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What else can I help you with?
What is the relation between mean mode median in symmetric normal distribution?
They are all the same.
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 uniform probability distribution is symmetric about the mean and median?
yes
Can the distribution of the mean median and mode be equal if the are positively skewed or negatively skewed or symmetric?
Not necessarily.
What is the distribution when the mean median and mode are the same?
The normal distribution.
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.
What is the relation between mean mode median in symmetric normal distribution?
They are all the same.
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.
Is the mean always equal to the median for a normal distribution?
Yes, in a normal distribution, the mean is always equal to the median. This is because the normal distribution is symmetric around its mean, meaning that the values are evenly distributed on both sides. As a result, the central tendency measured by both the mean and the median coincides at the same point.
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.
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).
Is the uniform probability distribution is symmetric about the mean and median?
yes
Can mean and median have same values?
Yes, they can.Yes, they can. In a symmetric distribution they will be the same.
What is the relationship amount the mean median and mode in a symmetric disribution?
In a symmetric distribution, the mean, median, and mode are all equal or located at the same central point. This characteristic ensures that the distribution is balanced on either side, with half of the data points falling below the central value and half above it. Therefore, in a perfectly symmetric distribution, such as a normal distribution, these three measures of central tendency coincide.
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.
For a symmetric distribution of data the mean is equal to which other quantity?
Median.
