One Quantitative Variable: Shape and Center

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Presentation transcript:

One Quantitative Variable: Shape and Center Section 2.2 One Quantitative Variable: Shape and Center

Review Given the two-way table from last class, approximately what percentage of patients who survived received Paricalcitol? 58% 53% 50% 29% Survived Died Total Calcitriol 17,252 16,248 33,500 Paricalcitol 19,665 13,835 36,917 30,083 67,000 19665/36917

Histogram vs Bar Chart This is a Histogram Bar chart Other I have no idea

Histogram vs Bar Chart This is a Histogram Bar chart Other I have no idea

New Homes Prices of new homes are most likely symmetric skewed to the left skewed to the right

Skewness and Center A distribution is left-skewed. Which measure of center would you expect to be higher? Mean Median The mean will be pulled down towards the skewness (towards the long tail).

The distribution of 2010-11 NHL Salaries is shown, in millions of dollars. The distribution is: A. Symmetric B. Skewed right C. Skewed left

The distribution of 2010-11 NHL Salaries is shown. Which is larger, the mean or the median? A. The mean B. The median

The median is approximately (in millions of dollars) A. 0.46 B. 1.25 C. 2.21 D. 4.35 E. 5.0

The mean is approximately (in millions of dollars) A. 0.46 B. 1.25 C. 2.21 D. 4.35 E. 5.0

Example: 2010-11 NHL Salaries Mean is “pulled” in the direction of skewness x=$2,210,000