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Earthquake Depth and Magnitude


For one calendar year, data on the magnitude (on the Richter Scale) and depth (in kilometers) of every earthquake recorded around the world was compiled. There were over $17,000$ earthquakes recorded. Below is a scatterplot of the depth and magnitude of the earthquakes:

The graphs below are percentile plots. The percentiles of the magnitude measurements are graphed at left, while the percentiles of the depth measurements are graphed at right.

Part 1:
At which of the following depths was there the greatest variability in magnitude recorded?

Part 2:
Approximately what percent of all earthquakes appear to have a magnitude greater than $5.0$ on the Richter scale?

Part 3:
Estimate the median depth of an earthquake.

Part 4:
On the Richter Scale, a magnitude $6.0$ earthquake is ten times as intense as a magnitude $5.0$ earthquake. Each increase of $1.0$ units on the Richter scale is a ten-fold increase in intensity.

Find the approximate difference in percentile ranks between a magnitude $3.0$ earthquake and an earthquake that is $1,000$ times more intense.