During the 1854 cholera epidemic in London, John Snow collected data on the location (street addresses) of persons who died of cholera, as well as the location of water pumps in the city. Snow believed (correctly) that cholera was transmitted through contaminated water. Snow's map of London, showing the locations of deaths and water pumps is given below:
The table below gives the coordinates of 578 person who died of cholera. The data are a digitized version of Snow's map, with coordinate relative to a set of axes through the center of the map, produced by the National Center for Geographic Information and Analysis. The units are meters. The data have been modified by rounding to the nearest 0.1 meter.
Case | x | y |
---|---|---|
1 | 13.6 | 11.1 |
2 | 9.9 | 12.6 |
3 | 14.7 | 10.2 |
4 | 15.2 | 10 |
5 | 13.2 | 13 |
6 | 13.8 | 8.9 |
7 | 13.1 | 10.6 |
8 | 11 | 11.9 |
9 | 15.2 | 11.7 |
10 | 11.1 | 9.6 |
11 | 11.7 | 13.6 |
12 | 12.3 | 11.5 |
13 | 10.6 | 11.9 |
14 | 14.6 | 10.6 |
15 | 16.6 | 14.3 |
16 | 9.5 | 10.7 |
17 | 13.3 | 10.7 |
18 | 15 | 10.2 |
19 | 15.1 | 10 |
20 | 10.9 | 9.8 |
21 | 12.5 | 12 |
22 | 11.8 | 11.8 |
23 | 12.2 | 10.4 |
24 | 13.9 | 12.8 |
25 | 12.3 | 11.9 |
26 | 11 | 11.9 |
27 | 11 | 9.8 |
28 | 13.5 | 13.3 |
29 | 10.8 | 11.7 |
30 | 12.2 | 13.6 |
31 | 13.9 | 14 |
32 | 12.5 | 11.6 |
33 | 15.7 | 12.7 |
34 | 12.9 | 9.9 |
35 | 13 | 10.2 |
36 | 13.7 | 11.4 |
37 | 13.1 | 11.1 |
38 | 13.4 | 11.1 |
39 | 14.8 | 9.4 |
40 | 13.2 | 13.2 |
41 | 9.8 | 12.5 |
42 | 12.5 | 12 |
43 | 13.4 | 10.2 |
44 | 14.4 | 11.6 |
45 | 16 | 14.2 |
46 | 10.9 | 12 |
47 | 12.5 | 13.4 |
48 | 15.8 | 12.4 |
49 | 16.5 | 14.3 |
50 | 11.2 | 8.6 |
51 | 15.8 | 12.2 |
52 | 11 | 9.8 |
53 | 11.7 | 13.6 |
54 | 11.5 | 12.3 |
55 | 11.8 | 15.1 |
56 | 13 | 13.9 |
57 | 14.1 | 13.1 |
58 | 14.8 | 10 |
59 | 12.6 | 11 |
60 | 14.6 | 12.9 |
61 | 12.5 | 11.2 |
62 | 14.5 | 8.7 |
63 | 9.2 | 10.8 |
64 | 17.9 | 7.2 |
65 | 11.2 | 14.7 |
66 | 9.5 | 10.7 |
67 | 10.8 | 9.9 |
68 | 16.1 | 14.1 |
69 | 10.4 | 10.6 |
70 | 13.7 | 9 |
71 | 15.8 | 13.9 |
72 | 12.2 | 11.8 |
