2.3. THE MODE AVERAGE
Mode:
It is the value of variate which occurs more frequently. (Ungroup)
It is the value which corresponding the highest frequency. (Group)
It is the value which is repeated maximum number of time in a series. (Ungroup)
Application:
1 It is used in experimental data.
2 It is used when we need quick result.
3 It tells us about the overall tendency of a group.
4 It is more effective in the raw data.
Ungroup data:
Mode:
Uni-mode: One value is repeated
bi-mode: two values are repeated
Multi-mode: more than two values are repeated
What Is the Mode?
The mode is the number that appears most frequently in a data set. A set of numbers may have one mode, more than one mode, or no mode at all. Other popular measures of central tendency include the mean, or the average (mean) of a set, and the median, the middle value in a set. .
In this, and some other distributions, the mean (average) value falls at the mid-point, which is also the peak frequency of observed values. For such a distribution, this value is also the mode—the most frequently occurring value in the data. Examples of the Mode
For example, in the following list of numbers, 16 is the mode since it appears more times in the set than any other number: 1. 3, 3, 6, 9, 16, 16, 16, 27, 27, 37, 48
A set of numbers can have more than one mode (this is known as bimodal if there are two modes) if there are multiple numbers that occur with equal frequency, and more times than the others in the set. 1. 3, 3, 3, 9, 16, 16, 16, 27, 37, 48
In the above example, both the number 3 and the number 16 are modes as they each occur three times and no other number occurs more often.
If no number in a set of numbers occurs more than once, that set has no mode: 1. 3, 6, 9, 16, 27, 37, 48 A set of numbers with two modes is bimodal, , and a set of numbers with four or more nodes is multi modal.
Advantages and Disadvantages of the Mode
Advantages: 2. The mode is easy to understand and calculate.
3. The mode is not affected by extreme values.
4. The mode is easy to identify in a data set and in a discrete frequency distribution.
5. The mode is useful for qualitative data.
6. The mode can be computed in an open-ended frequency table.
7. The mode can be located graphically.
Disadvantages:
8. The mode is not defined when there are no repeats in a data set.
9. The mode is not based on all values.
10. The mode is unstable when the data consist of a small number of values.
11. Sometimes data have one mode, more than one mode, or no mode at all .