One-Variable Statistics

Math 1‎ > ‎

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)

Stem and Leaf Plot

Explanation:

Khan video: Stem-and-leaf plots
Khan video: Reading stem and leaf plots

Practice Problems:

Khan exercise: Reading stem and leaf plots

4.1.1a Dot Plot & Data Distribution

Explanation

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: Shape of distributions
Khan exercise: Creating dot plots
Khan exercise: Reading dot plots & frequency tables

4.1.1b Histogram (update links)

Explanation

Khan video: Creating a histogram
Khan video: Interpreting a histogram
Khan article: Histograms review

Practice:

Khan exercise: Create histograms
Khan exercise: Read histograms
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
Worksheet #1

4.1.1c Box-and-Whiskers Plot

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: Reading box plots
Khan video: Interpreting box plots
Khan article: Box plot review
Math is Fun: Quartiles

Practice

4.1.1d Comparing data display

Explanation

Khan video: Comparing distributions with dot plots (example problem)
Khan video: Comparing dot plots, histograms, and box plots

Practice

Khan exercise: Comparing data display

4.1.2a Using the Interquartile Range (IQR) to Determine if a Data Set Contains Outliers

Explanation:

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: Identifying outliers
Worksheet #1
Worksheet #2

4.1.2b Calculating and Interpreting the Standard Deviation of a Sample

Explanation:

Khan video: Sample standard deviation and bias
Khan article: The idea of spread and standard deviation

Exercise:

4.1.2c Calculating and Interpreting the 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: 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
Age of US Presidents Directions
Height of the class Directions
Worksheet #1
Worksheet #2

4.1.3 Determine the 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
http://www.city-data.com/city/Kingsburg-California.html

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
Worksheet #1

Review:

Flashcards: (honors)

General Statistics Links:

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