Measures of spread

Week 7: October 6

MATH 317/ELMA 517 ~ Probability and Statistics for Teachers ~ Fall 2003


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Class meeting schedule and topics

Monday, October 6 ~ Measuring spread: Standard deviation, interquartile range, and range
Monday, October 13 ~ Scatterplots
Monday, October 20 ~ Midsemester exam

Homework Assignments

  1. Due Monday, October 13

    Required work

    1. Read Book 1 Section 7 and Book 2 Sections 6 & 7

    2. Find, collect, or recycle a dataset containing at least one numeric variable. Compute the range, interquartile range, and standard deviation for your data. Provide a specific reference, or describe in detail how the data were collected. Which measure of spread seems to be the most appropriate for your dataset? Explain.

      Please include at least one graph for your data, although you may use a graph that you have already submitted if you wish.

    3. Find, collect, or recycle a dataset containing at least one categorical variable and at least one numeric variable. That is, the dataset should allow for the comparison of a numeric variable across two categorical groups. Compute the range, interquartile range, and standard deviation for two groups in your numeric data. Provide a specific reference, or describe in detail how the data were collected. Write a paragraph comparing the spreads of the two groups.

      Please include graphs for your data, although you may use graphs that you have already submitted if you wish.

    Optional work

    • Repeat parts (b) or (c) above by hand or using technology.

  2. Due Monday, October 20

    Required work

    1. Find, collect, or recycle a dataset containing at least two numeric variables measured on the same subjects. Provide a specific reference, or describe in detail how the data were collected. Construct a scatterplot for the data. Describe how you knew which variable was the response or dependent variable, and which was the explanatory or independent variable. Describe the association you see in the scatterplot between the two variables. What story does the graph tell? Explain.

    2. Find, collect, or recycle a dataset containing at least one numeric variable measured over time. Please be sure that the time values are recorded as individual units that can be represented on a number line. Provide a specific reference, or describe in detail how the data were collected. Construct a timeplot for the variable over time. Describe any patterns or trends you see in the timeplot. What story does the graph tell? Explain.

    3. Play the Guessing Correlations from the University of Illinois at Urbana-Champaign (http://www.stat.uiuc.edu/cgi-bin/stat100/gc_main.pl?id=iup) game on the Web. Try to get your name into the list of Tom Short's IUP students who have played the game. (Click "New Plots" to get started.)

    Optional work

    • Repeat exercises (a) or (b) above by hand or using technology.
    • Play the Guessing Correlations game enough to reach the top of the standings.


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