Question

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.)

Answer 1

Formula for variance & standard deviation is as follows -

We first calculate variance of given data -

x	(x-x_bar)^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
56	104.4

Calculations -

Now, we will calculate variance of the data by eliminating smallest & largest value of the data. Smallest value is 2 & largest value is 13, so we eliminate 2 & 13 from the data.

Observation table -

x	(x-x_bar)^2
5	0.015625
5	0.015625
9	15.01563
8	8.265625
4	1.265625
4	1.265625
3	4.515625
3	4.515625
41	34.875

Calculations -

We calculate standard deviation of given data -

Calculations -

Now, we will calculate standard deviation of the data by eliminating smallest & largest value of the data. Smallest value is 2 & largest value is 13, so we eliminate 2 & 13 from the data.