Descriptive statistics

Descriptive statistics : is one of the main branch of the data analaystics . it is answering “what happens in the data”?.

  1. Measure of centeral tendency
  2. Measure of variation or dispersion
  3. Measure of shapes
  4. Measure of positions
  5. Measure of frequency
  1. Data cleaning
  2. Data transformation
  3. Data measurement,
  4. Data validation
  5. Data Visualization.

Measure of central tendency

Measure of central tendency acting as the back bone of the descriptive statistics.

7 main element are the foundation of the central tendency including:

  • Mean,
  • Mode,
  • Medium,
  • Mid-rage,
  • Maximum,
  • Minimum, and
  • Mad

Mean

In statistics, there are more than 7 types of mean including:

  1. Arithmetic mean
  2. Geometric mean,
  3. Harmonic mean,
  4. Trimmed mean, and
  5. Weighted mean,

\[x^2=x^n-\alpha+\eta-\beta\]

x<-c(11,12,11,14,11,13,14,17,16,11,11)
summary(x)
##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max. 
##   11.00   11.00   12.00   12.82   14.00   17.00
boxplot(x)

plot(density(x))

hist(x)

\[\begin{equation} xbar=\frac{x}{n} \end{equation}\]