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brian’s class measured the lengths of 10 leaves. draw a dot plot for th…

Question

brian’s class measured the lengths of 10 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\frac{1}{4}\\) \\(3\frac{2}{4}\\) \\(3\frac{2}{4}\\) \\(3\frac{3}{4}\\) 4 \\(4\frac{1}{4}\\) \\(4\frac{1}{4}\\) \\(4\frac{2}{4}\\) \\(4\frac{2}{4}\\) \\(4\frac{2}{4}\\)

Explanation:

Step1: Tally each leaf length

Count occurrences of each value:

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

Step2: Plot dots on the number line

Place dots above each matching value, equal to its tally.

  • Above $3\frac{1}{4}$: •
  • Above $3\frac{2}{4}$: • •
  • Above $3\frac{3}{4}$: •
  • Above $4$: •
  • Above $4\frac{1}{4}$: • •
  • Above $4\frac{2}{4}$: • • •

Answer:

The completed dot plot has:

  • 1 dot above $3\frac{1}{4}$
  • 2 dots above $3\frac{2}{4}$
  • 1 dot above $3\frac{3}{4}$
  • 1 dot above $4$
  • 2 dots above $4\frac{1}{4}$
  • 3 dots above $4\frac{2}{4}$

(Visual representation on the provided number line with the dot counts as listed)