Symmetric
Bell-shaped, unimodal, symmetric
A circle,An ellipse, A sphere,A normal (Gaussian) distribution.A circle,An ellipse, A sphere,A normal (Gaussian) distribution.A circle,An ellipse, A sphere,A normal (Gaussian) distribution.A circle,An ellipse, A sphere,A normal (Gaussian) distribution.
While skewness is the measure of symmetry, or if one would like to be more precise, the lack of symmetry, kurtosis is a measure of data that is either peaked or flat relative to a normal distribution of a data set. * Skewness: A distribution is symmetric if both the left and right sides are the same relative to the center point. * Kurtosis: A data set that tends to have a distant peak near the mean value, have heavy tails, or decline rapidly is a measure of high kurtosis. Data sets with low Kurtosis would obviously be opposite with a flat mean at the top, and a distribution that is uniform.
in 2 and 3 dimensions they turn out to be pretty much the same, but what would perpendicular mean in 4 or 6 dimensions? For example a line perpendicular to another intersects it and creates a 90 degree angle, it is also normal and a line can be normal to a plane also. Normal is a more general term that can be used in higher dimensions and other setting where perpendicular might make no sense. For example, if you know what a dot product is that two vectors are normal if their dot product is zero, These may be n dimensional vectors and perpendicular would make no sense. In many more abstract settings normal works but perpendicular would have no meaning at all. There are more technical explanations but I hope to make this answer more intuitive! There is a very slight difference between NORMAL and PERPENDICULAR. Well NORMAL is that perpendicular which is drawn at the contact point between two meeting lines. Its simple as this. For example in case of tangents (which is drawn to find the direction of a point in a curve) the perpendicular draw at the meeting point of the tangent and the curve is called normal. Its like, every normal is a perpendicular but all perpendiculars are not normal. I hope this clears all your doubt.
the same as normal symmetry
The Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.
Don't know what "this" is, but all symmetric distributions are not normal. There are many distributions, discrete and continuous that are not normal. The uniform or binomial distributions are examples of discrete symmetric distibutions that are not normal. The uniform and the beta distribution with equal parameters are examples of a continuous distribution that is not normal. The uniform distribution can be discrete or continuous.
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Mean
The statement is false. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
The Normal ditribution is symmetric but so are other distributions.
No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
It is a continuous parametric distribution belonging to the family of exponential distributions. It is also symmetric.
They are both continuous, symmetric distribution functions.
yes, it's always symmetric
A small partial list includes: -normal (or Gaussian) distribution -binomial distribution -Cauchy distribution
No. The Normal distribution is symmetric: skewness = 0.