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Are the mean median and the mode the same in a unimodal symmetrical distribution?
No they are not the same in a unimodal symmetrical distribution and they will never be
In a perfectly symmetrical unimodal distribution is the mode and the median the same as the mean?
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).
The mean of a symmetrical distribution is 40What is its median?
for symmetrical distributions your mean equals the median. that is one of the properties of the symmetrical distribution.
In a perfectly symmetrical bell-shaped normal distribution?
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.
Is it true that the curve for the normal distribution is symmetrical in respect to the mean?
yes it is true
Are the mean median and the mode the same in a unimodal symmetrical distribution?
No they are not the same in a unimodal symmetrical distribution and they will never be
What would be the implications if the mean mode and median were equivalent?
Your distribution is unimodal and symmetrical.
In a perfectly symmetrical unimodal distribution is the mode and the median the same as the mean?
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).
Can the mean be equal to the median?
Yes, and they WILL be if the distribution is symmetrical.
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
The mean of a symmetrical distribution is 40What is its median?
for symmetrical distributions your mean equals the median. that is one of the properties of the symmetrical distribution.
What is one indicator of normality?
One indicator of normality is when a data set follows a bell-shaped distribution, also known as a normal distribution. This can be visually represented by a symmetrical, unimodal curve where most of the data points cluster around the mean with decreasing frequency as they move away from the center.
How come the mean is less than the median?
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.
A distribution with a shape that is symmetrical around the mean with a bell shape is described as?
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.
Is chi-square distribution symmetrical about mean value?
No.
Symmetrical distribution in statistics and an example?
mean deviation is minimum
In a perfectly symmetrical bell-shaped normal distribution?
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.
