Welcome to Our Statistics Homeschool Math Course

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Getting Started with Our Statistics Homeschool Math Course

The Statistics homeschool math course is taught by Kathy Lapan, a former middle school math teacher who currently homeschools two children. This course is presented to help students understand the statistics they encounter in everyday life and confidently interpret them. Statistics lessons are best studied sequentially, beginning with Unit One, Introduction to Statistics. Worksheets are provided and specific answer keys are available.

Overview

18 weeks, 5 days a week
Includes downloadable lessons, assignments, course texts, and answer keys
Grades 10th-11th

Supplies Needed

Corresponding material on SchoolhouseTeachers.com; journal for notetaking and research

What to Do

Go to Class Lessons and download the lesson plan, course texts, lessons file, worksheets file, and answer keys. Start with the Day 1 reading assignment. Follow the instructions each day on the lesson plan and check them off when completed.

Course Outline for Our Statistics Homeschool Math Course

Eighteen Statistics homeschool math lessons help high school homeschool students understand the statistics they encounter in everyday life.

Week 1:  Understanding Statistics
Week 2:  Basic Formulae & Population vs Sample
Week 3: Review and Beginning Probability
Week 4: Practicing Probability
Week 5:  Chance and Predictions
Week 6:  Interpreting Graphs
Week 7:  Utilizing Graphs
Week 8:  Types of Graphs, Distribution & Outliers
Week 9:  Histograms
Week 10: Introduction to Standard Deviation and Computations
Week 11: Standard Deviation
Week 12:  Normal Distribution
Week 13: Slope
Week 14:  Demographics, Sample & Sample Size
Week 15:  Review of Statistics
Week 16:  Review of Probability
Week 17:  Statistics Review
Week 18:  Final Project and Assessment

Course Sample for Our Statistics Homeschool Math Course

Introduction to Statistics

What are Statistics?

Statistic: a numerical fact
- A statistic is a quantifiable fact, such as a temperature, a total, an amount of money, etc.
- The study of statistics is the manipulation of these facts to glean information

What aren’t Statistics?

(Excuse the grammar!)

Not guesses
Not made up
Not useless

Vocabulary

Demographic: a vital or statistic about a population, such as age, gender, or racial identity
- Demographics can be used to describe anything for which statistics are being gathered. For instance, a demographic for a series of temperatures could be the location at which the temperatures were recorded. However this term is usually applied to people.
Sample: a subset of the population
- A sample is used when the population is too large for statistics to be useful or collected.
Population: a group sharing one or more demographics
- For instance, all US citizens
Mean: average
Mode: number that occurs the most in a range
Median: the middle number when a range of numbers are in order
Probability: chances, odds
Hypothesis: a proposition assumed as a premise in an argument; what you are trying to disprove
- This is the educated guess for which we are gathering statistics.
Range: difference between largest number and smallest number in a set
Bell (normal) distribution: theoretical frequency distribution represented by a normal curve
Outlier: an observation, result, well outside the expected range of values
Variance (mean square deviation): the square of the standard deviation
Standard Deviation: a measure of dispersion in a frequency distribution, equal to the square root of the mean of the squares of deviations from the arithmetic mean of the distribution
- Represented by the Greek letter sigma: σ
- This isn’t as difficult as it sounds!
Z-score: a measure that quantifies the distance a data point is from the mean in a range

To view a full sample of this class, click here.

More About Our Statistics Homeschool Math Course

Statistics are used in every field, from the census, to lottery, to investments, to science, to computing, to television. In fact, a person would be hard-pressed to find a field in which statistics are not used. This Statistics homeschool math course can help homeschool teens understand how statistics are determined and gauge the reliability of information presented to them.

Statisticians use a sample that represents the entire group. This is because it is usually not realistic or possible to study an entire group. Sample groups are most often used in exit polls during presidential elections, television ratings, and sales figures. Through these Statistics lessons, homeschool teens learn how to interpret the many statistics they encounter in everyday life.

Transcript Information for Our Statistics Homeschool Math Course

Upon successful completion of all Statistics homeschool math lessons and assignments (including the final lab), a homeschool student may earn 0.5 academic credit in math. Combining this Statistics homeschool math course with the one-semester trigonometry course, a homeschool student may earn a full year of high school math credit.

*Please be informed of your state’s academic requirements.

Visit our High School Help page for resources and information about:

Finding out your state’s academic requirements.
How to create a transcript
Keeping a schedule
Career Exploration
And more!

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