Suppose you want to know the variance of the weights of the only six snakes in a particular zoo.

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Use the following information for exercises 1 to 6. Suppose you want to know the variance of the weights of the only six snakes in a particular zoo. You measure their weights to be 8.3, 8.4, 8.6, 8.8, 9.2, and 9.5 pounds. 

 1.      (8 points) Calculate the mean for the population:  __________ 

2.      (56 points; 4 points per cell) Fill in the following table:

Weight	Difference from the Mean	(Difference from the Mean)2
8.3
8.4
8.6
8.8
9.2
9.5
Total of the column:

 

3.      (8 points) Calculate the variance:  __________

 

4.      (8 points) Now suppose those are the weights of six iguanas randomly selected from six different zoos. In that case,  from part (1). Calculate the variance of the sample:  __________

 

5.      (8 points) The population standard deviation is the square root of the population variance. Calculate the population standard deviation using part (2):

 __________ 

6.      (8 points) The sample standard deviation is the square root of the sample variance. Calculate the sample standard deviation using part (3):

__________ 

7.      (4 points) Find the sample variance for the following sample data. Round your answer to the nearest hundredth.

 x:  23, 20, 14, 32, 29

	a.	41.04
	b.	94.81
	c.	51.30
	d.	75.85

 

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