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Travel times to work in New York State are (on the average) longer than in North Carolina. Here are the travel times in minutes
Travel times to work in New York State are (on the average) longer than in North Carolina. Here are the travel times in minutes of 20 randomly chosen New York workers: 10 30 5 25 40 20 10 15 30 20 15 20 85 15 65 15 60 60 40 45 A stemplot not only displays the distribution but also makes finding the median easy because it arranges the observations in order: 0 5 1 005555 2 0005 3 00 4 005 6 005 7 8 5 The distribution is single-peaked and right-skewed, with several travel times of an hour or more. There is no center observation, but there is a center pair. These are the bold 20 and 25 in the stemplot, which have nine observations before them in the ordered list and nine after them. The median is midway between these two observations: M = 20+25 2 = = 22.5 minutes With n = 20, the rule for locating the median in the list gives n+ 1 21 location of M: = 2 = 10.5 2
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