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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.
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
What would be the implications if the mean mode and median were equivalent?
Your distribution is unimodal and symmetrical.
What is skewness how would you find it in a non symmetrical distribution?
Skewness is a measure of the asymmetry in a distribution. In a non-symmetrical distribution, skewness can be calculated using a formula that considers the deviation of each data point from the mean. A positive skewness indicates a longer tail on the right side of the distribution, while a negative skewness indicates a longer tail on the left side.
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
Can the mean be equal to the median?
Yes, and they WILL be if the distribution is symmetrical.
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.
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.
In a unimodal symmetrical distribution the mean is equal to?
The median and mode.
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.
Are the mean and the median always equal?
No. They are equal only if the distribution is symmetrical.
Is it true that the curve for the normal distribution is symmetrical in respect to the mean?
yes it is true
What would be the implications if the mean mode and median were equivalent?
Your distribution is unimodal and symmetrical.
What is the nature of symmetry if median is greater than the mean?
Generally, when the median is greater than the mean it is because the distribution is skewed to the left. This results in outliers or values further below the median than above the median which results in a lower mean value than median value. When a distribution is skewed left, it is generally not very symmetrical or normally distributed.
