The Mean And The Median Are The Same For All Distributions. For example the mean exam score for students in the example above is 81. The mean median and mode are the same value The area under the curve is equal to 10.
Yes the normal distribution is symmetric around its peak value maximum value or the mode and therefore the mean median and the mode are all the same. μ ab 2 μ a b 2. Jun 24 2020 Unfortunately the mean and median arent useful to know for a bimodal distribution.
In a perfectly symmetrical distribution the mean and the median are the same.
For the mean scores to be the same the total of the scores of the ten pupils in both English and Maths would have to be the same. Jan 11 2021 Is the mean larger than the median as it usually is for distributions with a positive skew. The relationship among the mean median. So although the median is a better statistic the mean is still pretty good.