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Differential Calculus

1. Measurement Scales

   • nominal: are values assigned to variables represent a descriptive category
   • Ordinal: Each value on the ordinal scale has a unique meaning an ordered relationship
   • Interval: know different values and are bigger or smaller
   • Ratio: is identity, magnitude, it is equal to intervals and minimum value of zero

2. Sampling Methods

   • Probability
     • -simple (random), systematic, stratified, cluster
   • Non-probability
     • Quota and Convivence

3. Visual Displays of Data

   • Frecuency Distribution
     • Frecuency us how many times an event happens
     • Relative Frecuency is the total number of elements given
   • Displays
     • Histogram
     • Steam and Leaf is a number group
     • Bar Graphs is Frecuency Distribution of non-numbered observation
     • Circle Graph uses a circle to represent the total number of all categorive and divides
     • Line Graphs are to demonstrate how a quantity changes

4. Measures of Central Tendency

   • Mean
   • Mode
   • Median
     • The position of the Median is in the Middle
   • Weighted Mean is: w=(E(x*f)/f) f=frecuency

5. Measure of Dispersions

   • Rage= the greatest value in the set-the least value
   • Checyshev's Teorem is= 1-(1/k^2)
   • Coefficient of Variation is v=(s/x)*100 for a sample or v=(o/u)*100 for population
   • Standart Deviation S=√(E(x-x1))/n-1)

6. Measures of position

   • z-score= Z=(x-x1)/s
   • Percentil is from 0% to 100%
   • Deciles: are divided in 10 D1……D10
   • Quartiles: Q1, Q2, Q3 and Q4

7. Ashraf Gad A01400386