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
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