Math Problem Statement

Use 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 the Richter scale an outlier​ (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. LOADING... Click the icon to view the earthquake Richter scale data. Question content area bottom Part 1 Find the mean and median of the data set using a calculator or similar data analysis technology. The mean of the data set is

enter your response here. ​(Round to three decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Mean
Median
Outliers
Data Analysis

Formulas

Mean: Mean = (Σx) / n
Median: If n is odd, Median = middle value; If n is even, Median = average of the two middle values
Outlier Detection: An outlier can be identified using the interquartile range (IQR) method: A data point is an outlier if it is more than 1.5 * IQR away from the first or third quartile

Theorems

Interquartile Range (IQR) Theorem

Suitable Grade Level

Grades 10-12