How_To_Be_Good_At_Math

STATISTICS • CARROLL DIAGRAMS 273

When we read across

the first row (blue) we

see all the even numbers.

The second row (red) lists

the odd numbers.

All the even numbers that

are not primes are in the

box in the top right corner

(orange). Odd numbers that

are not primes are in the box

beneath (pink).

If we read down the

first column (yellow), we

see all the prime numbers.

The second column (green)

shows all the non-primes.

The only even prime

number, 2, is shown in

the box in the top left corner

(yellow). The box beneath

(green) shows all the odd

prime numbers.

Subset of

odd numbers

from 1 to 20

that are not

Subset of even prime primes

numbers from 1 to 20

Subset of odd

prime numbers

from 1 to 20

Subset of

even numbers

from 1 to 20

that are not

primes

Subset of

even numbers

from 1 to 20

Subset of

odd numbers

from 1 to 20

Sorting numbers

Carroll diagrams can sort numbers and show

relationships between them. This diagram

sorts the set of the numbers from 1 to 20 into

even, odd, prime, and not prime numbers.

Subset of

numbers from

1 to 20 that

are not prime

numbers

Subset of prime numbers

from 1 to 20

4 6 8 10 12

14 16 18 20

2

3 5 7 11

13 17 19

1 9 15

4 6 8 10 12

14 16 18 20

2

3 5 7 11

13 17 19

1 9 15

2 4 6 8 10 12

14 16 18 20

3 5 7 11 1 9 15

13 17 19

2 4 6 8 10 12

14 16 18 20

3 5 7 11 1 9 15

13 17 19

Even

number

Odd

number

Prime number Not a prime

number

Even

number

Odd

number

Prime number Not a prime

number

Even

number

Odd

number

Prime number Not a prime

number

Even

number

Odd

number

Prime number Not a prime

number

272_273_Carroll_diagrams.indd 273 29/02/2016 16:39