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Multiple Choice
The table shows a distribution of bristle numbers in a Drosophila population. What is the variance?
A
1.0
B
1.2
C
5.5
D
3.0
Verified step by step guidance
1
First, understand that variance is a measure of how much the values in a data set differ from the mean. It is calculated as the average of the squared differences from the mean.
To calculate the variance, you need to find the sum of the squared differences from the mean for each bristle number, which is already provided in the 'Sum (X-M)^2' column.
Add up all the values in the 'Sum (X-M)^2' column to get the total sum of squared differences. In this case, add 27.38, 21.87, 26.01, 14.21, 4.95, 30.42, and 21.16.
Next, calculate the total number of individuals in the population by summing up the 'Number of Individuals' column: 2 + 3 + 9 + 29 + 55 + 18 + 4.
Finally, divide the total sum of squared differences by the total number of individuals to find the variance. This will give you the average squared difference from the mean, which is the variance.