MSF

Statistics

Average - Three types

1. Mean : Sum of all events / number of events
2. Median : Middle value
3. Mode : Most occurred

Concepts:

1. Range : (highest value - lowest value)
2. Interquartile Range : mid of right part - mid of left part
3. Mid range : (Lowest + Highest)/2
4. Variance (sigma square)
5. Standard deviation (squareroot(sigma))
6. Sample Standard Deviation : (n - 1)

Other:

1. Mean Absolute Deviation : Variance without the square

Z-Score

How may (sigma) away from (mean)
It is useful in Normal Distribution

Normal Distribution

Empirical Rule : 68 - 95 - 99.7

Linear Regression and Correlation

Correlation co-efficient(r)

-1 ⇐ r ⇐ 1

Regression

1. Residual : Actual - Predicted
2. Least square Regression
3. m(slope) = r * (sy/sx)

Random Variable

1. Discrete Variable : Precise
2. Continuous Variable : Infinite
3. Expected Value(Mean)
4. Variance : (difference b/w mean whole square times P{X})
5. Probability Density Function : Area under graph
6. Binomial Random variable :
   1. Outcome is either successful of failure
   2. Each trail is independent
   3. Fixed number of trails
   4. probability (p) on each trail remains constant