Question

joel measures the heights of some plants. the heights of the plants, in feet, are (\frac{2}{4}), (1), (\frac{1}{4}), (\frac{2}{4}), (\frac{3}{4}), and (1). which line plot correctly shows joel’s data?

Explanation:

Step1: List the data points

The plant heights (in feet) are $\frac{2}{4}$, $1$, $\frac{1}{4}$, $\frac{2}{4}$, $\frac{3}{4}$, and $1$. Let's count the frequency of each:

• $\frac{1}{4}$: 1 time
• $\frac{2}{4}$: 2 times
• $\frac{3}{4}$: 1 time
• $1$: 2 times

Step2: Analyze each line plot

• Top - Left Plot: Check the number of X's at each mark. At $\frac{1}{4}$: 1, $\frac{2}{4}$: 2, $\frac{3}{4}$: 1, $1$: 2. This matches our frequency count.
• Top - Right Plot: The number line is reversed (labels are reversed), so it's incorrect.
• Bottom - Left Plot: The number line has incorrect labels (extra marks), so it's incorrect.
• Bottom - Right Plot: Missing X's for $\frac{3}{4}$ and $1$ (only 1 X at $1$), so it's incorrect.

Answer:

The Top - Left Graph