One-Variable Statistics
Review
Khan video: Statistics intro: Mean, median, & mode
Khan article: Mean as the balancing point
Khan video: Missing value given the mean
Khan video: Median & range puzzlers (honors)
Khan exercise: Mean, median, and mode
Khan exercise: Calculating the mean
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: Median & range puzzlers (honors)
8.1 Dot Plot, Histograms, Stem-and-Leaf, and Data Distribution
Explanation
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 video: Shapes of distributions
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.
Shodor Interactive: Plop It! - histogram with mean, median, mode
Khan exercise: Shape of distributions
8.2 Box-and-Whiskers Plot (include range and IQR)
Explanation
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
Practice
Khan exercise: Creating box plots
Khan exercise: Interpreting quartiles
Khan exercise: Comparing data display
8.3 Outliers
Explanation:
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: Reading box plots
Khan exercise: Interquartile range (IQR) - you can drag the numbers to sort them
Khan exercise: Identifying outliers
8.4 Standard Deviation of a Sample
Explanation:
Khan video: Sample standard deviation and bias
Khan article: The idea of spread and standard deviation
Exercise:
8.5 Standard Deviation of a Population & Normal Distribution (honors)
Explanation:
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: Normal distribution | Math is Fun: Normal distribution produced by randomness
Exercise:
8.6 Best measure of central tendency and variation (spread)
Explanation:
Khan video: Example: Comparing distributions
Khan article: Choosing the "best" measure of center
Khan video: Mean and standard deviation versus median and IQR
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
Practice:
Khan exercise: Comparing Distributions
Khan exercise: Comparing data distributions (extra credit)
Khan exercise: Comparing center and spread
Khan exercise: Effects of shifting, adding, & removing a data point
Illumination: Mean and Median (click on the exploration) - reviews box-and-whiskers and the relationship between mean and median
Review:
General Statistics Links: