Smolts are young salmon at a stage when their skin becomes covered with silvery

Question

Smolts are young salmon at a stage when their skin becomes covered with silvery scales and they start to migrate from freshwater to the sea. The reflectance of a light shined on a smolt's skin is a measure of the smolt's readiness for the migration. Here are the reflectances, in percents, for a sample of 50 smolts. (a) Find the mean reflectance for these smolts. (b) Find the median reflectance for these smolts. (c) Do you prefer the mean or the median as a measure of center for these data? Give reasons for your preference.

Explanation / Answer

a) Using given data of smolts we get mean = 50.88

b) and median = 49.40

c) Here mean > median.

We know when mean is greater than median then given distribution of data is positive skewed.

And when distribution of data is skewed then we prefer median as a center of data.

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