73 | 11.5 | 10.7 |
74 | 15.4 | 11.2 |
75 | 15.9 | 12.2 |
76 | 10.2 | 11.9 |
77 | 14 | 12.8 |
78 | 16.5 | 11.4 |
79 | 17.5 | 11.2 |
80 | 13.8 | 8.9 |
81 | 14.1 | 10.6 |
82 | 14.7 | 11.5 |
83 | 12.6 | 13.4 |
84 | 11.7 | 10.4 |
85 | 14.4 | 12.6 |
86 | 15.2 | 17 |
87 | 15.8 | 13.9 |
88 | 13.9 | 12.7 |
89 | 15.2 | 11.6 |
90 | 13.2 | 12.9 |
91 | 12.7 | 11.3 |
92 | 15.1 | 13.2 |
93 | 12.8 | 11.6 |
94 | 13.6 | 13.2 |
95 | 14 | 13.1 |
96 | 15.4 | 13.3 |
97 | 14.8 | 14.9 |
98 | 10.3 | 11.4 |
99 | 10.5 | 11.6 |
100 | 9.9 | 12.3 |
101 | 14.2 | 9.2 |
102 | 13.6 | 12.5 |
103 | 15 | 9.8 |
104 | 15.7 | 12.4 |
105 | 9.2 | 12 |
106 | 16.8 | 11.4 |
107 | 13.3 | 10.3 |
108 | 10.6 | 11.6 |
109 | 8.3 | 7.2 |
110 | 13.4 | 13 |
111 | 14.5 | 8.7 |
112 | 16.8 | 11.4 |
113 | 14.7 | 11.9 |
114 | 10.3 | 11.4 |
115 | 13.2 | 11.2 |
116 | 9.1 | 13.2 |
117 | 15.2 | 10 |
118 | 8.4 | 7.4 |
119 | 15.3 | 9.8 |
120 | 13.3 | 12.4 |
121 | 13.2 | 9.7 |
122 | 12.6 | 11.5 |
123 | 13.9 | 11 |
124 | 13.5 | 12.5 |
125 | 15.2 | 17 |
126 | 11.6 | 11.1 |
127 | 9.4 | 10.8 |
128 | 11.4 | 9.6 |
129 | 11.2 | 14.8 |
130 | 11.9 | 10.2 |
131 | 15 | 10.2 |
132 | 13.6 | 11.5 |
133 | 14.1 | 13.6 |
134 | 10.5 | 11.2 |
135 | 10.3 | 9.5 |
136 | 13.8 | 12.7 |
137 | 13.4 | 12.4 |
138 | 12.6 | 11 |
139 | 15.7 | 13.9 |
140 | 13.8 | 8.9 |
141 | 13.2 | 12.3 |
142 | 15.1 | 10.1 |
143 | 13.2 | 10.5 |
144 | 14.6 | 11.4 |
145 | 14.4 | 10.3 |
146 | 15 | 14.1 |
147 | 13.1 | 10.6 |
148 | 13.4 | 8.8 |
149 | 11.8 | 9.5 |
150 | 16 | 14.4 |
151 | 10.6 | 10.9 |
152 | 14.6 | 10.6 |
153 | 9.3 | 12.2 |
154 | 14.5 | 11.5 |
155 | 10.5 | 12.3 |
156 | 14 | 12.8 |
157 | 10.6 | 11.6 |
158 | 10.6 | 11.7 |
159 | 15.7 | 6.1 |
160 | 11.8 | 11.2 |
161 | 11.8 | 10.3 |
162 | 11.6 | 11.1 |
163 | 15.8 | 14 |
164 | 10.7 | 11.7 |
165 | 13.4 | 13.3 |
166 | 11.2 | 11.5 |
167 | 15.5 | 12.8 |
168 | 14 | 10.7 |
169 | 13.4 | 12.5 |
170 | 14.6 | 16.2 |
171 | 15.3 | 13.4 |
172 | 14.5 | 8.8 |
173 | 11.4 | 9.9 |
174 | 12.5 | 11.2 |
175 | 13.8 | 11.2 |
176 | 10.6 | 11 |
177 | 10.5 | 11 |
178 | 14.8 | 10.8 |
