1. (25 marks) The U.S. Energy Information Administration monitors all nuclear power plants operating in the United State

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1 25 Marks The U S Energy Information Administration Monitors All Nuclear Power Plants Operating In The United State 1 (103.36 KiB) Viewed 33 times

1. (25 marks) The U.S. Energy Information Administration monitors all nuclear power plants operating in the United States. The following table lists the number of active nuclear power plants operating in each of a sample of 20 states. Number of Power Plants 5 3 4 5 4 12 1 2 1 State Alabama Arizona California Florida Georgia Illinois Kansas Louisiana Massachusetts Mississippi New Hampshire New York North Carolina Ohio Pennsylvania South Carolina Tennessee Texas Vermont Wisconsin 1 1 6 5 2 10 7 3 4 1 4 (a) Find the mean, median, and mode of this data set. (6 marks) (b) Find the range, variance, and standard deviation of this data set. (6 marks) (c) Arrange the 20 values in the table from lowest to highest. Eliminate the lowest two values and the highest two values from the data set. i. Find the mean (this result is called a "10% trimmed mean", since it is calculated after moving the highest 10% and the lowest 10% of the data values), median and mode of the remaining data values. (3 marks) ii. What advantages does a trimmed mean have over the regular arithmetic mean? (4 marks) iii. Then repeat (b). (3 marks) iv. What effect does dropping both of these measurements have on the mea- sures of variation found in part (b). (3 marks)