Pedagogy in Action > Library > Teaching with SSAC > Examples > Frequency of Large Earthquakes -- Introducing Some Elementary Statistical Descriptors

Frequency of Large Earthquakes -- Introducing Some Elementary Statistical Descriptors

Len Vacher
University of South Florida, Tampa, FL
Created: 2006-11-17 09:20:27 Last Modified: October 30, 2007 13:30
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This activity was selected for the On the Cutting Edge Reviewed Teaching Collection

This activity has received positive reviews in a peer review process involving five review categories. The five categories included in the process are

  • Scientific Accuracy
  • Alignment of Learning Goals, Activities, and Assessments
  • Pedagogic Effectiveness
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This page first made public: Mar 21, 2007

This material was originally developed by Spreadsheets Across the Curriculum as part of its collaboration with the SERC Pedagogic Service.

Summary

In this Spreadsheets Across the Curriculum activity, students examine the number of large (magnitude 7 or larger) earthquakes per year in the 30-year period, 1970-1999. They build spreadsheets to find the mean, median, modes, max, min, range, variance, standard deviation, interquartile range, and a variety of percentiles. They compare three ways of determining quartiles. They compare the frequency distribution of earthquakes per year with the normal distribution using percentiles calculated from the data. In the end-of-module assignments, they use their spreadsheets to explore the data from the preceding 30 years (1940-1969) and the whole 60-year period (1940-1969). The data are from the QELP (Quantitive Environmental Learning Project) Website. The module includes links to QELP and some U.S. Geological Survey sites about earthquake frequency and magnitude.

Learning Goals

Students will: In the process the students will:

Context for Use

I use this module in my Computational Geology course, GLY 4866 (Acrobat (PDF) 39kB Sep25 06). The class consists of students who anticipate graduating in three or fewer semesters. The class serves as the capstone for the mathematics courses required for the geology major (throuogh Calculus 2.

As is typical of capstone courses in geology (e.g., field camp), the GLY 4866 draws freely and without warning from material anywhere in the students' prior experience. Weekly reading assignments pace through a quantitative literacy textbook aimed at a general audience (Understanding our Quantitative World by Janet Anderson and Todd Swanson). The book provides a way for the students to look back at their beginnings after ascending to their somewhat lofty position of weathering calculus. Thoughtful students come to appreciate "Everything I ever needed I learned in Kindergarten."

This module on earthquake frequency comes early in the semester, on the day on which reading Chapter 3(Data) is due. I start the in-class session by handing out a page with the 30 years of data. The students divide up into groups to calculate the descriptive statistics with pencil, paper, and calculators (using brute-force methods, not magic keys with STD, for example).

The students do not enjoy the calculation of standard deviation. They reported that they had been told different formulas in different courses (e.g., physics, chemistry, geology, biology). They were referring to n vs. n-1 in the denominator. So, we discuss the difference between sample and population, why I chose the population statistics (n in the denominator) in this module, and why I used 30 years of data. I had the impression that the students were somewhat taken aback with the notion that both the "n professors" and the "n-1 professors" could have actually have been correct.

The students were annoyed that there were three seemingly reasonable ways to calculate the first and third quartiles and that they produced different results in this case. The more vocal students knew about the 25th and 75th percentiles for Q1 and Q3, respectively, but were less confident about calculating them from the data. The calculation provided a good entry to interpolation and proportions and set the stage nicely for Chapter 6 on linear functions. Next time around, I will allow more time for a side exercise to emphasize the concept of linear interpolation more explicitly.

The module comes live on Blackboard during the in-class session. The students work through the module as homework. The end-of-module assignments are due in a week.

Description and Teaching Materials


SSAC2006.QE531.LV1.6-student (PowerPoint 412kB Jul26 10)

The module is a PowerPoint presentation with embedded spreadsheets. If the embedded spreadsheets are not visible, save the PowerPoint file to disk and open it from there.

This PowerPoint file is the student version of the module. An instructor version is available by request. The instructor version includes the completed spreadsheet. Send your request to Len Vacher (vacher@usf.edu) by filling out and submitting the Instructor Module Request Form.

Teaching Notes and Tips

The module is constructed to be a stand-alone resource. It can be used as a homework assignment or lab activity. It can also be used as the basis of an interactive classroom activity, with just-in-time teaching of the relevant mathematics (see "Context for Use").

Assessment

The end-of-module questions can be used for assessment.

The instructor version contains a pre-test

References and Resources

Earthquake frequency data from the Quantitative Evironment Learning Project

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