Answer :
To determine the height of the green bar in a relative frequency bar graph, we need to calculate the percentage of students who chose the green pattern as their favorite.
1. Understand the Total Sample Size:
- The sample size consists of 50 students, as indicated by the data.
2. Frequency of the Green Pattern:
- According to the table, the frequency of students who preferred the green pattern is 9.
3. Calculate the Relative Frequency:
- Relative frequency as a percentage is calculated by dividing the frequency of the category (green) by the total sample size and then multiplying by 100 to convert it into a percentage.
[tex]\[
\text{Relative Frequency (\%)} = \left( \frac{\text{Frequency of Green}}{\text{Total Sample Size}} \right) \times 100
\][/tex]
[tex]\[
\text{Relative Frequency (\%)} = \left( \frac{9}{50} \right) \times 100 = 18\%
\][/tex]
4. Interpret the Result:
- The calculated relative frequency for the green bar is 18%. Therefore, on the relative frequency bar graph, the height of the green bar would represent 18%.
5. Select the Correct Option:
- Out of the options provided (A. 18, B. 9, C. 15, D. 25), the correct height for the green bar is 18.
Therefore, the height of the green bar is 18%, so the answer is A. 18.
1. Understand the Total Sample Size:
- The sample size consists of 50 students, as indicated by the data.
2. Frequency of the Green Pattern:
- According to the table, the frequency of students who preferred the green pattern is 9.
3. Calculate the Relative Frequency:
- Relative frequency as a percentage is calculated by dividing the frequency of the category (green) by the total sample size and then multiplying by 100 to convert it into a percentage.
[tex]\[
\text{Relative Frequency (\%)} = \left( \frac{\text{Frequency of Green}}{\text{Total Sample Size}} \right) \times 100
\][/tex]
[tex]\[
\text{Relative Frequency (\%)} = \left( \frac{9}{50} \right) \times 100 = 18\%
\][/tex]
4. Interpret the Result:
- The calculated relative frequency for the green bar is 18%. Therefore, on the relative frequency bar graph, the height of the green bar would represent 18%.
5. Select the Correct Option:
- Out of the options provided (A. 18, B. 9, C. 15, D. 25), the correct height for the green bar is 18.
Therefore, the height of the green bar is 18%, so the answer is A. 18.
