Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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Learning Math Home
Data Measurement and Variation
Session 1 Part A Part B Part C Part D Homework
Data Site Map
Session 1 Materials:



Notes for Session 1

Note 1
Many teachers focus solely on the third component of our four-step process for statistical investigations: data analysis. But to properly understand your data, you need to do more than simply examine them. Specifically, there are four things you should consider:

Part B Notes:

Data Measurement and Variation

Part C Notes:

Bias in Measurement

Part D Notes:

Bias in Sampling

A statistics problem typically contains four integral components:


Formulation of a statistical question


The nature of data


Particular ways to examine data


Types of interpretations

These four elements serve as the foundation of all the activities in this course. The activities in Part B of this session begin with a question (or questions) and then focus on the nature of data. Each activity emphasizes three points:


Data consist of measurements of a particular variable.


There is variation in data.


There are many potential sources of this variation.

Two questions recur throughout this session: Why are there differences (i.e., variation) in our measurements? What is the source of this variation?

Parts C and D look at two kinds of "bias" in data. Part C uses an Interactive Activity to examine how measurement bias might arise. Part D uses an Interactive Activity that demonstrates how bias can occur in sample selection by looking at the difference between human selection and random selection.

Materials Needed:


foot-long rulers




tape measures


meter sticks


metric rulers

The following materials are needed for those choosing to do hands-on activities:


up to 32 pennies


metric scales that are accurate to 1/100 of a gram


a stopwatch or watch with a second hand


five boxes of raisins

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