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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.


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


Is the mean and median similar?

The Mean is the average of a given set of values. The Median is the value that has the same number of smaller values than the number of higher values, it is in the middle of them. In a symmetrical distribution the Mean is equal to the Median. In an asymmetrical distribution they have different value.


Can the mean be equal to the median?

Yes, and they WILL be if the distribution is symmetrical.


How you get the mode by applying probability distribution?

The mode is the most probable value. Often, you determine the mode by plotting the experimental probability distribution, and finding the peak value. The mode is not necessarily the same as the mean nor the median, unless the distribution is symmetrical.


Symmetrical distribution in statistics and an example?

mean deviation is minimum


In a unimodal symmetrical distribution the mean is equal to?

The median and mode.


Does A symmetrical distribution have a variation.?

Yes, a symmetrical distribution can have variation. Variation refers to the spread of data points around the mean, which can be quantified using measures like variance or standard deviation. Even in a perfectly symmetrical distribution, such as a normal distribution, the data can vary widely; it simply means that the distribution of data points on either side of the mean is balanced.


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.


Are the mean and the median always equal?

No. They are equal only if the distribution is symmetrical.


What would be the implications if the mean mode and median were equivalent?

Your distribution is unimodal and symmetrical.


Is it true that the curve for the normal distribution is symmetrical in respect to the mean?

yes it is true