Relative Position of Arithmetic Mean, Median and Mode

For a given distribution the three averages usually stand in a fixed order relative to one another. Writing arithmetic mean $= M_e$, median $= M_i$ and mode $= M_o$, their relative magnitudes are:

$M_e > M_i > M_o \qquad \text{or} \qquad M_e < M_i < M_o$ …