Question

hongs class measured the lengths of 8 leaves.
draw a dot plot for the lengths of the leaves. (a dot plot is sometimes called a \line plot\.)
lengths of leaves (in inches)
3, 3, 3, 3, 3\frac{2}{4}, 3\frac{2}{4}, 4\frac{1}{4}, 4\frac{2}{4}
number line with labels: 3, 3\frac{1}{4}, 3\frac{2}{4}, 3\frac{3}{4}, 4, 4\frac{1}{4}, 4\frac{2}{4}, 4\frac{3}{4}, 5, labeled \lengths of leaves (in inches)\

Explanation:

Step1: Count occurrences of 3

We have four leaves with length 3. So we place 4 dots above the "3" on the number line.

Step2: Count occurrences of \( 3\frac{2}{4} \)

There are two leaves with length \( 3\frac{2}{4} \). So we place 2 dots above \( 3\frac{2}{4} \) on the number line.

Step3: Count occurrence of \( 4\frac{1}{4} \)

There is one leaf with length \( 4\frac{1}{4} \). So we place 1 dot above \( 4\frac{1}{4} \) on the number line.

Step4: Count occurrence of \( 4\frac{2}{4} \)

There is one leaf with length \( 4\frac{2}{4} \). So we place 1 dot above \( 4\frac{2}{4} \) on the number line.
(For the other values like \( 3\frac{1}{4},3\frac{3}{4},4,4\frac{3}{4},5 \) there are 0 occurrences, so no dots above them)

To visualize:

• Above "3": • • • •
• Above \( 3\frac{2}{4} \): • •
• Above \( 4\frac{1}{4} \): •
• Above \( 4\frac{2}{4} \): •
• Above \( 3\frac{1}{4},3\frac{3}{4},4,4\frac{3}{4},5 \): (no dots)

Answer:

The dot - plot is constructed by placing 4 dots above 3, 2 dots above \( 3\frac{2}{4} \), 1 dot above \( 4\frac{1}{4} \) and 1 dot above \( 4\frac{2}{4} \) on the given number line for leaf lengths.