VALUES OF FRACTURE STRESS (IN MPA) FOR DIFFERENT MIXTURES OF HOT-MIXED ASPHALT 236 30 79 138 470 80 179 80 254 242 179 232 149 247 75 240 232 274 245 126 105 384 191 223
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.
For a certain experiment, the following values of fracture stress (in megapascals) presented below were measured for a sample of 24 mixtures of hot-mixed asphalt (HMA).
Determine the
median,
the lower
the upper quartile,
and the 65th percentile
of the measurements.
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