Certainly! Let's break down the solution step-by-step to determine the amount of fertilizer that should be added to achieve the best plant growth.
1. Given Data Collections:
- Control (No Fertilizer): 6 inches (Trial 1), 7 inches (Trial 2)
- 20 grams: 9 inches (Trial 1), 10 inches (Trial 2)
- 30 grams: 11 inches (Trial 1), 13 inches (Trial 2)
- 40 grams: 16 inches (Trial 1), 17 inches (Trial 2)
- 50 grams: 13 inches (Trial 1), 12 inches (Trial 2)
2. Calculate the average height for each condition:
- Control:
[tex]\[ \text{Average height} = \frac{6 + 7}{2} = 6.5 \text{ inches} \][/tex]
- 20 grams:
[tex]\[ \text{Average height} = \frac{9 + 10}{2} = 9.5 \text{ inches} \][/tex]
- 30 grams:
[tex]\[ \text{Average height} = \frac{11 + 13}{2} = 12.0 \text{ inches} \][/tex]
- 40 grams:
[tex]\[ \text{Average height} = \frac{16 + 17}{2} = 16.5 \text{ inches} \][/tex]
- 50 grams:
[tex]\[ \text{Average height} = \frac{13 + 12}{2} = 12.5 \text{ inches} \][/tex]
3. Compare the average heights to determine the best growth result:
- Control: 6.5 inches
- 20 grams: 9.5 inches
- 30 grams: 12.0 inches
- 40 grams: 16.5 inches
- 50 grams: 12.5 inches
The average height is highest when using 40 grams of fertilizer, which results in an average plant height of 16.5 inches.
4. Conclusion:
To achieve the best result, 40 grams of fertilizer should be added to the soil. This amount leads to the highest average plant height of 16.5 inches.
