Concept/Topic Summary for September GPS/CCSS 13, 2011 Variability “from the mean” SAD= Sum of the Absolute Deviation. It is the sum of absolute values of the differences of observations Not in CCSS from mean; Level B concept, Early Level C MAD=Mean Absolute Deviation. It is the average of the distances of the observations from the mean – Not in CCSS a Level B concept, early Level C Level A – fair share interpretation of the mean; S-Id. 2/3. But the entry is left variability from the fair to understanding by the share is measured by professor and could be left to "number of steps" to the any understanding of mean fair share or to “level off” the and Standard Deviation stack of cubes Relationship between # of steps to level off and the SAD? SAD is twice the Not in CCSS number of steps (from level A) Level B – interpretation of S-ID. 2/3. This entry again is mean = balance point vauge and left to interpretation. Level C – How do we take a sample mean and make an inference about a population mean? “How S-IC 1. close can we expect our sample mean to be to the population mean?” Level C – measure variability by Standard Deviation (differs from MAD by squaring S-ID 4. Here too the CCSS is differences rather than taking vauge. absolute value of differences but interpretation of MAD and StDev are similar)