One-Variable Statistics

• Explanation

  • Notes | Annotated

  • Creating Histograms in Desmos Directions

  • Khan video: Representing data

  • Khan video: Frequency tables & dot plots

  • Khan video: Creating a histogram

  • Khan video: Interpreting a histogram

  • Khan article: Histograms review

  • Khan video: Stem-and-leaf plots

  • Khan video: Reading stem and leaf plots

  • Khan article: Stem and leaf plots review

  • Khan video: Reading line graphs

  • Khan video: Misleading line graphs

  • Math is Fun: Data distribution: Skewed Data

  • Measures of Shape: Skewness and Kurtosis (exposure for the honors class)

  • Excel or Google Sheets =SKEW()

• Practice

  • Khan exercise: Creating dot plots

  • Khan exercise: Reading dot plots & frequency tables

  • Khan exercise: Create histograms

  • Khan exercise: Read histograms

  • Khan exercise: Reading stem and leaf plots

  • Shodor Interactive: Histogram: View histograms for built-in or user-specified data. Experiment with how the size of the class intervals influences the appearance of the histogram. Parameters: Data sets, class sizes.

  • Worksheet #1

Explanation:

• • Notes | Annotated

  • Khan video: Statistics intro: Mean, median, & mode

  • Khan video: Mean, median, & mode example

  • Khan article: Choosing the "best" measure of center

  • Khan article: Mean, median, and mode review 

  • Khan video: Comparing means of distributions

  • Khan video: Means and medians of different distributions

  • Khan video: Impact on median & mean: removing an outlier

  • Khan video: Impact on median & mean: increasing an outlier 

  • Khan article: Mean as the balancing point 

  • Khan video: Missing value given the mean 

  • Khan video: Median & range puzzlers (honors)

  • Shodor Interactive: Plop It! - histogram with mean, median, mode

Practice:

• • Khan exercise: Mean, median, and mode

  • Khan exercise: Calculating the mean (optional)

  • Khan exercise: Calculating the median

  • Khan exercise: Calculating the mean: data displays

  • Khan exercise: Calculating the median: data displays

  • Khan exercise: Missing value given the mean

  • Khan exercise: Effects of shifting, adding, & removing a data point

  • Khan exercise: Median & range puzzlers (honors)

  • Worksheet #1

• Explanation

  • Notes | Annotated

  • Khan video: Worked example: Creating a box plot (odd number of data points)

  • Khan video: Worked example: Creating a box plot (even number of data points)

  • Khan video: Constructing a box plot

  • Khan video: Interpreting box plots

  • Khan article: Box plot review

  • Math is Fun: Quartiles

  • Khan video: Comparing distributions with dot plots (example problem)

  • Khan video: Comparing dot plots, histograms, and box plots

  • Khan video: Shapes of distributions (histograms, dot plots, and box-and-whiskers plot)

• Practice

  • Khan exercise: Creating box plots

  • Khan exercise: Interpreting quartiles

  • Khan exercise: Shape of distributions (histograms, dot plots, and box-and-whiskers plot)

  • Khan exercise: Comparing Distributions

  • Khan exercise: Comparing data display

  • Comparing Professional Sport Team: Data: pdf | Google Sheet | Worksheet

  • Worksheet #1

• Explanation:

  • Notes | Annotated

  • Khan video: Reading box plots

  • Khan video: Interquartile range (IQR)

  • Khan article: Comparing range and interquartile range (IQR)

  • Khan article: Interquartile range review

  • Khan video: Judging outliers in a dataset

  • Khan article: Identifying outliers with the 1.5xIQR rule

• Practice: 

  • Khan exercise: Interquartile range (IQR) - you can drag the numbers to sort them

  • Khan exercise: Reading box plots (includes range and IQR)

  • Khan exercise: Identifying outliers

  • Desmos Activity: Comparing histograms and box plots (Teacher use)

  • Worksheet #1

• Explanation:

  • Notes | Annotated

  • Khan video: Sample standard deviation and bias

  • Khan article: The idea of spread and standard deviation

• Exercise:

  • Worksheet #1

• Explanation:

  • Notes | Annotated

  • Khan video: Measures of spread: range, variance & standard deviation

  • Khan video: Population standard deviation

  • Khan article: Calculating standard deviation step by step

  • Khan article: Concept check: Standard deviation

  • Khan article: Population and sample standard deviation review

  • Math is fun: Standard deviation

  • Math is fun: Normal distribution | Math is Fun: Normal distribution produced by randomness

• Exercise:

  • Khan Exercise: Standard deviation of a population

  • Khan Exercise: Sample and population standard deviation

  • Desmos activity: Crab Island (for teacher use only)

  • Age of US Presidents Directions

  • Height of the class Directions

  • Worksheet #1

• Explanation:

  • Notes | Annotated

  • Khan video: Example: Comparing distributions

  • Khan video: Mean and standard deviation versus median and IQR

• • • http://www.city-data.com/city/Kingsburg-California.html

• Practice: 

  • Khan exercise: Comparing data distributions (extra credit: Stats & Prob)

  • Khan exercise: Comparing center and spread

  • Illumination: Mean and Median (click on the exploration) - reviews box-and-whiskers and the relationship between mean and median

• • • Worksheet #1

• Flashcards: 

  • Regular 

  • Honors

• Summary Notes

• Desmos Activity: Summary of One-Variable Statistics (Teacher use only)

• Worksheet #1

General Statistics Links:

• http://www.learner.org/courses/againstallodds/

• http://thisisstatistics.org/

• http://onlinestatbook.com/stat_sim/index.html