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The table shows the magnitudes of the earthquakes that have occurred in the past 10 years. Use the frequency distribution to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness. Earthquake magnitude 5.0-5.9 6.0-6.9 7.0-7.9 8.0-8.9 9.0-9.9 Frequency 14 13. 8 4 1

The table shows the magnitudes of the earthquakes that have occurred in the past 10 years. Use the frequency distribution to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness. Earthquake magnitude 5.0-5.9 6.0-6.9 7.0-7.9 8.0-8.9 9.0-9.9 Frequency 14 13. 8 4 1

MATLAB: An Introduction with Applications
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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### Earthquake Magnitude and Frequency Analysis The following table illustrates the magnitudes of earthquakes that have occurred in the past 10 years and their frequencies. The data is used to construct a histogram and analyze the skewness of the distribution. | Earthquake Magnitude | Frequency | |----------------------|-----------| | 5.0-5.9 | 14 | | 6.0-6.9 | 13 | | 7.0-7.9 | 8 | | 8.0-8.9 | 4 | | 9.0-9.9 | 1 | #### Task Use the frequency distribution to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness. #### Construct the Histogram Choose the correct graph below: 1. **Graph A**: Shows equal frequency distribution across all bins. 2. **Graph B**: Indicates a higher frequency on the lower end of the magnitude scale, decreasing as magnitude increases. 3. **Graph C**: Displays increasing frequency as the magnitude increases. 4. **Graph D**: Exhibits a high frequency initially, with a gradual decrease as the magnitude increases. #### Selecting the Correct Graph Based on the data provided in the table, the correct histogram (Graph B) indicates: - High frequency for lower magnitudes (5.0-5.9 and 6.0-6.9). - Gradual decrease in frequency as the magnitude increases. #### Analysis of Skewness - **Chosen Histogram (Graph B)**: The histogram is right-skewed (or positively skewed), as the longer tail is on the right side of the distribution. #### Conclusion The histogram so the distribution of the data is **right-skewed (positively skewed)**. This implies that most earthquake magnitudes are clustered around the lower end, with fewer occurrences of higher magnitude earthquakes.
Transcribed Image Text:### Earthquake Magnitude and Frequency Analysis The following table illustrates the magnitudes of earthquakes that have occurred in the past 10 years and their frequencies. The data is used to construct a histogram and analyze the skewness of the distribution. | Earthquake Magnitude | Frequency | |----------------------|-----------| | 5.0-5.9 | 14 | | 6.0-6.9 | 13 | | 7.0-7.9 | 8 | | 8.0-8.9 | 4 | | 9.0-9.9 | 1 | #### Task Use the frequency distribution to construct a histogram. Does the histogram appear to be skewed? If so, identify the type of skewness. #### Construct the Histogram Choose the correct graph below: 1. **Graph A**: Shows equal frequency distribution across all bins. 2. **Graph B**: Indicates a higher frequency on the lower end of the magnitude scale, decreasing as magnitude increases. 3. **Graph C**: Displays increasing frequency as the magnitude increases. 4. **Graph D**: Exhibits a high frequency initially, with a gradual decrease as the magnitude increases. #### Selecting the Correct Graph Based on the data provided in the table, the correct histogram (Graph B) indicates: - High frequency for lower magnitudes (5.0-5.9 and 6.0-6.9). - Gradual decrease in frequency as the magnitude increases. #### Analysis of Skewness - **Chosen Histogram (Graph B)**: The histogram is right-skewed (or positively skewed), as the longer tail is on the right side of the distribution. #### Conclusion The histogram so the distribution of the data is **right-skewed (positively skewed)**. This implies that most earthquake magnitudes are clustered around the lower end, with fewer occurrences of higher magnitude earthquakes.
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