179 | 14.2 | 12 |
180 | 13.3 | 12 |
181 | 10.4 | 11.8 |
182 | 12.5 | 10.6 |
183 | 15 | 12 |
184 | 10.6 | 9.9 |
185 | 13.1 | 11.1 |
186 | 10.1 | 11.5 |
187 | 11.2 | 11.4 |
188 | 12.9 | 11.7 |
189 | 12.2 | 10 |
190 | 12.4 | 11.3 |
191 | 11.9 | 10.2 |
192 | 11.5 | 11.4 |
193 | 11.7 | 13.6 |
194 | 12.5 | 11.5 |
195 | 14.8 | 12.3 |
196 | 14 | 12.7 |
197 | 12.5 | 13.4 |
198 | 9.2 | 12.3 |
199 | 10.4 | 11.3 |
200 | 12.7 | 9.2 |
201 | 9.1 | 6.3 |
202 | 8.3 | 7.1 |
203 | 15.3 | 13.6 |
204 | 11.2 | 11.4 |
205 | 11.8 | 11.2 |
206 | 12.7 | 11.3 |
207 | 11.8 | 11.2 |
208 | 12.2 | 13.6 |
209 | 12.7 | 11.3 |
210 | 13.6 | 13.4 |
211 | 8.8 | 15.1 |
212 | 12.2 | 11.3 |
213 | 16.2 | 14.3 |
214 | 12.8 | 11.6 |
215 | 13.6 | 13.4 |
216 | 12.7 | 10.2 |
217 | 15 | 11.9 |
218 | 13.9 | 12.7 |
219 | 13.6 | 9.1 |
220 | 12.5 | 13 |
221 | 9.9 | 12.4 |
222 | 17.6 | 7.3 |
223 | 11.1 | 11.1 |
224 | 16.7 | 14.4 |
225 | 9.7 | 11 |
226 | 13.4 | 13 |
227 | 13.1 | 10.6 |
228 | 13.7 | 10.1 |
229 | 11.7 | 11.1 |
230 | 13.1 | 11.8 |
231 | 13.1 | 11.8 |
232 | 12.3 | 11.9 |
233 | 14.9 | 12.8 |
234 | 11.5 | 12.6 |
235 | 12.9 | 11.6 |
236 | 11 | 11.2 |
237 | 15.8 | 14 |
238 | 12.9 | 10.3 |
239 | 12.3 | 11.5 |
240 | 9.8 | 11.8 |
241 | 12.7 | 11.3 |
242 | 12.7 | 12.1 |
243 | 16 | 9.2 |
244 | 11 | 11.9 |
245 | 14.1 | 9.3 |
246 | 11 | 11.7 |
247 | 14.5 | 8.7 |
248 | 15.6 | 11.3 |
249 | 9.6 | 11.8 |
250 | 15.5 | 11.1 |
251 | 14.4 | 12.2 |
252 | 11.4 | 9.9 |
253 | 13.7 | 11.3 |
254 | 11.4 | 11 |
255 | 16 | 9.1 |
256 | 9.9 | 11.9 |
257 | 10.8 | 9.7 |
258 | 12.6 | 11.6 |
259 | 9.3 | 10.7 |
260 | 13.8 | 13.8 |
261 | 13.8 | 13.8 |
262 | 14.7 | 10 |
263 | 15.3 | 10 |
264 | 14.1 | 12.4 |
265 | 13.8 | 10.1 |
266 | 11 | 11.3 |
267 | 12.4 | 10.5 |
268 | 14.8 | 10 |
269 | 15 | 13.6 |
270 | 15.4 | 13.5 |
271 | 12.8 | 14.3 |
272 | 11.3 | 9.8 |
273 | 10.5 | 11.8 |
274 | 11 | 11.2 |
275 | 13.4 | 9.5 |
276 | 10.3 | 11.4 |
277 | 9.6 | 11.8 |
278 | 14.5 | 12.3 |
279 | 11.5 | 11.4 |
280 | 12.7 | 10.7 |
281 | 15 | 12 |
282 | 12.3 | 14.8 |
283 | 12.9 | 10.8 |
