The following data represent the length of life in years, measured to the nearest tenth, of 100 similar fuel pumps: 3.6 4.1 3.8 3.2 3.9 3.2 2.9 2.0 3.2 2.2 1.4 4.6 4.4 1.8 2.1 3.5 1.9 3.0 2.2 3.6 1.0 4.7 3.5 4.5 2.3 3.2 3.9 3.4 2.5 4.6 3.7 1.8 2.8 1.2 4.3 1.5 1.0 4.9 3.1 2.9 2.6 3.8 1.2 3.9 2.4 2.8 4.0 2.8 3.4 4.5 3.6 1.2 2.3 1.2 3.5 2.5 3.4 3.5 4.9 1.3 4.6 4.5 3.0 1.6 3.8 3.3 3.8 2.3 2.9 3.2 4.4 4.5 1.9 2.9 4.9 2.7 3.3 3.2 1.9 3.1 3.5 4.8 2.6 3.5 2.4 3.5 4.6 2.8 3.9 4.2 4.2 2.8 3.7 3.1 2.9 2.5 4.5 3.4 4.6 2.9 а. Starting with the lowest value as the first lower class limit, construct a frequency distribution. Note:Use K(Sturges formula) to estimate the number of classes (do not round-off). b Determine the class marks, class boundaries, relative frequency, CF.
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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