A country's Energy Information Administration monitors all nuclear pover plants operating in that country. The table to the right lists the number of active nuciear power plants operating in each of a sample of 10 states Ful data se Number of State Power Plants State Power Plants Number of 4 14 3 10 4 a. Find the range, variance, and standard deviation of this data set range -O Sample variance, s =O (Round to three decimal places as needed.) Sample standard deviation, sO(Round to three decimal places as needed.) b. Eliminate the largest value from the data set and repeat part a. What effect does dropping this measurement have on the measures of variation found in part a? range -O s- (Round to three decimal places as needed.) s"O (Round to three decimal places as needed.) What effect does dropping this measurement have on the measures of variation found in part a? Choose the correct answer below. OA The range decreases, but the variance and standard deviation stay the same. OB. It increases the measures of variation. OC. It decreases the measures of variation. OD. There is no effect on the measures of variation. c. Eliminate the smallest and largest values from the original data set and repeat part a. What effect does dropping both of these measurements have on the measures of variation found in part a? range -O = (Round to three decimal places as needed.) s-O (Round to three decimal places as needed.) What effect does dropping both of these measurements have on the measures of variation found in part a? Choose the correct answer below. OA The rangt descanaga byt the Yariange and aandard ranen tay the aamt
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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