In a recent year the magnitudes (Richter scale) of 10,594 earthquakes were recor

Question

In a recent year the magnitudes (Richter scale) of 10,594 earthquakes were recorded. The mean is 1.309 and the standard deviation is 0.551. Consider the magnitudes that are unusual. What are the magnitudes that separate the unusual magnitudes from those that are usual? (Consider a value to be unusual if its z score is less than -2 or greater than 2.) What are the magnitudes that separate the unusual magnitudes from those that are usual? The lower bound earthquake magnitude is (Type an integer or a decimal.) The higher bound earthquake magnitude is (Type an integer or a decimal.)

Explanation / Answer

The lower and upper bound mentions as follows:

The lower bound earthquake magnitude is = 1.309 - 0.551/2 = 1.309 - 0.2755 = 1.0335

The upper bound earthquake magnitude is = 1.309 + 0.551/2 = 1.309 + 0.2755 = 1.5845

In some other books lower and upper bound mentions as follows:

The lower bound earthquake magnitude is = 1.309 - 0.551 = 0.758

The upper bound earthquake magnitude is = 1.309 + 0.551 = 1.860

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