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height (feet) number of rose bushes \\(\\frac{1}{2}\\) 1 1 3 \\(1\\frac…

Question

height (feet) number of rose bushes
\\(\frac{1}{2}\\) 1
1 3
\\(1\frac{1}{2}\\) 2
3 2
which line plot represents the data?
a
rose bushes
x-axis from 0 to 3 with marks at \\(\frac{1}{2}\\), 1, \\(1\frac{1}{2}\\), 2, \\(2\frac{1}{2}\\), 3. at \\(\frac{1}{2}\\): 1 x; at 1: 3 xs; at \\(1\frac{1}{2}\\): 2 xs; at 3: 2 xs

Explanation:

Step1: Analyze each height's frequency

  • For height $\frac{1}{2}$ ft: 1 rose bush, so 1 'x' at $\frac{1}{2}$.
  • For height 1 ft: 3 rose bushes, so 3 'x's at 1.
  • For height $1\frac{1}{2}$ ft: 2 rose bushes, so 2 'x's at $1\frac{1}{2}$.
  • For height 3 ft: 2 rose bushes, so 2 'x's at 3.

Step2: Match with the line plot (A)

Check plot A:

  • At $\frac{1}{2}$: 1 'x' (matches).
  • At 1: 3 'x's (matches).
  • At $1\frac{1}{2}$: 2 'x's (matches).
  • At 3: 2 'x's (matches).

Answer:

A. The line plot labeled "Rose Bushes" with 1 'x' at $\frac{1}{2}$, 3 'x's at 1, 2 'x's at $1\frac{1}{2}$, and 2 'x's at 3.