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Resources tagged with Mean similar to About Pythagorean Golden Means:

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Broad Topics > Handling, Processing and Representing Data > Mean

Stage: 5

What is the relationship between the arithmetic, geometric and harmonic means of two numbers, the sides of a right angled triangle and the Golden Ratio?

Pythagorean Golden Means

Stage: 5 Challenge Level:

Show that the arithmetic mean, geometric mean and harmonic mean of a and b can be the lengths of the sides of a right-angles triangle if and only if a = bx^3, where x is the Golden Ratio.

The Mean Problem

Stage: 4 Challenge Level:

There are four unknown numbers. The mean of the first two numbers is 4, and the mean of the first three numbers is 9. The mean of all four numbers is 15. If one of the four numbers was 2, what were. . . .

PDF

Stage: 5 Challenge Level:

Given a probability density function find the mean, median and mode of the distribution.

Wipeout

Stage: 3 and 4 Challenge Level:

Can you do a little mathematical detective work to figure out which number has been wiped out?

Square Mean

Stage: 4 Challenge Level:

Is the mean of the squares of two numbers greater than, or less than, the square of their means?

Unequal Averages

Stage: 3 and 4 Challenge Level:

Play around with sets of five numbers and see what you can discover about different types of average...

AMGM

Stage: 4 Challenge Level:

Can you use the diagram to prove the AM-GM inequality?

Distribution Maker

Stage: 5 Challenge Level:

This tool allows you to create custom-specified random numbers, such as the total on three dice.

Stage: 5 Challenge Level:

Given the mean and standard deviation of a set of marks, what is the greatest number of candidates who could have scored 100%?

The Mean Game

Stage: 5

Edward Wallace based his A Level Statistics Project on The Mean Game. Each picks 2 numbers. The winner is the player who picks a number closest to the mean of all the numbers picked.

Cubic Rotations

Stage: 4 Challenge Level:

There are thirteen axes of rotational symmetry of a unit cube. Describe them all. What is the average length of the parts of the axes of symmetry which lie inside the cube?