measures of central tendency
¿When and how should we use the average of the measure?
The answer will have to do with the data collected
If the data are fairly homogeneous ( as is the weight analysis), the average is used
For example ¿What if there were two people with weights over 100 kilos? In this case the average would increase substantially and the consequences 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
If the sample size is an odd number, the median would be the one that separates in equal parts to the series, to obtain this data the formula is the following: (n+1)/2
If the sample size is an even number, then the median will be the average value between the two data dividing the series
Mode
Mesure of central tendency: Value most frequently repeated in a set of scores represented by MO
Mode: classes and frequencies
It looks for the value that is repeated and the greatest number of times, only that they are grouped in classes and it is used this means that continues the mode
Mode for simple and frequency series
Find the value that most times are repeated in the series and without making any calculation or formula
The geometric median
The geometric mean (Mg) is used in the calculation of averages of variation rates and in the elavoration of the numerous indices
Hermonic mean
Hermonic mean of a series (/via) numers *¡, X2,X3....,Xn,.Defined as the recipient value of the arithmetic mean of the numbers
It is a single value indicating the center of a series of numbers from which it is calculated
Average
Measure or centralisation
Typical or representative value of a data set
Other measures
Deciies
Cuartiles
Percentiles
measurement
Is the mean value of a data stream
Divides a set of ordered values into two equal groups
Half of the numbers will have values that are lower than the median and the other half will reach higher values and is represented by the letters MD
Classifies values from highest to lowest or vice versa
The position of the median is formulated: (n+1)/2 value is obtained by finding the position of the median
Count to know if there is an even or odd number of values
Odd: median is central value
torque: average of core values
Arithmetic measure or measure
Also known as average
Central trend measure that an ordinary person has in mind and is represented with an X
It is calculated by adding the values of the series where the average is obtained and dividing the result by the number of data that are the sum
It is achieved as follows: X= X1+X2+X3+X4+X5...+Xnn/ (number of series elements)
Also the arithmetic measure is calculated for frequency series and grouped data