| No. |
Mode |
Median |
Mean |
| 1 |
It is the most frequent value in the distribution; it is the
point of greatest density. |
It is the value of the middle point of the array (not midpoint
of range), such that half the item are above and half below it. |
It is the value in a given aggregate which would obtain if
all the values were equal. |
| 2 |
The value of the mode is established by the predominant frequency,
not by the value in the distribution. |
The value of the media is fixed by its position in the array
and doesn't reflect the individual value. |
The sum of deviations on either side of the mean are equal;
hence, the algebraic sum of the deviation is equal zero. |
| 3 |
It is the most probable value, hence the most typical. |
The aggregate distance between the median point and all the
value in the array is less than from any other point. |
It reflect the magnitude of every value. |
| 4 |
A distribution may have 2 or more modes. On the other hand,
there is no mode in a rectangular distribution. |
Each array has one and only one median. |
An array has one and only one mean. |
| 5 |
The mode does not reflect the degree of modality. |
It cannot be manipulated algebraically: medians of subgroups
cannot be weighted and combined. |
Means may be manipulated algebraically: means of subgroups
may be combined when properly weighted. |
| 6 |
It cannot be manipulated algebraically: modes of subgroups
cannot be combined. |
It is stable in that grouping procedures do not affect it appreciably. |
It may be calculated even when individual values are unknown,
provided the sum of the values and the sample size n are known. |
| 7 |
It is unstable that it is influenced by grouping procedures. |
Value must be ordered, and may be grouped, for computation. |
Values need not be ordered or grouped for this calculation. |
| 8 |
Values must be ordered and group for its computation. |
It can be compute when ends are open |
It cannot be calculated from a frequency table when ends are
open. |
| 9 |
It can be calculated when table ends are open. |
It is not applicable to qualitative data. |
It is stable in that grouping procedures do not seriously affected
it. |