2. The speeds (in km/hr) of 14 roller coasters found around the world are given below. Find the median, upper and lower quartiles, the maximum and minimum, then make a box plot to display the data. 149, 85, 85, 120, 128, 107, 85, 104, 105.6, 104, 95, 93, 92, 90 Min: Q1: Median: Q3: Max:
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.
First arrange the data in ascending order.
Median is calculated as,
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