Your distribution is unimodal and symmetrical.
MEAN
In a normal distribution, the mean, median, and mode are all equal. Therefore, if both the mean and the mode are 25, the median would also be 25. This property is a defining characteristic of normal distributions.
The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5
mean = 19.833... median = 19.5 mode = 19
Quantitative data typically has a mean, median, and mode, but there are specific scenarios where these measures might not apply meaningfully. For example, if all values in a dataset are identical, the mean and median would equal that value, but there would be no mode in the traditional sense. Additionally, in the case of an empty dataset, there would be no mean, median, or mode, as there are no values to calculate these statistics from. However, in general practice, quantitative data usually allows for the calculation of these measures.
The median would not change, but the mean would increase.
That would provide some evidence that the distribution is symmetric about the mean (or median).
That would provide some evidence that the distribution is symmetric about the mean (or median).
MEAN
The mean deviation from the median is equal to the mean minus the median.
In a normal distribution, the mean, median, and mode are all equal. Therefore, if both the mean and the mode are 25, the median would also be 25. This property is a defining characteristic of normal distributions.
An outlier will pull the mean and median towards itself. The extent to which the mean is affected will depend on the number of observations as well as the magnitude of the outlier. The median will change by a half-step.
I use it in class when looking at my student's scores... Often I look at mean, median, and mode to decide to reteach a concept or not.
The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5The median of 65 and 90 is the same as their mean: 77.5
mean = 19.833... median = 19.5 mode = 19
who discovered mean median and mode
Mean, Median and Mode. They are three kinds of averages.