ANALYZING THE SHAPE OF DATA (CC-37) PURPOSE: TO CHOOSE APPROPRIATE STATISTICS BASED ON THE SHAPE OF THE DATA DISTRIBUTION. ADRIAN, KARLA, ALLEN, DENISSE

VOCABULARY ACTIVITIES1&2  What is an outlier? [a data value that is much greater or less than the other data values}  What does standard deviation measure? {the spread of a data set}  Which measure of center, mean or median, is more affected by outliers? {this mean is usually more affected by outliers than the median}  Uniform: if the data is roughly the same for each interval  Symmetric: if a vertical line can divide graphed data into two parts that are closed to mirror images  Skewed: If the graphed data has one peak that is not in the center

SHAPED TERMS FOR GRAPHED DATA  When a data set has an outline, the median is often the best measure of central tendency to describe the data, in the interquartile range the best measure of variation.  The process: 1. describe the shape of a graphed data and any unusual features 2. determine the best measure of center for a data set 3. describe the spread of the data set Become proficient in attending to precision

1.Describe the shape of the distribution for each class. Is the distribution uniform, symmetric, skewed? 2.Is the mean score of 75 for each class at the center of each histogram? Explain. 3.The median for Class A is 78 and the median for Class B is 75. The mean for both data sets is 75. Why is there a difference in the median values for these two data sets, even though the mean values are the same? 4.Reasoning: Based on the shapes of the distributions and the values for the mean and median, which class performed better? Explain.

Uniform : if the data is roughly the same for each interval

Symmetric : if a vertical line can divide graphed data into two parts that are closed to mirror images

Skewed : If the graphed data has one peak that is not in the center