1 ½ | X
1 ¾ | X
2 ¼ | X
2 ½ | X X
2 ¾ | X
Step 3: Explanation (300 Words)
A line plot is a simple graph that displays data along a number line. It is especially helpful when showing measurements that fall into specific intervals, such as quarters of an inch.
In this task, 8 lines were drawn, each measured between 1 inch and 3 inches in length. All measurements were taken to the nearest 1/4 inch, which includes fractional lengths like 1 ¼, 1 ½, and so on.
After measuring, the data was recorded and then grouped by each distinct length. The line plot was created by placing an ‘X’ for each line that had that measurement. For example, two lines measured 1 ¼ inches, so “1 ¼” has two Xs above it. This allows us to visually see the distribution of lengths.
From the plot, we can conclude:
- 1 ¼ inches and 2 ½ inches are the most common lengths (each appeared twice).
- Other lengths (like 1 ½, 1 ¾, 2 ¼, and 2 ¾) appeared once.
This exercise helps students improve their measurement skills, learn to work with fractions, and understand how data can be visually represented. Line plots are a great introduction to more complex types of graphs like histograms and bar charts. They are also useful in science labs, construction, and data collection tasks where precise measurement is important.