0
What else can I help you with?
Normal distribution is symmetric about mean or median or mode?
Mean
What is the shape of a distribution when the mean and the median are about the same value?
That would provide some evidence that the distribution is symmetric about the mean (or median).
Is the median is the same thing as the 50th percentile?
Only if the dataset (distribution) you are dealing with in symmetric.
What is the relation between mean mode median in symmetric normal distribution?
They are all the same.
Can the distribution of the mean median and mode be equal if the are positively skewed or negatively skewed or symmetric?
Not necessarily.
If the mean of a symmetric distribution is 130 which of these values could be the median of the distribution?
If it is a symmetric distribution, the median must be 130.
How to find Median of probability distribution?
how do i find the median of a continuous probability distribution
When you calculate mean is the answer same when the same data is calculated by median?
No. The mean and median are not necessarily the same. They will be the same if the distribution is symmetric but the converse is not necessarily true. That is to say, a distribution does not have to be symmetric for the mean and median to be the same. For example, the mean and median of {1, 1, 5, 6, 12} are both 5 but the distribution is NOT symmetric.
Can mean and median have same values?
Yes, they can.Yes, they can. In a symmetric distribution they will be the same.
Normal distribution is symmetric about mean or median or mode?
Mean
What are some examples where the mean the median and the mode might be the same?
(10, 15, 15, 15, 20) The answer above displays a sample in which the sample mean, sample median and sample mode assume the same value. If you were asking about populations, then the population mean, population median and population mode are the same whenever the probability density function for the population is symmetric. For example, the normal probability density function is symmetric, the t and uniform density functions are symmetric. Many are.
What is the shape of a distribution when the mean and the median are the same value?
That would provide some evidence that the distribution is symmetric about the mean (or median).
What is the shape of a distribution when the mean and the median are about the same value?
That would provide some evidence that the distribution is symmetric about the mean (or median).
When data class has the same frequency and same distribution symmetric?
When data has the same frequency and the same distribution, it means that the data points are evenly spread across their range, resulting in a uniform pattern. A symmetric distribution indicates that the data is balanced around a central point, such as the mean, with equal amounts of data on either side. Common examples of symmetric distributions include the normal distribution and the uniform distribution. In such cases, the measures of central tendency (mean, median, and mode) will coincide.
Will the mean and median in a symmetric distribution always be equal or approximately equal and Why?
In a symmetric distribution, the mean and median will always be equal. This is because symmetry implies that the distribution is balanced around a central point, which is where both the mean (the average) and the median (the middle value) will fall. Therefore, in perfectly symmetric distributions like the normal distribution, the mean, median, and mode coincide at the center. In practice, they may be approximately equal in symmetric distributions that are not perfectly symmetrical due to rounding or sampling variability.
For a symmetric distribution of data the mean is equal to which other quantity?
Median.
Can mean and median have one value?
Yes. And in any symmetric distribution, they will.
