se the magnitudes (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set. Is the magnitude of an earthquake measuring 7.0 on itlier (data value that is very far away from the others) when considered in the context of the sample data given in this data set? Explain. Click the icon to view the earthquake Richter scale data. nd the mean and median of the data set using a calculator or similar data analysis technology. he mean of the data set is 1573 Round to three decimal places as needed.) he median of the data set is $$ \square $$ Round to three decimal places as needed.)

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It appears that there's some confusion or missing information in your request, particularly regarding the dataset of earthquake magnitudes. To accurately calculate the **mean** and **median**, and determine whether a magnitude of **7.0** is an outlier, I need the specific list of earthquake magnitudes from your dataset.

However, I can guide you through the general steps to perform these calculations and assess outliers:

### 1. Calculating the Mean
The **mean** is the average of all data points in your dataset. To calculate it:

$$ \text{Mean} = \frac{\sum \text{(All earthquake magnitudes)}}{\text{Number of earthquakes}} $$

**Example:**
If your magnitudes are: 5.5, 6.0, 6.2, 5.8, 6.1

Mean = (5.5 + 6.0 + 6.2 + 5.8 + 6.1) / 5 = 29.6 / 5 = **5.92**

### 2. Calculating the Median
The **median** is the middle value when your data points are ordered from smallest to largest. If there's an even number of data points, it's the average of the two middle numbers.

**Example:**
Using the same magnitudes: 5.5, 5.8, 6.0, 6.1, 6.2

Median = **6.0**

### 3. Determining if 7.0 is an Outlier
To determine if a magnitude of **7.0** is an outlier, consider the following:

- **Range Method:** Check how much 7.0 deviates from the mean or median.
- **Interquartile Range (IQR) Method:** Calculate Q1 (25th percentile) and Q3 (75th percentile), then find the IQR (Q3 - Q1). Typically, any data point below Q1 - 1.5*IQR or above Q3 + 1.5*IQR is considered an outlier.

**Example:**
If your dataset is: 5.5, 5.8, 6.0, 6.1, 6.2, 7.0

- **Mean:** (5.5 + 5.8 + 6.0 + 6.1 + 6.2 + 7.0) / 6 ≈ 6.1
- **Median:** (6.0 + 6.1) / 2 = 6.05
- **Assessment:** A magnitude of 7.0 is significantly higher than both the mean and median, suggesting it could be an outlier.

### **Conclusion**
Without the specific dataset, I can't provide the exact mean, median, or definitively say whether 7.0 is an outlier. Please provide the list of earthquake magnitudes, and I'd be happy to assist you further!
Cannot determine the mean and median or assess if 7.0 is an outlier without the earthquake magnitude data.

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