Problem_set_1new

# Problem_set_1new - Problem Set 1 Evolution The first 3...

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Unformatted text preview: Problem Set 1 Evolution The first 3 problems are exercises in calculating averages (also called means), starting with the method you are already familiar with and then demonstrating two mathematically equivalent ways (these will be useful later, when we will calculate the average phenotype of individuals of different genotypes in a population). The 4th problem is about calculating a measure of the variation among values, called a variance. 1. You have counted the number of spines on the belly of 10 spiny-bellied worms. Here are the data for the sample: 3,3,3,3,4,5,5,5,5,5. What is the mean number of spines/worm in this sample? 2. In your reading of papers about spiny-bellied worm morphology, you discovered an old French data set that read as follows: 40% of the worms had 3 spines, 50% of the worms had 5 spines, and 10% of the worms had 4 spines. What is the mean number of spines/worm in this sample? How does that relate to problem 1? 3. Another French study showed that blue worms averaged 3 spines, red worms averaged 5 spines, and green worms averaged 4 spines. What is the mean number of spines/worm in a population of 40% blue worms, 50% red worms, and 10% green...
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