### History of Morse

This short article gives an outline of the origins of Morse code and its inventor and how the frequency of letters is reflected in the code they were given.

### Odd One Out

In this short problem, can you deduce the likely location of the odd ones out in six sets of random numbers?

### Very Old Man

Is the age of this very old man statistically believable?

# Data Matching

##### Stage: 5 Challenge Level:
Below are sixteen sets of data which were generated by four different probability distributions. Four sets were taken from each of the four distributions.

By searching for patterns in the data, can you put the sets into groups of four which are likely to have come from the same distributions?

Set 1A
8 4 16 12 6
2 4 18 14 8
16 12 18 2 16
0 12 8 12 16
0 0 12 16 4
0 8 8 10 16
0 12 14 8 10
0 2 14 18 4
8 0 14 18 12
16 12 8 14 0
Set 1B
12 6 12 6 5
7 5 6 13 12
16 12 14 8 13
13 13 6 11 7
6 12 12 5 5
6 14 0 12 14
12 13 12 5 13
6 14 5 0 6
14 6 13 1 14
4 3 12 6 13
Set 1C
12 17 16 2 12
10 10 10 18 19
15 11 10 15 15
18 4 10 16 14
8 11 12 11 10
18 11 13 10 19
12 14 14 17 16
17 17 13 10 7
5 14 18 10 4
4 15 15 9 14
Set 1D
10 11 8 10 5
12 11 16 5 15
12 6 12 15 10
9 7 7 8 7
6 6 9 17 14
8 13 13 7 8
10 13 6 15 11
6 9 14 9 8
7 7 9 12 3
11 11 10 12 7
Set 1E
11 7 6 7 11
9 4 11 9 12
9 7 13 11 5
10 17 10 6 7
10 15 8 9 12
7 7 12 15 5
6 11 10 12 11
6 12 12 6 12
6 5 6 5 9
7 11 7 15 11
Set 1F
19 12 13 2 19
18 16 7 15 9
18 11 12 15 10
17 3 18 14 13
11 10 9 17 17
12 18 12 13 15
17 12 16 17 10
11 16 13 11 17
11 17 14 16 7
10 10 18 17 12
Set 1G
16 2 8 4 8
18 16 0 8 14
14 4 8 12 2
18 10 16 8 12
8 8 14 4 4
8 14 18 4 12
8 8 8 0 16
4 0 4 4 4
8 14 18 6 16
14 0 8 0 12
Set 1H
14 14 18 8 13
16 13 19 8 18
17 13 5 14 15
8 13 17 4 12
19 15 11 12 17
4 17 13 18 19
8 12 18 8 8
7 12 10 18 18
17 8 7 15 18
16 14 13 11 17
Set 1I
18 13 6 13 5
14 14 12 12 13
13 12 13 2 6
13 13 12 3 19
14 12 16 13 9
0 7 2 0 5
13 13 12 5 14
16 9 12 6 14
12 12 5 12 7
7 7 7 7 5
Set 1J
8 12 14 5 5
16 15 14 5 15
12 5 7 10 19
7 13 13 4 7
5 13 6 5 13
13 5 18 15 14
6 13 3 6 16
7 5 14 6 1
7 12 14 14 5
13 10 17 5 2
Set 1K
8 8 6 0 6
8 6 8 0 4
16 6 2 12 4
6 18 10 12 0
16 0 4 4 12
14 16 12 14 16
14 16 8 16 10
16 2 2 6 8
14 4 4 2 16
16 2 14 12 4
Set 1L
10 6 14 7 8
11 9 9 14 11
16 6 7 12 10
5 11 6 8 9
12 11 11 12 7
3 7 15 16 11
9 10 8 14 13
8 9 15 7 10
10 13 7 10 9
7 13 13 8 3
Set 1M
0 2 16 6 8
8 10 10 12 2
8 10 0 4 14
8 16 18 12 2
12 18 4 14 8
4 0 16 12 12
18 12 18 10 12
6 10 4 16 18
10 0 16 8 18
12 16 10 8 0
Set 1N
12 12 11 13 10
11 10 11 5 11
5 10 9 13 15
11 11 7 12 8
11 13 10 12 12
10 10 12 4 10
10 6 14 8 11
15 9 9 5 5
12 10 10 7 10
9 9 7 16 10
Set 1O
0 11 12 5 13
19 13 7 5 5
6 6 12 17 9
14 5 5 7 5
4 16 14 13 19
6 13 7 0 7
7 18 18 7 6
6 14 12 12 6
13 13 17 13 6
19 14 10 13 9
Set 1P
17 7 7 17 18
11 16 12 13 13
11 16 5 18 9
12 15 12 16 19
9 19 18 18 19
19 17 14 14 5
11 12 10 13 9
4 17 15 17 17
8 16 18 17 5
19 19 16 13 17

You may wish to use a computer to analyse the data. We have created a GeoGebra Worksheet which contains the data sets, so you can use the statistical tools in the spreadsheet function to examine each of the sixteen sets.

Alternatively, you can download this csv file: Data Matching, which can be opened by most spreadsheet software.