The data to the right contain the per-capita energy consumption, in kilowatt-hours, for each of the 20 provinces of a nation. Complete parts (a) through (c) below. 15,628 14,954 14,051 12,803 12,051 11,978 11,264 11,175 10,689 10,193 9,806 9,649 9,615 9,167 9,100 8,847 7,449 6,722 5,457 4,122 What percentage of these provinces has average per-capita energy consumption within ±1 standard deviation of the mean within ±2 standard deviations of the mean, and within ±3 standard deviations of the mean? The percentage within ±1 standard deviation of the mean is __%
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.
| 15,628 | 14,954 | 14,051 | 12,803 | 12,051 |
| 11,978 | 11,264 | 11,175 | 10,689 | 10,193 |
| 9,806 | 9,649 | 9,615 | 9,167 | 9,100 |
| 8,847 | 7,449 | 6,722 | 5,457 | 4,122 |
standard deviations of the mean, and within ±3 standard deviations of the mean?
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