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
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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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