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Henrico County Public Schools, Virginia
 
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Module - Data Analysis
Lesson 5 - Deviation and Z-Scores

Lessons

1-

Adding, Subtracting, and Scalar Multiplication of Matrices

2-

Measures of Central Tendency

3-

Box and Whisker Plots

4-

Best Fit Lines and Curves

5-

Deviation and Z-Scores

6-

Module Review

 

 
SOL

A.9 - The student, given a set of data, will interpret variation in real-world contexts and calculate and interpret mean absolute deviation, standard deviation, and z-scores.

Common Core Standards
6.SP.5c 7.SP.1 7.SP.2 7.SP.3 S-ID.2 S-ID.3
Warm-up
Lessons
  1. Notes: Mean Absolute Deviation (ppt)
  2. Notes: Standard Deviation (ppt)
  3. Notes: Z-scores (ppt)
  4. Notes: Sigma Notation and Mean Absolute Deviation (ppt)
  5. Notes Outline: Summation Notation and Mean Absolute Deviation (doc)|(pdf)
  6. Notes: Virginia Department of Education Technical Assistance documentation (pdf)
  7. Notes: Standard Deviation and z-scores (ppt)
  8. Notes: Student Notes Outline for Standard Deviation and z-score ppt (doc)|(pdf)
  9. Video: PH Finding Standard Deviation
  10. Video: PH Using Standard Deviation
  11. Video: PH Using a Normal Distribution
  12. Video: PH Using the Standard Normal Curve
  13. Varience and Standard Deviation Calculator (xlsx)
Videos
  1. What is a "Standard Deviation?" and where does that formula come from? - YouTube video
Explore Learning
  1. Real-Time Histogram: Try to click your mouse once every 2 seconds. The time interval between each click is recorded, as well as the error and percent error. Data can be displayed in a table, histogram, or scatter plot. Observe and measure the characteristics of the resulting distribution when large amounts of data are collected.
Geogebra

 

Internet Sites
  1. Notes: Using the TI calculator to Find One-Variable Statistics
  2. Notes: Z-scores
Tasks

 

Homework
  1. ExamView Quiz: Deviation and Z-Scores
  2. Standard Deviation (pdf) | Solution (pdf)
  3. Mean Absolute Deviation (pdf) | Solution (pdf)
  4. Standard Deviation graphs (pdf) | Solution (pdf)
  5. Z-Scores (pdf) | Solution (pdf)
Journal
  1. Relevance: Why are these statistical measures important?
Study Guide
  1. Prentice Hall Quiz: Finding Mean & Standard Deviation
  2. Prentice Hall Quiz: Finding range, Interquartile Range, Mean, Standard Deviation, Z-score
  3. Prentice Hall Quiz: Using Normal Distribution, Mean, Standard Deviation
Other
HCPS 2002-