X X Bins Bin Frequency
31.1 18.3 6 8.804 1 Histogram
22.4 21.2 10 11.303 1
19.8 21.1 14 13.803 5 30
Frequency
26.8 11.4 18 16.302 8 20
18.4 24.6 22 18.802 23 10
21.5 17.9 26 21.301 26 0
8.80403…
11.3034…
13.8028…
16.3022…
18.8017…
18.9 15.4 30 23.801 20
9.4 23.0 34 26.3 9
10.4 21.6 28.799 2
22.9 12.1 31.299 3
22.4 … More 1
22.3 22.5 AWFUL!
21.4 17.0
20.7 22.3
14.9 24.8 Bins Frequency
14.0 18.8 4 0 Histogram
19.6 17.3 8 0 40
17.6 16.8 12 3
Frequency
30
14.9 25.0 16 11
20
18.2 21.2 20 37
10
13.9 33.8 24 33
0
27.8 25.6 28 11
28.1 19.0 32 3
22.1 21.5 36 1
27.9 22.2 More 0
26.9 20.8 Much better
22.9 13.3
15.7 16.7
15.9 14.9 Bins Frequency
19.1 20.2 Histogram
18.6 8.8 6<-10 1 40
17.7 16.4 10<-14 6
30
Frequency
21.2 14.7 14<-18 26
19.9 16.8 18<-22 37 20
23.4 26.1 22<-26 22 10
25.8 22.3 26<-30 3 0
12.7 15.2 30<-34 4 6<-10 10<-14
20.5 27.3
22.3 18.4
26.2 18.1 Almost there
18.4 18.7
27.7 19.1 Bins Frequency
25.2 16.8 0
25.4 17.2 6<-10 1 40
Frequency
18.6 16.6 10<-14 6 30
20
Frequency
30
17.8 19.6 14<-18 25 20
8.1 10.9 18<-22 38
10
18.6 22.2 22<-26 22
20.7 16.4 26<-30 3 0
22.4 25.2 30<-34 4
18.4 21.7 0
21.4 16.9
17.4 17.9 Final Example
17.0 19.6
22.1 30.4
17.0 16.4
15.9 19.3
22.5 17.0
15.2 30.2
15.7 20.3
17.9 23.4
15.6 23.0
22.4 19.3
28.6 21.4
20.4 26.7
16.8 19.1
14.2 15.8
17.6 19.4
26.3 18.9
17.5 21.3
20.8 20.8
19.3 18.9
24.3 15.7
22.3 20.0
18.5 16.5
19.0 19.2
18.2 20.8
19.3 24.4
21.3 21.1
21.5 20.3
18.6 31.2
17.0 24.2
29.8 21.6
14.0 19.9
16.5 18.6
16.8 14.7
17.6 16.8
19.9 21.2
20.8 16.2
24.0 25.9
25.1 22.6
20.3 13.5
16.2 22.6
19.2 22.3
17.7 22.0
24.5 22.0
19.7 12.9
19.1 20.8
15.7 23.6
28.3 23.0
X Bins X
Histogram 18.3 8 18.3
21.2 14 21.2
21.1 20 21.1
11.4 26 11.4
24.6 34 24.6
17.9 17.9
21.3011…
18.8017…
23.8005…
26.2999…
28.7993…
31.2987…
Frequency 15.4 15.4
More
23.0 23.0
21.6 21.6
Bin … …
Bin Frequency
Histogram 8 0
No gaps 14 7
added border 20 44
26 41
34 7
More 0
More 0
Bins
Histogram
Trimmed empty bins
-14 14<-18 18<-22 22<-26 26<-30 30<-34
Bins
Histogram
Bins
Histogram
50
40
Frequency
30
20
10
0
8 14 20 26 34 More
Bin
I needed another bad example: not enough bins.
Too many bins would be a problem too