Marvin's Tree Service purchased several spruce tree saplings.
The heights of the saplings are shown in the table. Which line plot represents the data correctly?
A data set titled
A.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 5 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
B.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 3 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
C.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
D.
A line plot titled “Heights of Tree Saplings” shows a number line labeled “Height in inches” from 26 to 28 in intervals of one fourth. 26 and one fourth has 1 dot. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
Based on the given information, the correct line plot would be option B as it accurately represents the given data set.
To determine which line plot represents the data correctly, we need to compare the given heights of the saplings with the dots on each line plot.
Let's analyze each line plot:
Option A:
- 26 and one half (26.5) has 3 dots.
- 26 and three fourths (26.75) has 3 dots.
- 27 has 2 dots.
- 27 and one fourth (27.25) has 5 dots.
- 27 and one half (27.5) has 6 dots.
- 27 and three fourths (27.75) has 2 dots.
Option B:
- 26 and one half (26.5) has 3 dots.
- 26 and three fourths (26.75) has 3 dots.
- 27 has 2 dots.
- 27 and one fourth (27.25) has 3 dots.
- 27 and one half (27.5) has 6 dots.
- 27 and three fourths (27.75) has 2 dots.
Option C:
- 26 and one half (26.5) has 3 dots.
- 26 and three fourths (26.75) has 3 dots.
- 27 has 2 dots.
- 27 and one fourth (27.25) has 4 dots.
- 27 and one half (27.5) has 6 dots.
- 27 and three fourths (27.75) has 2 dots.
Option D:
- 26 and one fourth (26.25) has 1 dot.
- 26 and one half (26.5) has 3 dots.
- 26 and three fourths (26.75) has 3 dots.
- 27 has 2 dots.
- 27 and one fourth (27.25) has 4 dots.
- 27 and one half (27.5) has 6 dots.
- 27 and three fourths (27.75) has 2 dots.
Comparing the given heights with the number of dots on each line plot, we find that Option C correctly represents the data.
To determine which line plot represents the data correctly, we need to compare the given data set with each line plot.
Let's analyze each line plot:
A. The line plot shows that 26 and one half has 3 dots, 26 and three fourths has 3 dots, 27 has 2 dots, 27 and one fourth has 5 dots, 27 and one half has 6 dots, and 27 and three fourths has 2 dots.
B. The line plot shows that 26 and one half has 3 dots, 26 and three fourths has 3 dots, 27 has 2 dots, 27 and one fourth has 3 dots, 27 and one half has 6 dots, and 27 and three fourths has 2 dots.
C. The line plot shows that 26 and one half has 3 dots, 26 and three fourths has 3 dots, 27 has 2 dots, 27 and one fourth has 4 dots, 27 and one half has 6 dots, and 27 and three fourths has 2 dots.
D. The line plot shows that 26 and one fourth has 1 dot, 26 and one half has 3 dots, 26 and three fourths has 3 dots, 27 has 2 dots, 27 and one fourth has 4 dots, 27 and one half has 6 dots, and 27 and three fourths has 2 dots.
Comparing the data set with each line plot, we find that the correct line plot is option C:
A line plot titled “Heights of Tree Saplings” shows a number line labeled "Height in inches" from 26 to 28 in intervals of one fourth. 26 and one half has 3 dots. 26 and three fourths has 3 dots. 27 has 2 dots. 27 and one fourth has 4 dots. 27 and one half has 6 dots. 27 and three fourths has 2 dots.
Therefore, the correct line plot is option C.