Sophia Statistics Milestones Test_Combined Final

In which of these cases should the median be used? When the data has small variance When data has no outliers When the data has extreme values When the data has nominal values RATIONALE Since the mean uses the actual values in the data, it is most affected by outliers and skewness. So, we only want to use the mean when the data is symmetric as a measure of centrality. When the data is skewed or has extreme values, the median is a better measure since it is not as sensitive to these values. CONCEPT Measures of Center 2 Consider the times (in seconds) that it took children and adults to solve a Rubik’s cube at a competition. What does the circled section represent? 21 children completed the Rubik's cube in 7 minutes. One child solved the Rubik's cube in 21.7 seconds. One child took 72 seconds to solve the Rubik's cube, while another took 71 seconds to solve it. 21 children completed the Rubik's cube in 7 seconds. RATIONALE If we recall that the stem and leaf can give us the actual values in the dataset, then the circle corresponds to 71 and 72. We can then note that there are 2 children who solved the Rubik's cube at 71 and 72 seconds. CONCEPT Stem-and