Mode

Mode = is that single measure or score which occurs most frequently. When data are grouped into a frequency distribution, the crude mode is usually taken to be the midpoint of that interval which contains the largest frequency.

When to use the mode:

1. When a quick and approximate measure of central tendency is all that is wanted.
2. When the measure of central tendency should be the most typical value.

Finding mode from the ungrouped data:
Example:

1. A set of numbers 11, 12, 13, 16, 16, 16, 19, 20 has 16 as the mode.
2. A set of numbers 45, 49, 52, 55, 58 has no mode.
3. A set of numbers 4, 4, 6, 8, 8, 8, 9, 9, 9, 10 has modes of 8 and 9 and is called bimodal.

Mode of grouped data
To determine the mode of grouped data we have to find first the modal class. In a frequency distribution, the modal class can be easily determine by inspection as it is the class with the highest frequency.

Mo = Lmo + [ d1/d1 + d2 ] c


Where: Lmo = lower boundery of the modal class
d1 = difference between the frequency of the modal class and the frequency of the class next lower in value.
d2 = difference between the frequency of the modal class and the frequency of the class next higher in value.
C = class size

Find the mode of example 3.8. table 3.1

Weekly wage ( in peso) f Lower class boundary
P 870-899 4 869.5
900-929 6 899.5
930-959 10 929.5
960-989 13 959.5
990-1019 8 989.5
1020-1049 7 1019.5
1050-1079 2 1049.5


Mo = 959.5 + [ 3/3+5 ] 30 = P 970.75