98 Chapter 3 Numerical Summaries of Data (i) Mean is 8.0; median is 8.1 (ii) Mean is 8.5; median is 6.5 (iii) Mean is 7.0; median is 8.3 (iv) Mean is 6.2; median is 6.1 26. Which is the correct mean and median for the following histogram? 0 1 2 3 4 5 6 0.5 0.4 0.3 0.2 0.1 0 Relative Frequency (i) Mean is 3.0; median is 4.1 (ii) Mean is 4.2; median is 3.2 (iii) Mean is 4.4; median is 5.0 (iv) Mean is 4.3; median is 4.1 27. Find the mean, median, and mode of the data in the following stem-and-leaf plot. The leaf represents the ones digit. 1 2 2 0779 3 78 4 13 28. Find the mean, median, and mode of the data in the following stem-and-leaf plot. The leaf represents the ones digit. 0 8 1 16 2 3559 3 0 Working with the Concepts 29. Mean and median income: The U.S. Census Bureau reports that in the year 2008, the mean household income was $68,424 and the median was $50,303. If a histogram were constructed for the incomes of all households in the United States, would you expect it to be skewed to the right, skewed to the left, or approximately symmetric? Explain. 30. Mean and median height: The National Center for Health Statistics reports that in 2008, the mean height for U.S. women aged 20–29 was 64.3 inches, and the median was 64.2 inches. If a histogram were constructed for the heights of all U.S. women aged 20–29, would you expect it to be skewed to the right, skewed to the left, or approximately symmetric? Explain. 31. Hamburgers: An ABC News story reported the number of calories in hamburgers from six fast-food restaurants: McDonald’s, Burger King, Wendy’s, Hardee’s, Sonic, and Dairy Queen. The results are 250 290 230 310 310 350 a. Find the mean number of calories. b. Find the median number of calories. 32. Great swimmer: In the 2008 Olympic Games, Michael Phelps won eight gold medals in swimming. Following are the events he won, along with his margin of victory, in seconds. Event Margin of Victory 100m Butterfly 0.01 200m Freestyle 1.89 200m Butterfly 0.67 200m Individual medley 2.29 400m Individual medley 2.32 4 × 100m Freestyle 0.08 4 × 200m Freestyle 4.74 4 × 100m Medley 0.30 a. What was the mean margin of victory? b. What was the median margin of victory? c. Assume the margin of victory in the 200m freestyle was incorrectly entered as 18.9. Which would increase more, the mean or the median? Explain why. 33. Playback time: The following table presents the playback time (in hours) of a sample of 20 MP3 players. Brand & Model Playback Time Brand & Model Playback Time Samsung YP-T10 29 SanDisk Sansa View 35 Samsung YP-P2 25 Philips GoGear SA5245BT 40 Creative ZEN 23 Archos 405 13 iRiver SPINN MP4 Player 21 Creative ZEN X-Fi with Wireless LAN 38 Sony Walkman NWZ- S738FBNC 47 Apple iPod Nano 34 Apple iPod Touch 46 Archos 105 23 Sony Walkman NWZ-E438F 66 Sony Walkman NWZ-A828 42 Sony Walkman NWZ-A729 43 Creative Mozaic 38 Creative ZEN X-Fi 35 SanDisk Sansa Fuze 29 Sony Walkman NWZ-S638F 47 Samsung YP-S3 25 Source: Consumer Reports
navidi_monk_essential_statistics_1e_ch1_3
To see the actual publication please follow the link above