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### One-Variable Statistics

 ReviewKhan video: Statistics intro: Mean, median, & modeKhan article: Mean as the balancing point Khan video: Missing value given the mean Khan video: Median & range puzzlers (honors) Khan exercise: Mean, median, and modeKhan exercise: Calculating the meanKhan exercise: Calculating the medianKhan exercise: Calculating the mean: data displaysKhan exercise: Calculating the median: data displaysKhan exercise: Missing value given the meanKhan exercise: Median & range puzzlers (honors)Stem and Leaf PlotExplanation:Khan video: Stem-and-leaf plotsKhan video: Reading stem and leaf plotsPractice Problems:Khan exercise: Reading stem and leaf plots4.1.1a 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 PlotExplanationKhan 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 plotKhan video: Reading box plotsKhan video: Interpreting box plotsKhan article: Box plot reviewMath is Fun: QuartilesPractice Khan exercise: Creating box plotsKhan exercise: Reading box plotsKhan exercise: Interpreting quartilesWorksheet #1Worksheet #24.1.1d Comparing data display Explanation Practice Khan exercise: Comparing data display 4.1.2a Using the Interquartile Range (IQR) to Determine if a Data Set Contains OutliersExplanation:Khan video: Interquartile range (IQR)Khan article: Comparing range and interquartile range (IQR)Khan article: Interquartile range reviewKhan video: Judging outliers in a datasetKhan article: Identifying outliers with the 1.5xIQR rulePractice: Khan exercise: Interquartile range (IQR) - you can drag the numbers to sort themKhan exercise: Identifying outliersWorksheet #1Worksheet #24.1.2b Calculating and Interpreting the Standard Deviation of a SampleExplanation:Khan video: Sample standard deviation and biasKhan article: The idea of spread and standard deviationExercise:4.1.2c Calculating and Interpreting the Standard Deviation of a Population & Normal Distribution (honors)4.1.3 Determine the best measure of central tendency and variation (spread) Explanation: Khan video: Example: Comparing distributionsKhan article: Choosing the "best" measure of centerKhan video: Mean and standard deviation versus median and IQRKhan video: Comparing means of distributionsKhan video: Means and medians of different distributionsKhan video: Impact on median & mean: removing an outlierKhan video: Impact on median & mean: increasing an outlier  http://www.city-data.com/city/Kingsburg-California.html Practice:  Khan exercise: Comparing DistributionsKhan exercise: Comparing data distributions (extra credit)Khan exercise: Comparing center and spreadKhan 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)