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"A tire manufacturer designed a new tread pattern for its all-weather tires. Repeated tests were conducted on cars of approximately the same weight traveling at $60$ $mph$. The tests showed that the new tread pattern enables the cars to stop completely in an average distance of $125$ $ft$.

For every sample of five cars tested, the average of the maximum and minimum stopping distances is calculated. (This is called the midrange.) Numerous samples give sample midranges graphed in the dotplot below:

Part 1:
One sample of five cars had measurements of stopping distance of $112$ $ft$, $119$ $ft$, $122$ $ft$, $125$ $ft$, and an unknown fifth measurement. The midrange of this sample was equal to the mode of the entire data set graphed above. Therefore, the fifth measurement was
Select Option 119.6120128

feet. Part 2:
Is it possible for any particular sample of five cars to have included a minimum stopping distance greater than $135$ $ft$?
Select Option yesno

Part 3:
One sample of five cars contained a measured stopping distances of $128$ $ft$. There were only two different stopping distances recorded for these five cars. The average of the five stopping distances was $125$ $ft$. The shorter distance of the two that were recorded could NOT have been
Select Option 113120.5122123124.25

feet.
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