Expected Value (Mean), Variance, and Standard Deviation (VCE SSCE Mathematical Methods): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Expected Value (Mean), Variance, and Standard Deviation
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What are population parameters calculated from?

Probability distribution

Which symbol denotes the expected value of XX?

μ\mu or E(X)E(X)

What is the formula for expected value of discrete random variable XX?

∑xx⋅p(x)\sum_{x} x \cdot p(x)

Is E(X2)E(X^2) equal to [E(X)]2[E(X)]^2?

No, they are generally not equal

What does E(aX+b)E(aX + b) equal where aa and bb are constants?

aE(X)+baE(X) + b

What does variance measure?

Spread around the mean

What is the computational formula for variance?

E(X2)−[E(X)]2E(X^2) - [E(X)]^2

How is standard deviation related to variance?

sd(X)=Var(X)sd(X) = \sqrt{Var(X)}

What is Var(aX+b)Var(aX + b) where aa and bb are constants?

a2Var(X)a^2Var(X)

What happens to variance when adding a constant bb to XX?

Variance stays the same

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Discrete Random Variables

Sampling Without Replacement

Sampling with Replacement: The Binomial Distribution

Conditional Probability and Independence

Expected Value (Mean), Variance, and Standard Deviation

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Discrete Random Variables

Sampling Without Replacement

Sampling with Replacement: The Binomial Distribution

Conditional Probability and Independence

Expected Value (Mean), Variance, and Standard Deviation

Explore VCE SSCE Mathematical Methods Flashcards by Topics

Discrete Random Variables

Sampling Without Replacement

Sampling with Replacement: The Binomial Distribution

Conditional Probability and Independence

Expected Value (Mean), Variance, and Standard Deviation

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Discrete Random Variables

Sampling Without Replacement

Sampling with Replacement: The Binomial Distribution

Conditional Probability and Independence

Expected Value (Mean), Variance, and Standard Deviation

Join 100,000+ SSCE students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.