284 | 15.3 | 9.1 |
285 | 15.8 | 9.6 |
286 | 13.1 | 13.9 |
287 | 12.9 | 11.7 |
288 | 15.3 | 12.1 |
289 | 13 | 11.8 |
290 | 12.5 | 11.2 |
291 | 15.8 | 13 |
292 | 14 | 13.4 |
293 | 13 | 14.4 |
294 | 13.9 | 14.6 |
295 | 10.9 | 9.7 |
296 | 16 | 14 |
297 | 15.1 | 10.1 |
298 | 13.5 | 12.6 |
299 | 11.6 | 12.3 |
300 | 10.7 | 12 |
301 | 16.8 | 11.6 |
302 | 13.9 | 14.6 |
303 | 13.7 | 11.1 |
304 | 13.3 | 9.6 |
305 | 15.7 | 12.4 |
306 | 15.5 | 11.2 |
307 | 11 | 11.2 |
308 | 15.5 | 11.1 |
309 | 11.7 | 9.6 |
310 | 12.4 | 11.4 |
311 | 11.1 | 11.5 |
312 | 9.6 | 10.9 |
313 | 8.3 | 7.2 |
314 | 14 | 13.3 |
315 | 13.2 | 13 |
316 | 15.3 | 9.3 |
317 | 15.5 | 11.2 |
318 | 15.4 | 7.3 |
319 | 16.1 | 14.3 |
320 | 12.4 | 13.7 |
321 | 12.2 | 11.8 |
322 | 15.1 | 11.7 |
323 | 14 | 12.9 |
324 | 9.6 | 10.9 |
325 | 16.3 | 14.3 |
326 | 12.6 | 10.6 |
327 | 10.5 | 12.9 |
328 | 14 | 12.8 |
329 | 15.5 | 11.3 |
330 | 11 | 11.2 |
331 | 13.3 | 12.9 |
332 | 13.9 | 13.6 |
333 | 13.3 | 9.6 |
334 | 12.7 | 10.7 |
335 | 15.4 | 11.2 |
336 | 15.7 | 13.9 |
337 | 13.8 | 11.1 |
338 | 11.7 | 10.5 |
339 | 16.1 | 14.3 |
340 | 12.6 | 11 |
341 | 15.4 | 11.3 |
342 | 16.3 | 14.4 |
343 | 12.5 | 12.1 |
344 | 15.7 | 12.9 |
345 | 11.5 | 12.6 |
346 | 14.2 | 12.1 |
347 | 16.3 | 10.1 |
348 | 13.6 | 11.2 |
349 | 12.6 | 10.4 |
350 | 11.7 | 11.2 |
351 | 8.8 | 10.9 |
352 | 10.9 | 14.7 |
353 | 11.6 | 11.1 |
354 | 13 | 11.2 |
355 | 13.7 | 11.3 |
356 | 11.1 | 11.8 |
357 | 14.6 | 12.3 |
358 | 10.4 | 11.6 |
359 | 13.1 | 12.3 |
360 | 11.9 | 14.2 |
361 | 13.3 | 10.3 |
362 | 9.9 | 12.2 |
363 | 12.7 | 12.8 |
364 | 9.3 | 10.6 |
365 | 11.6 | 9.5 |
366 | 13.1 | 12.3 |
367 | 11.4 | 11 |
368 | 13.6 | 11.5 |
369 | 11.8 | 13.6 |
370 | 16.3 | 14.4 |
371 | 8.7 | 12.1 |
372 | 15.7 | 12.2 |
373 | 12.2 | 11.4 |
374 | 14.8 | 14.1 |
375 | 13.5 | 8.9 |
376 | 15.7 | 12.9 |
377 | 11.9 | 14.2 |
378 | 12.5 | 12.8 |
379 | 14.4 | 13.1 |
380 | 12.2 | 14.1 |
381 | 15.3 | 11.4 |
382 | 11.5 | 10.8 |
383 | 9 | 11.2 |
384 | 10.8 | 8.8 |
385 | 14.9 | 10.1 |
386 | 13.2 | 11.9 |
387 | 13.4 | 8.8 |
388 | 14.4 | 12 |
