Line Plots with Fractional Data

Sometimes, when we measure objects, they don't line up perfectly with whole numbers. Instead, they measure in fractions like halves, fourths, or eighths of an inch. We can use a line plot to organize and show this fractional data.

What is a Line Plot?

A line plot is a graph that shows data along a number line. Each piece of data is represented by an "X" placed above its value on the line. When we use fractional data, the number line is marked with fractions instead of just whole numbers.

How to Create a Line Plot with Fractions

Let's say you measured the lengths of five small twigs in inches and got these results: $\frac{1}{4}$, $\frac{1}{2}$, $\frac{1}{4}$, $\frac{3}{4}$, $\frac{1}{2}$

Here is how you make a line plot for this data:

1. Draw a number line: Since our data is in fourths and halves, draw a number line from $0$ to $1$ and mark it in fourths: $0$, $\frac{1}{4}$, $\frac{2}{4}$ (which is the same as $\frac{1}{2}$), $\frac{3}{4}$, and $1$.
2. Plot the data: For every measurement in your list, draw an "X" above that number on the number line.
   • You have two $\frac{1}{4}$ measurements, so draw two "X"s stacked above $\frac{1}{4}$.
   • You have two $\frac{1}{2}$ measurements, so draw two "X"s stacked above $\frac{1}{2}$.
   • You have one $\frac{3}{4}$ measurement, so draw one "X" above $\frac{3}{4}$.

How to Read a Line Plot

Reading a line plot is just a matter of counting the "X"s!

Example Question: How many twigs measured $\frac{1}{2}$ inch?

To find the answer, look at the $\frac{1}{2}$ mark on your number line. Count the number of "X"s stacked directly above it. Because there are 2 "X"s above $\frac{1}{2}$, the answer is 2 twigs.