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MODE

The value that appears most frequently in the data is referred to as the mode.When data are measured on a nominal scale, the mode is the preferred measurement.Only when describing a bimodal distribution is mode used as a summary statistic, The major mode is the higher peak, and the minor mode is the lower peak.Since it is not algebraically defined and the frequency of observation fluctuates more when the sample size is small, it is not used in statistical analysis.POSITION OF MEASURES OF CENTRAL TENDENCY

The distribution's form affects where the mean, median, and mode fall in the hierarchy of central tendency measures.The distribution's form affects where the mean, median, and mode fall in the hierarchy of central tendency measures.This occurs when there are two or more values in the data set with equal frequency that occur more frequently than any other value.Since the mode is the most common score, it is located in the hump of the skewed distribution.In a skewed distribution, the median is located halfway between the mean and the mode..It is the only central tendency measure that can be applied to numerical data.2.2.3.4.5.

MODE

The value that appears most frequently in the data is referred to as the mode. Certain data sets lack a mode because every value only appears once. The value that appears in the data the most frequently is referred to as the otherMode. Certain data sets lack a mode because every value only appears once. On the other hand, some data sets can have more than one mode. This occurs when there are two or more values in the data set with equal frequency that occur more frequently than any other value. Only when describing a bimodal distribution is mode used as a summary statistic, The major mode is the higher peak, and the minor mode is the lower peak.
The major mode is the higher peak, and the minor mode is the lower peak.
Advantages

1. It is the only central tendency measure that can be applied to numerical data.


2. It is simple to calculate.

Disadvantages

1. Since it is not algebraically defined and the frequency of observation fluctuates more when the sample size is small, it is not used in statistical analysis.

POSITION OF MEASURES OF CENTRAL TENDENCY

The distribution's form affects where the mean, median, and mode fall in the hierarchy of central tendency measures. In a typical study, all three measures are the same.

The distribution's form affects where the mean, median, and mode fall in the hierarchy of central tendency measures. In a typical study, all three measures are the same.

distribution The mean is moved to the tail in a skewed distribution because the mean is constantly drawn toward the extreme observations. Since the mode is the most common score, it is located in the hump of the skewed distribution. In a skewed distribution, the median is located halfway between the mean and the mode..

SELECTING THE APPROPRIATE MEASURE
The most popular and universally regarded measure of central tendency is the mean. The other metrics of central tendency, however, are favoured in particular circumstances.

The median is preferred to mean when:

1. 
   

   The distribution of scores contains few extreme values.

   
   


2. 
   

   The values of some scores are unknown.

   
   


3. 
   

   A distribution is open-ended.

   
   


4. 
   

   An ordinal scale is used to measure data.

   
   


5. 
   

   When data are measured on a nominal scale, the mode is the preferred measurement. When data are measured on a logarithmic scale, geometric mean is the most favoured central tendency measure..