Workshop 4: Applying the Concepts and Rules

Descriptive Statistics

Central Tendency:

Sample Mean

Median Half of x<=median and half of x>=median

Mode is the one in x that has the maximum frequency.

Measures of Dispersion:

Range = Max – Min

Standard Deviation = S

Where S=

Ex1: For the following data set, compute mean, median, range and sample standard deviation. 13,1,10,3,3

Mean=(13+1+10+3+3)/5=6

Median=3

Range=13-1=12

Standard Deviation=5.20

Basic Probabilities

Addition Law: P(A or B)=P(A)+P(B)-P(A and B)

Note: if mutually exclusive, P(A and B)=0; if A and B are independent, P(A and B)=P(A)P(B)

Conditional Probability: P(A|B)=

Multiplication Law: P(A and B) = P(A B) = P(A)P(B|A) = zP(A|B)P(B)

Bayes Rule

Bayes Rule P(A | B) = P(A) P(B | A)/P(B)

Total Probability Rule: P(A)=and )=P(A|B)P(B)

Ex2 Chapter 3 Question 42 Page 146

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