389 | 12.2 | 11.4 |
390 | 12 | 14.6 |
391 | 13.6 | 11.6 |
392 | 8.8 | 12 |
393 | 13.4 | 11 |
394 | 12.6 | 12.8 |
395 | 15.6 | 14.2 |
396 | 12.5 | 12 |
397 | 12.4 | 11.3 |
398 | 12.4 | 11.4 |
399 | 13.4 | 12.6 |
400 | 12 | 11.4 |
401 | 9.9 | 11.8 |
402 | 12.1 | 13.6 |
403 | 14.4 | 13.1 |
404 | 15.7 | 12.9 |
405 | 13.8 | 11.1 |
406 | 11.4 | 10.9 |
407 | 13.8 | 14.2 |
408 | 15.6 | 11.3 |
409 | 15 | 10.2 |
410 | 14.1 | 13.1 |
411 | 13.2 | 9.8 |
412 | 13.3 | 13 |
413 | 10.9 | 12 |
414 | 12.1 | 10 |
415 | 14 | 13.9 |
416 | 11.3 | 10.8 |
417 | 13.4 | 13 |
418 | 13.5 | 12.5 |
419 | 14.8 | 12 |
420 | 13 | 11 |
421 | 12.4 | 11.3 |
422 | 12.3 | 14.8 |
423 | 13.1 | 12.4 |
424 | 14.8 | 13.2 |
425 | 9.8 | 12.5 |
426 | 14.1 | 10.6 |
427 | 12 | 14.6 |
428 | 16.1 | 14.2 |
429 | 12.7 | 11.3 |
430 | 14.7 | 10.1 |
431 | 8.8 | 12.1 |
432 | 10.5 | 12.3 |
433 | 12.2 | 14.2 |
434 | 11.7 | 13.6 |
435 | 8.3 | 11.6 |
436 | 12.4 | 13.2 |
437 | 16.7 | 8.4 |
438 | 15.7 | 7.2 |
439 | 16.1 | 14.3 |
440 | 14.3 | 10.5 |
441 | 9.7 | 12.4 |
442 | 13.3 | 12.9 |
443 | 16.1 | 10 |
444 | 14.4 | 10.4 |
445 | 13.4 | 10.9 |
446 | 14.5 | 9 |
447 | 14.6 | 11.4 |
448 | 13.7 | 13.9 |
449 | 16.2 | 14.2 |
450 | 16.3 | 14.4 |
451 | 12.8 | 14.3 |
452 | 13.4 | 11.9 |
453 | 11.2 | 8.6 |
454 | 11.6 | 12.2 |
455 | 14.7 | 11.9 |
456 | 9.4 | 10.8 |
457 | 9.5 | 10.7 |
458 | 15.7 | 11.6 |
459 | 14.3 | 12.5 |
460 | 14.2 | 13.4 |
461 | 11.5 | 10.4 |
462 | 15 | 10.4 |
463 | 13.1 | 12.4 |
464 | 11 | 12 |
465 | 11.9 | 14.2 |
466 | 13.5 | 8.9 |
467 | 14.1 | 13.1 |
468 | 10.9 | 16.5 |
469 | 14.2 | 9.4 |
470 | 10.4 | 11.2 |
471 | 15.6 | 11.3 |
472 | 11.3 | 11.5 |
473 | 13 | 9.6 |
474 | 13.6 | 13.1 |
475 | 11.1 | 11.6 |
476 | 14.6 | 11.4 |
477 | 15.2 | 8.6 |
478 | 13.4 | 10.4 |
479 | 16.1 | 10.9 |
480 | 14.3 | 10.4 |
481 | 16.4 | 14.4 |
482 | 12.6 | 15 |
483 | 13.3 | 10.8 |
484 | 11 | 12.1 |
485 | 10.1 | 10.6 |
486 | 15.6 | 12.6 |
487 | 14.2 | 13.4 |
488 | 13.4 | 12.5 |
489 | 10.8 | 11.6 |
490 | 13.2 | 10.6 |
491 | 13.8 | 12.6 |
492 | 11.4 | 11 |
493 | 12.9 | 9.8 |
