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Answer :
Below is a detailed explanation of how to create a line plot for the bamboo shoot data and how to choose an appropriate scale.
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Step 1. List the Data
The table shows 16 measurements. First, we convert the mixed numbers to decimals. The measurements are:
[tex]\[
94\frac{1}{2} = 94.5,\quad 94\frac{1}{4} = 94.25,\quad 93\frac{3}{4} = 93.75,\quad 94\frac{3}{4} = 94.75,\quad 95\frac{1}{4} = 95.25,\quad 95 = 95.0.
\][/tex]
Thus, reading row by row, the data are:
[tex]\[
\begin{array}{cccc}
94.5,\; 94.25,\; 93.75,\; 94.75,\\[1mm]
94.75,\; 95.0,\; 94.75,\; 95.25,\\[1mm]
94.5,\; 94.75,\; 94.75,\; 94.5,\\[1mm]
95.0,\; 94.75,\; 94.75,\; 95.0.
\end{array}
\][/tex]
──────────────────────────────
Step 2. Choose the X-axis Values
Since there are 16 measurements, you can label the x-axis with the measurement numbers [tex]$1, 2, 3, \dots, 16$[/tex]. Each number corresponds to the order in which the measurement appears.
──────────────────────────────
Step 3. Determine the Y-axis Scale
The heights range from the minimum value of [tex]$93.75$[/tex] to the maximum value of [tex]$95.25$[/tex]. To clearly display the small differences among the measurements, it is a good idea to use a narrow interval on the y-axis.
A common strategy is to add a small margin to these values. For example, using a lower limit of [tex]$93.5$[/tex] and an upper limit of [tex]$95.5$[/tex] gives a little extra room above and below the data:
[tex]\[
\text{Y-axis limits: } 93.5 \leq y \leq 95.5.
\][/tex]
──────────────────────────────
Step 4. Plot the Data
1. Plot the 16 data points with the measurement number on the x-axis and the height (in inches) on the y-axis.
2. Connect the points with lines to create a line plot.
3. Label the x-axis as "Measurement Number" and the y-axis as "Height (Inches)".
4. Include a grid if desired so that the small differences in height can be easily read.
In a diagram, the plot would show points near the [tex]$y$[/tex]-values of [tex]$93.75$[/tex] to [tex]$95.25$[/tex], with the x-axis running from 1 to 16 and the y-axis scaled from [tex]$93.5$[/tex] to [tex]$95.5$[/tex].
──────────────────────────────
Final Answer:
To construct the line plot of the bamboo shoot heights, follow these steps:
1. List the measurements in order:
[tex]$$94.5,\; 94.25,\; 93.75,\; 94.75,\; 94.75,\; 95.0,\; 94.75,\; 95.25,\; 94.5,\; 94.75,\; 94.75,\; 94.5,\; 95.0,\; 94.75,\; 94.75,\; 95.0.$$[/tex]
2. Use the measurement numbers 1 through 16 as the x-axis values.
3. Choose a y-axis scale that goes from [tex]$93.5$[/tex] to [tex]$95.5$[/tex] to provide a clear view of the small differences among the measurements.
4. Plot the points and connect them with lines:
- X-axis: Measurement Number (1 to 16)
- Y-axis: Height in inches
- Title: “Line Plot of Bamboo Shoot Heights”
- Labels: "Measurement Number" on the x-axis, "Height (Inches)" on the y-axis
This line plot effectively displays the data and clearly shows the variations in bamboo shoot heights.
──────────────────────────────
Step 1. List the Data
The table shows 16 measurements. First, we convert the mixed numbers to decimals. The measurements are:
[tex]\[
94\frac{1}{2} = 94.5,\quad 94\frac{1}{4} = 94.25,\quad 93\frac{3}{4} = 93.75,\quad 94\frac{3}{4} = 94.75,\quad 95\frac{1}{4} = 95.25,\quad 95 = 95.0.
\][/tex]
Thus, reading row by row, the data are:
[tex]\[
\begin{array}{cccc}
94.5,\; 94.25,\; 93.75,\; 94.75,\\[1mm]
94.75,\; 95.0,\; 94.75,\; 95.25,\\[1mm]
94.5,\; 94.75,\; 94.75,\; 94.5,\\[1mm]
95.0,\; 94.75,\; 94.75,\; 95.0.
\end{array}
\][/tex]
──────────────────────────────
Step 2. Choose the X-axis Values
Since there are 16 measurements, you can label the x-axis with the measurement numbers [tex]$1, 2, 3, \dots, 16$[/tex]. Each number corresponds to the order in which the measurement appears.
──────────────────────────────
Step 3. Determine the Y-axis Scale
The heights range from the minimum value of [tex]$93.75$[/tex] to the maximum value of [tex]$95.25$[/tex]. To clearly display the small differences among the measurements, it is a good idea to use a narrow interval on the y-axis.
A common strategy is to add a small margin to these values. For example, using a lower limit of [tex]$93.5$[/tex] and an upper limit of [tex]$95.5$[/tex] gives a little extra room above and below the data:
[tex]\[
\text{Y-axis limits: } 93.5 \leq y \leq 95.5.
\][/tex]
──────────────────────────────
Step 4. Plot the Data
1. Plot the 16 data points with the measurement number on the x-axis and the height (in inches) on the y-axis.
2. Connect the points with lines to create a line plot.
3. Label the x-axis as "Measurement Number" and the y-axis as "Height (Inches)".
4. Include a grid if desired so that the small differences in height can be easily read.
In a diagram, the plot would show points near the [tex]$y$[/tex]-values of [tex]$93.75$[/tex] to [tex]$95.25$[/tex], with the x-axis running from 1 to 16 and the y-axis scaled from [tex]$93.5$[/tex] to [tex]$95.5$[/tex].
──────────────────────────────
Final Answer:
To construct the line plot of the bamboo shoot heights, follow these steps:
1. List the measurements in order:
[tex]$$94.5,\; 94.25,\; 93.75,\; 94.75,\; 94.75,\; 95.0,\; 94.75,\; 95.25,\; 94.5,\; 94.75,\; 94.75,\; 94.5,\; 95.0,\; 94.75,\; 94.75,\; 95.0.$$[/tex]
2. Use the measurement numbers 1 through 16 as the x-axis values.
3. Choose a y-axis scale that goes from [tex]$93.5$[/tex] to [tex]$95.5$[/tex] to provide a clear view of the small differences among the measurements.
4. Plot the points and connect them with lines:
- X-axis: Measurement Number (1 to 16)
- Y-axis: Height in inches
- Title: “Line Plot of Bamboo Shoot Heights”
- Labels: "Measurement Number" on the x-axis, "Height (Inches)" on the y-axis
This line plot effectively displays the data and clearly shows the variations in bamboo shoot heights.
Thanks for taking the time to read Carol measures 16 bamboo shoots Her measurements are recorded in the table below tex begin tabular c c c c hline multicolumn 4 c Heights. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
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