Measures of Central Tendency /By Javier Nuñez

Average or Centralization measure

Typical or representative value of a data set

The answer will have to do with the data collected.

If the data is fairly homogeneous (as is the weight analysis), the average is used.

For example, what would happen if there were two people with weights greater than 100 kilos? In this case, the average would increase substantially and the conclusions derived from this analysis could be erroneous.

When using the median, the existence of two extreme data does not affect the final result.

In the use of the median two situations can occur:

1. If the sample size is an odd number, the median would be the data that separates the series into equal parts. To obtain this data, the formula is as follows: (n+1) / 2.

2. If the sample size is an even number, then the median will be the average value between the two data that divide the series.

Central tendency measure. Value that occurs most often in a set of scores represented by Mo

The mode: classes and frequencies

The value that is repeated and the greatest number of times are sought, only that they are grouped into classes and the average of the class that contains the mode is used.

The mode for simple and frequency series:

Find the value that is repeated the greatest number of times in the series and without doing any calculations or formulas.

The geometric mean (Mg) is used in the calculation of the average rates of variation and in the elaboration of the index numbers.

The formula to use in the geometric mean is:
Mg = n√(x1) (x2) (x3),..., (xn)

The harmonic mean (/via), of a series of n, numbers *i, x2, x3,..., xn,. It is defined as the reciprocal value of the arithmetic mean of the numbers.

Also known as "average"

Measure of central tendency that an ordinary person has in mind and is represented by X

It is calculated by adding the values of the series where the average is obtained and the result is divided by the number of data that are the sum.

It is achieved in the following way:X=X1 + X2 + X3 + X4 + X5...+Xnn/ (number of elements in the series)

Also the arithmetic mean is calculated for frequency series and grouped data.

It is the mean value of a data sequence.

Divide a set of ordered values into two equal groups

La mitad de los números tendrá valores que son menores que la mediana y la otra mitad alcanzará valores mayores y se representa por letras Md

Sort the values from highest to lowest or vice versa

Count to know if there is an even or odd number of values

Impar: La mediana es el valor central
Par: Promedio de los valores centrales

The position of the median is formulated: (n+1)/2 Value (it is obtained by finding the position of the median.