1. Warmup
What five numbers need to be mentioned in the complete sentence you write when the data distribution is skewed?

2. 11-2 Distribution of Data with Box and Whiskers

3. If one whisker is considerably longer than the other and the median is closer to the shorter whisker, then the distribution is skewed.
Again, if the distribution is symmetric, use mean and standard deviation. If skewed, use five number summary.

4. S - Shape: The shape that the graph takes (which includes a bar graph, histogram, stem-and-leaf plot, dot plot, or box plot) Possible answers would include:  1. Symmetric (only if the graph is exactly symmetric) or Roughly Symmetric - this would be describing a graph where the left and right sides are mirror images 2. Skewed Right - this is when the graph has a long tail on the right side of the data set 3. Skewed Left - this is when the graph has a long tail on the left side of the data set

5. O - Outliers: Outliers are any unusual parts of the data set which do not fit the pattern of the data set. Outliers can be found by visually looking at the data or graph, but when using this method to describe the data you would have to say, "the outliers appear to be...". Outliers can also be found arithmetically. [First Quartile – 1.5 (IQR)] - an outlier would include anything less than this value ~AND~ [Third Quartile (IQR)] - an outlier would include anything greater than this value

6. C - Center: The center of a data set is described by either the mean or the median of the set of values. Unless the data is symmetric, the median should be used to describe the center rather than the mean, because the median is a resistant measure while the mean is not.

7. S - Spread: The spread of a data set is used to describe the range of values that are represented by the data. One way to find spread would be to find the range of the data, subtracting the smallest point of data by the largest point of data. Another way to find the spread of a data set would be to find the interquartile range (IQR), which unlike range is a resistant measure, because it ignores the top 25% and lowest 25% of the data. IQR = (Third Quartile) - (First Quartile)