494 | 13.6 | 11.1 |
495 | 13.3 | 14.3 |
496 | 12.2 | 11.4 |
497 | 14.4 | 10.3 |
498 | 8.9 | 12.1 |
499 | 15.5 | 14.2 |
500 | 14.3 | 10.4 |
501 | 10 | 11.3 |
502 | 13.2 | 14.3 |
503 | 10.5 | 12.5 |
504 | 9.5 | 10.6 |
505 | 10.4 | 11.2 |
506 | 10.9 | 14.6 |
507 | 13.3 | 11 |
508 | 12.6 | 11 |
509 | 13.1 | 14.2 |
510 | 11.6 | 10.5 |
511 | 13.6 | 10.1 |
512 | 13.4 | 13.1 |
513 | 13.7 | 11.1 |
514 | 10.7 | 12.5 |
515 | 12.2 | 14.1 |
516 | 14 | 13.3 |
517 | 14.8 | 9.2 |
518 | 15.1 | 10.1 |
519 | 16.2 | 9.9 |
520 | 15.3 | 11.4 |
521 | 12.5 | 11.1 |
522 | 14.7 | 11.4 |
523 | 12.5 | 11.1 |
524 | 10.9 | 14.7 |
525 | 15.7 | 12.9 |
526 | 11.7 | 12.6 |
527 | 9.5 | 11.5 |
528 | 13.3 | 14.8 |
529 | 13.6 | 15.3 |
530 | 13.4 | 10.3 |
531 | 13.5 | 12.5 |
532 | 11.1 | 11.1 |
533 | 12.9 | 10.9 |
534 | 12.8 | 16 |
535 | 15.3 | 9.8 |
536 | 12.8 | 11.3 |
537 | 9.2 | 11.1 |
538 | 14.4 | 12 |
539 | 15.6 | 10.9 |
540 | 10.4 | 11.2 |
541 | 13 | 10.7 |
542 | 13.2 | 11.9 |
543 | 11 | 9.7 |
544 | 13.5 | 11 |
545 | 9.6 | 10.6 |
546 | 14.5 | 10.6 |
547 | 12.5 | 11.1 |
548 | 10.7 | 12.5 |
549 | 13.3 | 12.9 |
550 | 9.4 | 11 |
551 | 13.4 | 11.9 |
552 | 13.5 | 11.1 |
553 | 13.5 | 11 |
554 | 13.6 | 9.1 |
555 | 14.3 | 15.6 |
556 | 9.6 | 10.6 |
557 | 14.1 | 15.5 |
558 | 12.9 | 13.8 |
559 | 15.4 | 13.8 |
560 | 13.8 | 12.7 |
561 | 11.4 | 9.9 |
562 | 12.4 | 11.4 |
563 | 12.7 | 11.3 |
564 | 13.6 | 11.5 |
565 | 14.1 | 13.1 |
566 | 15.1 | 10.1 |
567 | 15.3 | 13.6 |
568 | 14.7 | 10.2 |
569 | 13.4 | 12.5 |
570 | 12.3 | 11.9 |
571 | 14.3 | 10.4 |
572 | 12.4 | 11.6 |
573 | 12.1 | 10.3 |
574 | 12.4 | 11.5 |
575 | 15.1 | 10.2 |
576 | 17.3 | 11.6 |
577 | 12.4 | 11.9 |
578 | 15 | 12.5 |
The table below gives the coordinates of 13 water pumps in London in 1854, relative to the same set of axes as the death coordinates.
Pump | x | y |
---|---|---|
1 | 8.7 | 17.9 |
2 | 11 | 18.5 |
3 | 13.4 | 17.4 |
4 | 14.9 | 17.8 |
5 | 8.7 | 14.9 |
6 | 8.9 | 12.8 |
7 | 12.6 | 11.7 |
8 | 10.7 | 7.4 |
9 | 13.5 | 8 |
10 | 16.4 | 9.3 |
11 | 18.9 | 9.7 |
12 | 16 | 5 |
13 | 9 | 5.1 |