Measures of Central Tendency and Dispersion

Measures of Central Tendency

1. ^[1]
   A value that represents the overall central tendency or characteristic of the data.
2. ^[2]
   The middle value when data is arranged in increasing order.
   • If the number of data points is odd, the median is the single middle value.
   • If the number of data points is even, the median is the average of the two middle values.
3. ^[3]
   • The value(s) that appear most frequently in the data.
   • Unlike the mean or median, which are always single values, the mode can be more than one value depending on the data.
     
     

Dispersion

1. ^[4]
   A measure of how spread out the data is, represented by a single value.
2. ^[5]
   • ​ ​ ​ ​ ​ ​ ​ ​ ​ (Value of the data point) (Mean)
     The ​ ​ ​ ​ ​ ​ ​ ​ ​ of a data point is the difference between the value and the mean of the data set.
   • The sum of ​ ​ ​ ​ ​ ​ ​ ​ ​ for a data set is always ^[6].
3. Variance and Standard Deviation
   • ^[7]: The average of the squared deviations from the mean.
     ​ ​ ​ ​ ​ ​ ​ ​ ​
   • ^[8]: The non-negative square root of the variance.
     ​ ​ ​ ​ ​ ​ ​ ​ ​
   • A larger variance or standard deviation indicates that the data points are more spread out from the ^[9], while a smaller variance or standard deviation suggests that the data points are more closely clustered around the ​ ​ ​ ​ ​ ​ ​ ​ ​.
     
     

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1. Representative Value ↩︎
2. Median ↩︎
3. Mode ↩︎
4. Dispersion ↩︎
5. Deviation ↩︎
6. 0 ↩︎
7. Variance ↩︎
8. Standard Deviation ↩︎
9. mean ↩︎