Discussion
Which one of the following is the correct geometric mean of the data set : 0,50,100,100,150,250,450,500 ?
Answer: D
The geometric mean is the nth root of the product of the values, so if any value in the data set is zero the product is zero and the geometric mean is also zero. The set 0, 50, 100, 100, 150, 250, 450, 500 contains a zero, so the geometric mean is 0, option D, and the values 125, 100 and 200 are not the geometric mean of the data. This is a special property of the geometric mean, which is why it is not used with data that contain zeros, in contrast with the arithmetic mean, which would be 200 for the same set.
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