On January 28, 1986, the Space Shuttle Challenger broke apart 73 seconds into its flight, killing all seven astronauts on board. All investigations into reasons for the disaster pointed towards the failure of an O-ring in the rocket€™s engine. Given below is a dotplot and some descriptive statistics on O-ri1ng temperature (°F) for each test firing or actual launch of the shuttle rocket engine.
a. The numeric values of two possible measures of center are calculated to be 65.86°F and 67.50°F. Which one of these is the mean and which the median? How are you deciding?
b. If we removed the observation 31°F from the data set, how would the following numerical statistics change, if at all?

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Mean: Median: Standard deviation: Smaller Smaller Same Larger Larger Smaller Same Same Larger et 35 42 49 63 56 O-ring temperature (°F) 70 77 84