Choose the right answer. Below are sizes of earthquakes around the world that are reported on a certain day(2007/8/29 UTC). Units are in magnitude (MAG). 2.5, 2.5, 2.5, 2.5, 2.5, 2.6, 2.6, 2.6, 2.6, 2.6, 2.7, 2.9, 2.9, 2.9, 3.0, 3.0, 3.0, 3.1, 3.2, 3.3, 3.4, 3.5, 4.1, 4.3, 4.3, 4.6, 4.7, 5.1, 5.2, 5.5. If the value 3.1 in the earthquake data were changed to 32, which of the mean, median, IQR, standard deviation, and variance would change? A. Only the mean. B. Only the mean and standard deviation. C. Only the IQR, standard deviation and variance. D. Only the mean and median. E. Only the mean, standard deviation and variance.
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Mean: The mean is the sum of all values divided by the number of values. If we change one value from 3.0 to 32, the sum will increase, and therefore the mean will change. Show more…
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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. 0.32 2.06 1.27 2.41 1.79 1.55 2.71 1.58 1.55 0.54 1.66 1.12 0.09 0.78 2.07 0.01 1.84 0.83 2.18 1.69 0.43 1.99 2.22 1.64 1.67 2.71 2.31 1.41 1.14 1.45 0.94 2.05 1.23 2.89 2.73 1.68 0.69 0.98 1.57 0.69 1.16 0.87 0.34 1.75 0.31 2.65 1.16 0.21 0.85 1.09 Find the mean and median of the data set using a calculator or similar data analysis technology.
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