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. 2.78 2.09 0.42 2.45 1.44 2.06 2.07 0.28 0.21 0.64 2.12 2.18 1.84 1.98 1.16 2.06 2.78 1.87 0.37 0.92 0.35 0.21 2.24 0.42 0.06 1.29 1.65 2.11 2.77 2.75 2.34 2.83 2.79 0.61 1.77 0.87 0.85 1.06 1.55 1.03 1.55 0.05 1.74 0.33 2.67 1.64 2.57 0.39 0.93 1.86
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Measures of Central Tendency
Outlier Detection
Formulas
Mean = (Sum of all values) / (Number of values)
Median = Middle value of ordered data set
Interquartile Range (IQR) = Q3 - Q1
Outlier bounds = [Q1 - 1.5 * IQR, Q3 + 1.5 * IQR]
Theorems
Interquartile Range (IQR) method for outlier detection
Suitable Grade Level
Grades 9-11
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