Skip to main content
Ch. 19 - Genetic Analysis of Quantitative Traits
Sanders - Genetic Analysis: An Integrated Approach 3rd Edition
Sanders3rd EditionGenetic Analysis: An Integrated ApproachISBN: 9780135564172Non è quello che usi tu?Cambia libro di testo
Capitolo 19, Problema 6

Calculate the mean, variance, and standard deviation for a sample of turkeys weighed at 8 weeks of age that have the following weights in ounces:
161, 172, 155, 173, 149, 177, 156, 174, 158, 162, 171, 181.

Guida verificata passo dopo passo
1
Step 1: Calculate the mean (average) weight. Add all the weights together and divide by the total number of weights. Use the formula: Mean = ∑xn, where ∑x is the sum of all weights and n is the number of weights.
Step 2: Calculate the variance. First, find the squared difference between each weight and the mean. Then, sum these squared differences and divide by the total number of weights minus one (since this is a sample). Use the formula: Variance = ∑(x - Mean)2n - 1.
Step 3: Calculate the standard deviation. Take the square root of the variance. Use the formula: Standard Deviation = Variance.
Step 4: Verify your calculations by double-checking the sum of weights, the mean, and the squared differences to ensure accuracy.
Step 5: Interpret the results. The mean represents the average weight of the turkeys, the variance indicates the spread of the weights, and the standard deviation provides a measure of how much the weights deviate from the mean on average.

Risposta video verificata per un problema simile:

Questa soluzione video è stata consigliata dai nostri tutor come utile per risolvere questo problema.
Durata del video:
1m

Concetti chiave

Ecco i concetti essenziali che devi comprendere per rispondere correttamente alla domanda.

Mean

The mean is the average value of a set of numbers, calculated by summing all the values and dividing by the total number of values. In this context, it represents the average weight of the turkeys at 8 weeks of age, providing a central value around which the weights are distributed.
Video consigliato:
Percorso guidato
11:06
Mathematical Measurements

Variance

Variance measures the degree of spread in a set of values, indicating how much the individual weights differ from the mean. It is calculated by averaging the squared differences between each weight and the mean, providing insight into the consistency of the weights among the turkeys.
Video consigliato:
Percorso guidato
08:34
Analyzing Trait Variance

Standard Deviation

Standard deviation is the square root of the variance and provides a measure of the average distance of each weight from the mean. It is a key statistic that helps to understand the variability of the weights, with a lower standard deviation indicating that the weights are closely clustered around the mean.
Video consigliato:
Percorso guidato
11:06
Mathematical Measurements