You call it a bell shaped curved. It may or may not be Gaussian (Normal).
It is a symmetrical, "bell-shaped" curve. The tails are infinitely long.
The transformation always creates a normal shaped distribution.
Yes. By definition. A normal distribution has a bell-shaped density curve described by its mean and standard deviation. The density curve is symmetrical(i.e., an exact reflection of form on opposite sides of a dividing line), and centered about (divided by) its mean, with its spread (width) determined by its standard deviation. Additionally, the mean, median, and mode of the distribution are equal and located at the peak (i.e., height of the curve).
The distribution of the sample mean is bell-shaped or is a normal distribution.
No.
Normal distribution is a perfectly symmetrical bell-shaped normal distribution. The bell curve is used to find the median, mean and mode of a function.
The pattern is called a normal distribution, or a bell curve. It is characterized by symmetrical data points around the mean, with most scores clustering around the average and progressively fewer scores as you move away from the mean in either direction.
It is a symmetrical, "bell-shaped" curve. The tails are infinitely long.
Gaussian distribution. Some people refer to the normal distribution as a "bell shaped" curve, but this should be avoided, as there are other bell shaped symmetrical curves which are not normal distributions.
The distribution described is a normal distribution. It is characterized by a symmetric bell-shaped curve where the mean, median, and mode are all equal and located at the center of the distribution.
The transformation always creates a normal shaped distribution.
Eclipse
No. They are symmetrical and bell-shaped.
I have included two links. A normal random variable is a random variable whose associated probability distribution is the normal probability distribution. By definition, a random variable has to have an associated distribution. The normal distribution (probability density function) is defined by a mathematical formula with a mean and standard deviation as parameters. The normal distribution is ofter called a bell-shaped curve, because of its symmetrical shape. It is not the only symmetrical distribution. The two links should provide more information beyond this simple definition.
Yes. By definition. A normal distribution has a bell-shaped density curve described by its mean and standard deviation. The density curve is symmetrical(i.e., an exact reflection of form on opposite sides of a dividing line), and centered about (divided by) its mean, with its spread (width) determined by its standard deviation. Additionally, the mean, median, and mode of the distribution are equal and located at the peak (i.e., height of the curve).
A bell shaped probability distribution curve is NOT necessarily a normal distribution.
True * * * * * No. The Student's t-distribution, for example, is also bell shaped.