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Stat 135 Lab 7 Learning objective #38

Stat 135 Lab 7 Learning objective #38. TA: Dongmei Li. Lecture Review. Symmetric Mean=Median Skewed to the left Mean < Median Skewed to the right Median < Mean

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Stat 135 Lab 7 Learning objective #38

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  1. Stat 135 Lab 7 Learning objective #38 TA: Dongmei Li

  2. Lecture Review • Symmetric • Mean=Median • Skewed to the left • Mean < Median • Skewed to the right • Median < Mean • The mean and standard deviation are heavily influenced by outliers, the median and the quartiles are not. Because of this, the mean is located farther toward the long tail of a skewed histogram than the median.

  3. Lecture Review • Boxplot • Min • Max • Q1 • Q3 • Median

  4. Lecture Review • When the standard deviation = 0, there is no spread – every number on the list is the same. • Adding or subtracting the same value to every number on a list will change the median and mean correspondingly, but not the standard deviation. • Multiplying or dividing every number on a list by the same positive value will change the mean, median, and standard deviation correspondingly. • Multiplying or dividing by a negative value will change the standard deviation by the corresponding positive number (the standard deviation is always positive).

  5. Lab 7 Learning Objective • 38. Learn the relationship between key statistical summaries and histograms (For example, mean, median, standard deviation, and quartiles).

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