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# Question 6 A​ country's Energy Information Administration monitors all nuclear power plants operating in that country....

Question 6

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Eliminate the smallest and largest values from the data set. Then, find the​ mean of this data set. (Round to three decimal places as​ needed.)

_______________

Question 7

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

What effect does eliminating the largest and smallest values from the data set have on the mean?

A.) It decreases the mean, because the largest (as opposed to the smallest) value is more of an outlier

B.) It increases the mean, because the smallest (as opposed to the largest) value is more of an outlier

C.) It increases the mean, because the largest (as opposed to the smallest) value is more of an outlier

D.) It decreases the mean, because the smallest (as opposed to the largest) value is more of an outlier

Question 8

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Find the​ variance of this data set. (Round to three decimal places as​ needed.)

_______________

Question 9

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Find the​ standard​ deviation of this data set. (Round to three decimal places as​ needed.)

_____________________

Question 10

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Eliminate the largest value from the data set. Then, find the​ new variance of this data set. (Round to three decimal places as​ needed.)

_____________________

Question 11

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Eliminate the largest value from the data set. Then, find the​ new standard​ deviation of this data set. (Round to three decimal places as​ needed.)

__________________

Question 12

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

What effect does eliminating the largest value from the data set have on the variance and standard deviation?

a.)It decreases the variance and standard deviation.

b.) It increases the variance and standard deviation

c.) There is no effect on the variance and standard deviation

Question 13

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Eliminate the smallest value from the data set. Then, find the​ variance of this data set. (Round to three decimal places as​ needed.)

Question 14

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Eliminate the smallest value from the data set. Then, find the​ standard deviation of this data set. (Round to three decimal places as​ needed.)

Question 15

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

What effect does eliminating the smallest value from the data set have on the variance and standard deviation?

Group of answer choices

It decreases the variance and standard deviation.

There is no effect on the variance and standard deviation.

It increases the variance and standard deviation.

Question 16

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Does eliminating either the largest or the smallest value from the data set have a greater effect on the variance and standard deviation?

a.)Smallest value, because the smallest (as opposed to the largest) value is more of an outlier in the dataset.

b.)Largest value, because the smallest (as opposed to the largest) value is more of an outlier in the dataset.

c.)Largest value, because the largest (as opposed to the smallest) value is more of an outlier in the dataset.

d.)Smallest value, because the largest (as opposed to the smallest) value is more of an outlier in the dataset.

Question 17

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Eliminate the the smallest and largest values from the data set. Then, find the​ variance of this data set. (Round to three decimal places as​ needed.)

__________________

Question 18

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

Eliminate the the smallest and largest values from the data set. Then, find the​ standard​ deviation of this data set. (Round to three decimal places as​ needed.)

______________________

Question 19

A​ country's Energy Information Administration monitors all nuclear power plants operating in that country. The table below lists the number of active nuclear power plants operating in each of a sample of 10 states.

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 7 2 8 3 9 13 10 3

What effect does eliminating the smallest and largest values from the data set have on the variance and standard deviation?

a.)There is no effect on the variance and standard deviation.

b.)It decreases the variance and standard deviation.

c.)It increases the variance and standard deviation.

Question 20

The variance and the standard deviation must necessarily decrease in response to eliminating the largest value, the smallest value, or (especially) both the largest and smallest values of a dataset.

True

False

#### Homework Answers

Answer #1

6:

Eliminating the largest and smallest data value gives the followng data set:

 State Number of Power Plants 1 5 2 5 3 9 4 8 5 4 6 4 8 3 10 3 Total 41

The mean of above data set is:

7:

A.) It decreases the mean, because the largest (as opposed to the smallest) value is more of an outlier

8 - 9:

Following table shows the calculations for variance and standard deviation:

 X (X-mean)^2 5 0.36 5 0.36 9 11.56 8 5.76 4 2.56 4 2.56 2 12.96 3 6.76 13 54.76 3 6.76 Total 56 104.4

10 -11:

Following table shows the calculations after removing largest data value:

 X (X-mean)^2 5 0.0484 5 0.0484 9 17.8084 8 10.3684 4 0.6084 4 0.6084 2 7.7284 3 3.1684 3 3.1684 Total 43 43.5556

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