Discrete and Binomial Probability Distributions

Discrete Probability Distributions

Calculating Mean, Variance, and Standard Deviation

Deviation

• Definition: The difference between a data value and the mean. It represents how far a data point deviates from the average.
  • Formula: $ext{Deviation} = ext{Data Value} - ext{Mean}$ (e.g., $1 - 2.94$, $2 - 2.94$, etc.)

Squared Deviation

• Purpose: To eliminate negative signs and weigh larger deviations more heavily.
• Property: All squared deviations are always positive.
• Example from Transcript: If the mean is $1.5$, values like $1$ (deviation $-0.5$) and $2$ (deviation $0.5$) will have the same squared deviation ($0.25$), indicating they are the