Unformatted text preview: Test your understanding of medians and quartiles. 1. When we put data in order from smallest to the largest, what are we looking for? (choose all that apply) a. the middle of the data b. the largest and smallest values c. the spread of the data d. the numerical value in the data that occurs most frequently 2. True or false. The mean and median are just different names for the same thing. a. true b. false 3. Find the median of the numbers 3, 8, 4, 9, 6, 5. 4. Find the upper quartile of the numbers 35, 30, 25, 19, 32, 41, 18. 5. Which one of the following is not part of the 5 number data summary? a. lower quartile b. mean c. largest value d. upper quartile (answers next page) Answers 1. We look for a, b, and c. The numerical value that occurs most frequently is called the mode which we do not deal with. 2. False. In general the mean is not the same as the median although it can be. For instance, for the three data points 10, 20, and 30, the median and the mean (or average) are both 20, but for three data points 10, 20, and 60, the median is 20 and the mean is 30. 3. The data in order are 3, 4, 5, 6, 8, 9. The median of this even number of data points is the average of the middle two values or (5 + 6)/2 = 5.5 4. The data in order are 18, 19, 25, 30, 32, 35, 41. The median is 30. The data points above the median area 32, 35, 41. The upper quartile is the median of these numbers which is 35. Similarly the lower quartile is 19. 5. The mean is not part of the 5 number data summary. It is the median instead. ...
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- Fall '08