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'Data Matching' printed from https://nrich.maths.org/
The sets of data below have all got muddled up. Can you sort them out?
The sixteen sets of data below 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.
This resource is part of the collection Statistics - Maths of Real Life