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Sagot :
To determine the height of the green bar in a relative frequency bar graph, we need to convert the given frequency of the green pattern into a percentage relative to the total number of students surveyed.
Here’s the step-by-step process:
1. Identify the total number of students surveyed:
- Total number of students: [tex]\( 5011 \)[/tex]
2. Identify the frequency of the green bar:
- Frequency of the green pattern: [tex]\( 9 \)[/tex]
3. Calculate the relative frequency of the green pattern:
- This relative frequency is expressed as the percentage of students who identified green as their favorite pattern.
- The formula for relative frequency is [tex]\(\left(\frac{\text{Frequency}}{\text{Total number of students}}\right) \times 100\)[/tex]
4. Plug in the values:
[tex]\[ \left(\frac{9}{5011}\right) \times 100 \approx 0.1796\% \][/tex]
Therefore, the height of the green bar, when represented as a relative frequency in the bar graph, will be approximately [tex]\(0.1796\%\)[/tex].
Here’s the step-by-step process:
1. Identify the total number of students surveyed:
- Total number of students: [tex]\( 5011 \)[/tex]
2. Identify the frequency of the green bar:
- Frequency of the green pattern: [tex]\( 9 \)[/tex]
3. Calculate the relative frequency of the green pattern:
- This relative frequency is expressed as the percentage of students who identified green as their favorite pattern.
- The formula for relative frequency is [tex]\(\left(\frac{\text{Frequency}}{\text{Total number of students}}\right) \times 100\)[/tex]
4. Plug in the values:
[tex]\[ \left(\frac{9}{5011}\right) \times 100 \approx 0.1796\% \][/tex]
Therefore, the height of the green bar, when represented as a relative frequency in the bar graph, will be approximately [tex]\(0.1796\%\)[/tex].
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