The Shake Out Earthquake Scenario is based on a magnitude 7.8 earthquake and serve as the basis for California's annual Great Shake Out Drill. In the context of the magnitudes considered here, is that magnitude significantly high or significantly low? Explain and show how you came to your concl

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The Shake Out Earthquake Scenario is based on a magnitude 7.8 earthquake and serve as the basis for California's annual Great Shake Out Drill. In the context of the magnitudes considered here, is that magnitude significantly high or significantly low? Explain and show how you came to your conclusion.

### Histogram Analysis of Normal Distribution

#### Graph Description:
This image displays a histogram that represents the frequency distribution of a dataset. The bars of the histogram are in blue.

#### Key Features:
- **X-Axis**: Represents data values, ranging from approximately 1 to 4.
- **Y-Axis**: Represents the frequency of occurrences of the data values, going up to 120.
- **Mean**: The average value of the dataset is 2.5723.
- **Standard Deviation (SD)**: A measure of the spread of the dataset is 0.6505.
- **Red Curve**: A normal distribution curve is overlaid on the histogram, illustrating how the data approximates a normal distribution.

#### Analysis:
The histogram shows a distribution that captures how frequently each data value occurs within the specified range. The red curve indicates the theoretical normal distribution with the calculated mean and standard deviation, suggesting the data's adherence to or deviation from a normal distribution pattern.

This visualization is useful for understanding the key statistical properties of the dataset, including skewness, central tendency, and dispersion. The peak of the histogram and the overlaid curve suggest that the data is symmetrically distributed around the mean.
Transcribed Image Text:### Histogram Analysis of Normal Distribution #### Graph Description: This image displays a histogram that represents the frequency distribution of a dataset. The bars of the histogram are in blue. #### Key Features: - **X-Axis**: Represents data values, ranging from approximately 1 to 4. - **Y-Axis**: Represents the frequency of occurrences of the data values, going up to 120. - **Mean**: The average value of the dataset is 2.5723. - **Standard Deviation (SD)**: A measure of the spread of the dataset is 0.6505. - **Red Curve**: A normal distribution curve is overlaid on the histogram, illustrating how the data approximates a normal distribution. #### Analysis: The histogram shows a distribution that captures how frequently each data value occurs within the specified range. The red curve indicates the theoretical normal distribution with the calculated mean and standard deviation, suggesting the data's adherence to or deviation from a normal distribution pattern. This visualization is useful for understanding the key statistical properties of the dataset, including skewness, central tendency, and dispersion. The peak of the histogram and the overlaid curve suggest that the data is symmetrically distributed around the mean.
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