Below, there are examples of the different possible relationships between the mode, median, and mean:

**MEAN = MEDIAN = MODE** – For symmetric histograms with one central peak, **all** measures are **equal** (mode: **red line**, median: **orange line**, mean: **blue line**).

**MEAN = MEDIAN > MODE** – One peak on the left shows the mode (**red line**), which is **smaller** than the median (**orange line**) and the mean (**blue line**). The **right tail** is quite short, and it is balanced by the observations **on the left**; this is shown by the position of the median.

**MEAN \leq MEDIAN \leq MODE ** – The median (**orange line**) is near the **peak** because there are the same number of elements in the four **leftmost bins** (4 times 10, or a total of 40) as there are in the **rightmost bin**, which has **40 elements**. The mean (**blue line**) is shifted to the **left** because it takes into account elements' values. The mode (**red line**) stays in the **peak** with the **most frequent** values.

**MEAN \geq MEDIAN \geq MODE** – The position of the mode is obviously at **0** (**red line**). Due to the values of the elements and the number of each, both the mean (**blue line**) and the median (**orange line**) are shifted to the **right**.