76. Big sharks Here are the lengths (in feet) of 44 great white sharks:3 18.7 12.3 18.6 16.4 15.7 18.3 14.6 15.8 14.9 17.6 12.1 16.4 16.7 17.8 16.2 12.6 17.8 13.8 12.2 15.2 14.7 12.4 13.2 15.8 14.3 16.6 9.4 18.2 13.2 13.6 15.3 16.1 13.5 19.1 16.2 22.8 16.8 13.6 13.2 15.7 19.7 18.7 13.2 16.8 A dotplot of the data and summary statistics are shown below. Is this distribution of shark length matoly Normol2 Lustifu

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### Big Sharks: Analysis of Great White Shark Lengths

#### Length Data (in feet) of 44 Great White Sharks:
- 18.7, 12.3, 18.6, 16.4, 15.7, 18.3, 14.6, 15.8, 14.9, 17.6, 12.1
- 16.4, 16.7, 17.8, 16.2, 12.6, 17.8, 13.8, 12.2, 15.2, 14.7, 12.4
- 13.2, 15.8, 14.3, 16.6, 9.4, 18.2, 13.2, 13.6, 15.3, 16.1, 13.5
- 19.1, 16.2, 22.8, 16.8, 13.6, 13.2, 15.7, 19.7, 18.7, 13.2, 16.8

#### Summary Statistics:
- Number of Sharks (n): 44
- Mean Length: 15.586 ft
- Standard Deviation (SD): 2.55 ft
- Minimum Length: 9.4 ft
- First Quartile (Q1): 13.55 ft
- Median Length: 15.75 ft
- Third Quartile (Q3): 17.2 ft
- Maximum Length: 22.8 ft

### Dotplot Analysis:
The dotplot below represents the distribution of shark lengths. It provides a visual summary of the data:

- **X-Axis (Length in feet):** Ranges from 8 to 22.
- **Dots:** Each dot represents a single shark's length, showing the frequency of each measurement.

### Analyzing Normality:
To determine if the shark length distribution is approximately normal, consider the 68-95-99.7 rule:

1. **68% of Data:** Falls within one standard deviation (13.036 to 18.136 ft, suggested by ±2.55 ft from the mean).
2. **95% of Data:** Expected within two standard deviations (10.486 to 20.686 ft).
3
Transcribed Image Text:### Big Sharks: Analysis of Great White Shark Lengths #### Length Data (in feet) of 44 Great White Sharks: - 18.7, 12.3, 18.6, 16.4, 15.7, 18.3, 14.6, 15.8, 14.9, 17.6, 12.1 - 16.4, 16.7, 17.8, 16.2, 12.6, 17.8, 13.8, 12.2, 15.2, 14.7, 12.4 - 13.2, 15.8, 14.3, 16.6, 9.4, 18.2, 13.2, 13.6, 15.3, 16.1, 13.5 - 19.1, 16.2, 22.8, 16.8, 13.6, 13.2, 15.7, 19.7, 18.7, 13.2, 16.8 #### Summary Statistics: - Number of Sharks (n): 44 - Mean Length: 15.586 ft - Standard Deviation (SD): 2.55 ft - Minimum Length: 9.4 ft - First Quartile (Q1): 13.55 ft - Median Length: 15.75 ft - Third Quartile (Q3): 17.2 ft - Maximum Length: 22.8 ft ### Dotplot Analysis: The dotplot below represents the distribution of shark lengths. It provides a visual summary of the data: - **X-Axis (Length in feet):** Ranges from 8 to 22. - **Dots:** Each dot represents a single shark's length, showing the frequency of each measurement. ### Analyzing Normality: To determine if the shark length distribution is approximately normal, consider the 68-95-99.7 rule: 1. **68% of Data:** Falls within one standard deviation (13.036 to 18.136 ft, suggested by ±2.55 ft from the mean). 2. **95% of Data:** Expected within two standard deviations (10.486 to 20.686 ft). 3
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