The Normal ditribution is symmetric but so are other distributions.
Neither. It is symmetrical.
Yes it is. The normal distribution is symmetrical around the mode. Therefore the median has to be the same :)
yes, it's always symmetric
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.
The symmetrical bell-shaped curve you're describing is known as a normal distribution. In this distribution, most scores cluster around the mean, with fewer scores appearing as you move away from the mean in either direction. This characteristic shape indicates that data points are more likely to occur near the average, with the probability of extreme scores decreasing as you move away from the center. The normal distribution is foundational in statistics, as many statistical tests assume that the data follows this pattern.
No. The binomial distribution (discrete) or uniform distribution (discrete or continuous) are symmetrical but they are not normal. There are others.
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 Normal distribution is, by definition, symmetric. There is no other kind of Normal distribution, so the adjective is not used.
Certainly.
It is symmetrical
It is not necessary that all symetric distribution may be normal.
Neither. It is symmetrical.
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 (or Gaussian) distribution is a symmetrical probability function whose shape is determined by two values: the mean and variance (or standard deviation).According to the law of large numbers, if you take repeated independent samples from any distribution, the means of those samples are distributed approximately normally. The greater the size of each sample, or the greater the number of samples, the more closely the results will match the normal distribution. This characteristic makes the Normal distribution central to statistical theory.
Yes it is. The normal distribution is symmetrical around the mode. Therefore the median has to be the same :)
symmetrical :)i do believe!hope this helps!Pixiex
Skewness is not a characteristic.