Consumption of Natural Gas: Following data represents the energy consumption of natural gas (in billions of Btu) by the 50 states and the District of Columbia. 474 475 205 639 197 344 3 409 247 66 377 87 747 1166 223 248 958 406 251 3462 2391 514 371 58 224 530 317 267 769 9 188 289 76 678 331 52 214 165 255 319 34 1300 284 834 114 1082 73 62 95 393 Part a Find Arithmetic Mean, Geometric Mean, Harmonic Mean and Root Mean Square (using discrete data values)
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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