you will receive a set of ten quantitative values for each of three genotypes: aa, Aa, and AA.

Here, A is the risk or increaser allele. We use the genotype codes 0, 1, and 2, corresponding to the number of A alleles in an individual's genotype.

That is, we use the following table:

GENOTYPE CODE GENOTYPE

0 aa

1 Aa

2 AA

EXERCISES

1. For each genotype code's ten quantitative values, compute the mean and standard deviation. When you are finished, you will have three means and three standard deviations.

2. You are given two randomly generated quantitative values. Using your answers from Question 1, determine the corresponding genotype code for the two quantitative values.

TO SUMMARIZE: In Exercise 1, you are to compute three means and three standard deviations. In Exercise 2, you are to select a genotype code value that corresponds to the given phenotype value, and to document how you arrived at that selection. In other words, SHOW YOUR WORK! Thank you...

Exercise 1

Phenotype_Values

Individual Geno Code 0 Geno Code 1 Geno Code 2

1 -3.97 0.935 5.51

2 -3.99 -1.18 5.63

3 -5.55 0.132 6.29

4 -4.56 0.413 4.82

5 -4.51 -0.407 3.27

6 -4.2 0.237 6.03

7 -4.95 -0.303 4.51

8 -4.56 -0.863 4.51

9 -4 -0.33 4.74

10 -5.68 -1.09 7.1

Exercise 2

Individual Phenotype_Value

1 5.11

2 5.03

Respuesta :

Mean for the Geno Code 0 is average of those ten values ((-3.97)+(-3.99) +(-5.55)+ (-4.56) + (-4.51) + (-4.2 )+( -4.95) + (-4.56) + (-4 )+ (-5.68))/10= -4.597

Standard deviation formula is √((-3.97- (-4.597)2 )+(-3.99-(-4.597)2) +(-5.55-(-4.597)2)+ (-4.56-(-4.597)2) + (-4.51-(-4.597)2) + (-4.2-(-4.597) 2 )+( -4.95-(-4.597)2) + (-4.56-(-4.597)2) + (-4 -(-4.597)2)+ (-5.68-(-4.597)2))/10= √  (0.39+0.37+0.91+0.001+0.007+0.16+0.12+0.001+0.36+1.17)/10= √0.3489=0.59

Mean for the Geno 1 is -0.25 (calculated on the same way as for Geno 0 with different numbers)  and standard deviation for Geno 1 is 0.65.

Mean for Geno 2 is 5.241 and standard deviation is 1.038.

2.

If individual Phenotype_Value is 5.11, the corresponding genotype code is Geno code 2 since the value is in the range of values 5.241+- 1.

If individual Phenotype_Value is 5.03 the corresponding genotype code is also Geno code 2.

Since the standard deviation is used to measure the variation (dispersal) of set of data values (how close the values are to the mean value) we can conclude whether are random value is within a certain range.