Emek and Luna were preparing to travel from their research station to a distant planet. Their computer stored travel times from six earlier missions on two possible routes. Route A had taken 31, 38, 39, 40, 41, and 47 hours. Route B had taken 36, 37, 38, 38, 39, and 40 hours. Emek and Luna organized the data on line plots. At first, Route A seemed tempting because its fastest trip took only 31 hours. But its times were spread from 31 to 47 hours, while Route B's times stayed between 36 and 40 hours. They also noticed that Route B's times clustered around 38 hours. Since they needed a dependable arrival time, they chose Route B instead of judging by the fastest trip alone. Their careful comparison paid off, and they reached the planet safely and on schedule.

Challenges

Challenge 1 of 5

Challenges

Challenge 1 of 4
Hint
Think about whether one data value describes how much all six travel times vary.
A student says Route A is more dependable because it had the fastest trip, 31 hours. Which statement best explains why this reasoning is not enough?
The fastest trip tells how long every future trip will take.Route A has more recorded trips than Route B.The fastest trip should always be ignored when comparing routes.One fast trip does not show how consistent a route is; the spread of all the travel times should also be considered.
Correct. Looking at all the travel times and their spread gives more information about dependability than looking only at the fastest trip.
Consider what the full set of travel times shows that the single fastest time does not.
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Hint
Find each route's spread by subtracting its smallest travel time from its largest, then compare the two spreads.
How many hours greater is the spread of Route A's travel times than the spread of Route B's travel times?
Correct. Route A's spread is 12 hours greater than Route B's spread.
Find the spread of each route first, and then subtract the smaller spread from the larger one.
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Hint
Check how far each Route B travel time is from 38 hours.
Emek claims that every recorded trip on Route B was within 2 hours of 38 hours. Is his claim correct?
No, because one Route B trip took 36 hours.Yes, because all Route B times are from 36 to 40 hours, which are within 2 hours of 38.No, because Route B does not have the fastest recorded trip.Yes, because every Route B trip took exactly 38 hours.
Correct. The Route B times range from 36 to 40 hours, so each is no more than 2 hours away from 38.
Compare the smallest and largest Route B times with 38 and check their distances from 38.
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Galakside Bir Rota Seçmek
TR
ARC_G05_DP_02_STORY_03
Galakside Bir Rota Seçmek
Choosing a Route Through the Galaxy
EN
ARC_G05_DP_02_STORY_03
Choosing a Route Through the Galaxy