At the school track, Tara, Emek, and Luna compared two training routines before the team's next competition. Five runners using Routine A recorded practice times of 62, 63, 64, 65, and 66 seconds. Five runners using Routine B recorded 58, 61, 64, 67, and 70 seconds. Both sets had a mean of 64 seconds and a median of 64 seconds. At first, the routines seemed equally effective. Then Luna noticed an important difference: Routine A's times were grouped closely around 64, while Routine B's times were much more spread out. Tara explained that the smaller variation meant Routine A was producing more consistent results. After checking the calculations together, they recommended Routine A. The team adopted the steadier training plan and headed into its next competition with confidence.

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Challenge 1 of 5

Challenges

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Challenge 1 of 4
Hint
Think about what the mean and median do not tell you about how closely the times are grouped.
Both routines have the same mean and median. Which additional comparison best explains why Routine A was considered more consistent?
Compare the largest time only.Compare the number of runners using each routine.Compare how spread out the times are.Compare the middle time again.
Correct. Comparing the spread shows that Routine A's times are more closely grouped.
Look for a measure that describes how far apart the smallest and largest times are.
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Hint
Find each range by subtracting the smallest time from the largest time, then compare the two ranges.
How many seconds greater is the range of Routine B's times than the range of Routine A's times?
Correct. Routine B's range is 8 seconds greater than Routine A's range.
Find the range for each routine first, then subtract the smaller range from the larger one.
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Hint
Compare the smallest and largest times in each routine.
A coach says, "Since both routines have a mean of 64 seconds and a median of 64 seconds, they must give equally consistent results." Which response is best?
The coach is correct because equal means always show equal consistency.The coach is correct because equal medians always show equal consistency.The coach is incorrect because Routine B has fewer recorded times.The coach is incorrect because the two sets can have the same mean and median but different amounts of spread.
Correct. Equal centers do not mean the data have equal spread.
The mean and median describe the center of the data, but consistency also depends on how spread out the values are.
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Antrenman Planı Kararı
TR
ARC_G06_DP_02_STORY_02
Antrenman Planı Kararı
The Training Plan Decision
EN
ARC_G06_DP_02_STORY_02
The Training Plan Decision