PDF generated at: Sat, 01 Feb :11:01 UTCĢ Contents Articles Summary Statistics 1 Mean 1 Median 6 Mode (statistics) 15 Variance 20 Standard deviation 32 Coefficient of variation 46 Skewness 49 Kurtosis 55 Ranking 61 Graphics 65 Box plot 65 Histogram 68 Q Q plot 74 Ternary plot 79 Distributions 84 Normal distribution 84 Student's t-distribution 113 F-distribution 128 Feature scaling 131 Correlation and Regression 134 Covariance 134 Correlation and dependence 138 Regression analysis 144 Path analysis (statistics) 154 Analysis 156 Moving average 156 Student's t-test 162 Contingency table 171 Analysis of variance 174ģ Principal component analysis 189 Diversity index 205 Diversity index 205 Clustering 210 Hierarchical clustering 210 K-means clustering 215 Matrix 225 Matrix (mathematics) 225 Matrix addition 247 Matrix multiplication 249 Transpose 263 Determinant 266 Minor (linear algebra) 284 Adjugate matrix 287 Invertible matrix 291 Eigenvalues and eigenvectors 298 System of linear equations 316 References Article Sources and Contributors 326 Image Sources, Licenses and Contributors 332 Article Licenses License 335Ĥ 1 Summary Statistics Mean In mathematics, mean has several different definitions depending on the context.
If the equation has a squared y term instead of a squared x term, the parabola will be oriented horizontally and open sideways, to the right or left, like a "C" or a backward "C." For example, the parabola y 2 = x + 3 opens to the right, like a "C.1 Al-Kashi Background Statistics PDF generated using the open source mwlib toolkit. This parabola will be shaped like a "U" because the a value (2) is positive. Let’s say you have the following equation: y = 2x 2 -1. X Expert Source Jake AdamsĪcademic Tutor & Test Prep Specialist Expert Interview. If you have trouble remembering this, think of it this way: an equation with a positive a value looks like a smile an equation with a negative a value looks like a frown. If the a is negative, the parabola opens downward and has a vertex at its maximum point. If the coefficient a in the equation is positive, the parabola opens upward (in a vertically oriented parabola), like the letter "U", and its vertex is a minimum point. It can also be written in the even more general form y = a(x – h)² + k, but we will focus here on the first form of the equation. The general equation of a parabola is y = ax 2+ bx + c. If it opens downward or to the left, the vertex is a maximum point. If the parabola opens upward or to the right, the vertex is a minimum point of the curve. The point where the axis of symmetry crosses the parabola is called the vertex of the parabola. This is a straight line that passes through the turning point ("vertex") of the parabola and is equidistant from corresponding points on the two arms of the parabola. The parabola is the locus (series) of points in which any given point is of equal distance from the focus and the directrix. A fixed point on the interior of the parabola that is used for the formal definition of the curve. 
Here are the parts of the parabola that you'll need to know: X Research source You may be given certain information prior to beginning, and knowing the terminology will help you avoid any unnecessary steps.
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