What is a geometric mean

The video tutorial covers the concepts of ratios and proportions, explaining how a ratio is set equal to another ratio to form a proportion. It introduces the terms 'extremes' and 'means' and explains cross multiplication. The tutorial then focuses on the geometric mean, showing how to solve for it by taking the square root of the product of the extremes. An example is provided to illustrate the calculation of the geometric mean.

What is formed when two ratios are set equal to each other?

• A decimal

• A percentage

• A proportion

• A fraction

In the context of proportions, what are the terms used to describe the outer and inner terms?

• Extremes and means

• Numerators and denominators

• Factors and multiples

• Dividends and divisors

What operation involves multiplying the extremes and the means in a proportion?

• Cross multiplication

• Division

• Subtraction

• Addition

How do you find the geometric mean between two numbers?

• Multiply the numbers and take the square root

• Divide the larger number by the smaller

• Subtract the smaller number from the larger

• Add the numbers and divide by two

In the equation a/x = x/b, what is the value of x known as?

• Geometric mean

• Harmonic mean

• Median

• Arithmetic mean