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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.
Euclidian Metric :
The Euclidean distance between points p and q is the length of the line segment connecting them.
On the cartesian co-ordinates of and then the Euclidean distance is given by
![{\displaystyle {\begin{aligned}d(\mathbf {p} ,\mathbf {q} )=d(\mathbf {q} ,\mathbf {p} )&={\sqrt {(q_{1}-p_{1})^{2}+(q_{2}-p_{2})^{2}+\cdots +(q_{n}-p_{n})^{2}}}\\[8pt]&={\sqrt {\sum _{i=1}^{n}(q_{i}-p_{i})^{2}}}.\end{aligned}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/795b967db2917cdde7c2da2d1ee327eb673276c0)
Open Set in a metric space :
A set is said to be open in a metric space iff all the points of the set is an interior point.
i.e. for an arbitrary point 'x' in the set S, there exists a neighbourhood (B(x,r): an open ball with centre at x and radius 'r') containing that point "x" such that the neighbourhood is completely contained in the set.
i.e
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