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Question

Phytopigments are a marker of the amount of organic matter that settles in sediments. Phytopigment concentrations in deep-sea sediments collected world-wide showed a very strong right-skew. Of these two summary statistics, 0.015 and 0.009 grams per square meter of bottom surface, which one is the mean and which one is the median? Explain your reasoning.

Solution

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1 of 2Given: distribution is right-skewed.

For a right-skewed distribution, the mean is higher than the median, because the mean is influenced by the high extreme values of the right-skewed distribution.

$MEAN=\overline{x}=0.015\text{ grams}$

$MEDIAN=0.009\text{ grams}$

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