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If the mean of a distribution is 105 what is the median of the distribution?
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How are the mode and median the same?
Mean, median, and mode are all equal in a normal distribution.
Are the mean and median equal in a chi-square distribution?
No.
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.
In which situations mean and median are not same?
If there is any skewness in the distribution.
Are the mean mode median are same in normal distribution?
Yes.
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.
When is data negatively or positively skewed?
i) Since Mean<Median the distribution is negatively skewed ii) Since Mean>Median the distribution is positively skewed iii) Median>Mode the distribution is positively skewed iv) Median<Mode the distribution is negatively skewed
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).
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 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).
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.
What is the distribution when the mean median and mode are the same?
The normal 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.
When is the median more useful than the mean?
When the distribution has outliers. They will skew the mean but will not affect the median.
Normal distribution is symmetric about mean or median or mode?
Mean
Is the 50th percentile of a distribution the same as the distribution mean?
Mean = average and median = the middle value in an array of all values received. So to answer your question the 50th percentile of a distribution is the same as median.
How are the mode and median the same?
Mean, median, and mode are all equal in a normal distribution.
