The average January surface water temperatures (°C) of Lake Michigan from 2000 to 2009 were 5.07, 3.57, 5.32, 3.19, 3.49, 4.25, 4.76, 5.19, 3.94, and 4.34. | The mean value of these temperatures is 4.312. | What is the variance of this data set?

Subtract the mean, 4.312, from each temperature and square each difference. The squared differences add to 5.19036; dividing by the 10 temperatures gives a variance of 0.519036, which rounds to 0.5192. Therefore, the correct choice is B, 0.5192.

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