A uniform distribution is not considered unimodal because it has a constant probability density across its range, meaning there are no peaks or modes. In a unimodal distribution, there is one clear peak where the values cluster, while in a uniform distribution, all values within the specified range are equally likely. Therefore, it lacks a single mode.
It may be or may not be; however a normal distribution is unimodal.
No, the normal distribution is strictly unimodal.
Your distribution is unimodal and symmetrical.
Yes, the normal distribution curve is unimodal, meaning it has a single peak or mode. This peak represents the mean, median, and mode of the distribution, which are all located at the center of the curve. The symmetry of the normal distribution around this central peak is a key characteristic, contributing to its widespread use in statistics and probability theory.
A uniform distribution.A uniform distribution.A uniform distribution.A uniform distribution.
It may be or may not be; however a normal distribution is unimodal.
No they are not the same in a unimodal symmetrical distribution and they will never be
No, it is in general not true - for example for uniform distribution on [0,1] every number in the interval is a mode, but the mean is 1/2. The correct answer would be that a symmetric unimodal distribution has one mode equal to the mean (but may have modes elsewhere).
Yes it is.
No, the normal distribution is strictly unimodal.
No. Normal distribution is a special case of distribution.
The median and mode.
Your distribution is unimodal and symmetrical.
A uniform distribution.A uniform distribution.A uniform distribution.A uniform distribution.
If the distribution is not symmetric, the mean will be different from the median. A negatively skewed distribution will have a mean hat is smaller than the median, provided it is unimodal.
Please consider the probability density function graphs for the beta distribution, given in the link. For alpha=beta=2, the density is unimodal, which is to say, it has a single maximum. In contrast, for alpha=beta=0.5, the density is bimodal; it has two maxima.
No, a bimodal distribution is characterized by having two distinct modes, or peaks, in its probability distribution. This differs from a unimodal distribution, which has only one mode. Bimodal distributions can indicate the presence of two different underlying processes or populations within the data.