Based on the height data you've provided for plants growing in different sunlight conditions, we can perform a basic analysis comparing the growth of plants in full sunlight vs. those receiving less sunlight. Here’s a breakdown of the data and some key insights:
Data Summary
-
Full Sunlight Heights (in arbitrary units):
- 3.0
- 3.5
- 4.0
- 4.5
-
Less Sunlight Heights (in arbitrary units):
- 1.0
- 1.5
- 2.0
- 2.5
Descriptive Statistics
Full Sunlight
-
Mean Height: \[ \text{Mean} = \frac{3.0 + 3.5 + 4.0 + 4.5}{4} = \frac{15.0}{4} = 3.75 \]
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Median Height: The values are ordered as 3.0, 3.5, 4.0, 4.5. The median (average of the two middle values) is: \[ \text{Median} = \frac{3.5 + 4.0}{2} = \frac{7.5}{2} = 3.75 \]
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Range: \[ \text{Range} = 4.5 - 3.0 = 1.5 \]
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Standard Deviation: \[ \text{Variance} = \frac{(3.0-3.75)^2 + (3.5-3.75)^2 + (4.0-3.75)^2 + (4.5-3.75)^2}{4} = \frac{(0.5625) + (0.0625) + (0.0625) + (0.5625)}{4} = \frac{1.25}{4} = 0.3125 \] \[ \text{Standard Deviation} = \sqrt{0.3125} \approx 0.56 \]
Less Sunlight
-
Mean Height: \[ \text{Mean} = \frac{1.0 + 1.5 + 2.0 + 2.5}{4} = \frac{7.0}{4} = 1.75 \]
-
Median Height: The values are ordered as 1.0, 1.5, 2.0, 2.5. The median is: \[ \text{Median} = \frac{1.5 + 2.0}{2} = \frac{3.5}{2} = 1.75 \]
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Range: \[ \text{Range} = 2.5 - 1.0 = 1.5 \]
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Standard Deviation: \[ \text{Variance} = \frac{(1.0-1.75)^2 + (1.5-1.75)^2 + (2.0-1.75)^2 + (2.5-1.75)^2}{4} = \frac{(0.5625) + (0.0625) + (0.0625) + (0.5625)}{4} = \frac{1.25}{4} = 0.3125 \] \[ \text{Standard Deviation} = \sqrt{0.3125} \approx 0.56 \]
Comparative Analysis
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Height Comparison:
- The average height of plants in full sunlight (3.75) is significantly higher than that of those receiving less sunlight (1.75).
-
Growth Difference:
- The difference in mean heights between the two groups is: \[ 3.75 - 1.75 = 2.0 \text{ units} \]
-
Variability:
- Both groups show the same standard deviation (approximately 0.56), indicating similar variability in heights within each group.
Conclusion
From the data analysis, we can conclude that plants grown in full sunlight are, on average, significantly taller than those grown in less sunlight. This suggests that sunlight is a crucial factor in promoting plant growth. The similar variability in heights within both groups indicates that while sunlight greatly influences growth, other factors may also play a role but have less variable impact within the same sunlight conditions. Further investigation could include examining soil quality, water availability, and species type to gain a fuller understanding of plant growth dynamics.