Oni was timing her 100 meter sprints. Her first five sprints were 12 point 5 6 8 seconds, 11 point 4 2 6 seconds, 12 point 3 2 4 seconds, 11 point 9 8 1 seconds, and 12 point 6 0 1 seconds. Which two estimation techniques will give the same result for the total number of seconds for all five sprints?
Answer
A
front-end and rounding to the nearest tenth
B
rounding to the nearest tenth and rounding to the nearest hundredth
C
clustering and rounding to the nearest tenth
D
front-end and clustering
Explanation
Rounding each sprint time to the nearest tenth gives 12.6 + 11.4 + 12.3 + 12.0 + 12.6 = 60.9 seconds. Rounding each time to the nearest hundredth gives 12.57 + 11.43 + 12.32 + 11.98 + 12.60 = 60.90 seconds, which is the same estimate. So the matching techniques are rounding to the nearest tenth and rounding to the nearest hundredth.
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