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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the arithmetic mean and geometric mean of 4 and 9.
💡 Hint: Remember the formulas for AM and GM.
Question 2
Easy
What is the geometric mean of 25 and 100?
💡 Hint: Use the formula GM = √(x1 * x2).
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the formula for the Arithmetic Mean?
- (x1 + x2 + ... + xn) / n
- (x1 * x2 * ... * xn)^(1/n)
- None
💡 Hint: What does an average represent?
Question 2
Is it true that the AM is always greater than or equal to the GM?
- True
- False
💡 Hint: Reflect on the properties of squares.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Propose a set of four different positive real numbers and compute both their AM and GM. Confirm they meet AM ≥ GM.
💡 Hint: Start by calculating their sum for AM and product for GM.
Question 2
In the context of AM ≥ GM, illustrate the significance of the proof by applying it in a real-world scenario, such as finance or population growth.
💡 Hint: Consider investments yielding different interest rates.
Challenge and get performance evaluation