Applied Statistics
Introduction to statistics
Science that studies data sets and their interpretation in mathematical terms
It has existed since the beginning of civilization
Roman Empire first government that collected a lot of data
It is an indispensable tool for decision making.
Statistics is related to the process study
t can be of a qualitative or quantitative nature and, in the latter case, discrete or continuous.
Statistics Divisions
Descriptive statistics
Inductive Statistics or Statistical Inference
Data Collection and Presentation
Basic concepts
Population
Sample
Individual
Variable
Census
Sampling
Boards
Frequency Distribution
Relative frequency
Percentage
Graphical Data Presentation
Histograms
Polygons
Bar charts
Pie chart
Measures of central tendency
Definition of Central Tendency Measures
They indicate the center of a data set
Average
It is calculated by adding all the data and then dividing the total by the number of data involved.
Median
It is the average value of an ordered sequence of data
Mode
In a series of data, fashion is the most repeated value
Deviation Measures
Rank
Difference between the highest and the lowest observation in a series of data
Measure the total propagation in the data series.
Variance and Standard Deviation
They take into account how the observations are distributed.
The sample variance is the average of the square differences between each of the observations in a series of data and the mean
The standard deviation (S) is simply the square root of the variance.
The Coefficient of Variation
It only serves to compare the dispersions of variables corresponding to ratio scales.