The Distribution of Sample Medians The Underlying Population
This program simulates the distribution of
sample medians based on repeated samples
drawn from a variety of population patterns
Which population do you want? 1 TRUE
##### 0
61 63 65 67 69
#####
#####
The Sample Medians
60
What is the sample size n (2-50)? 20 20
How many samples (50-250)? 193 40
20
The mean and standard deviation m= 68.07
of this population are: s= 2.762 0
Sample
The median of the population is 68 medians
On 193 samples of size n = 20 from the normal population:
The average of the 193 sample medians = #####
The corresponding standard deviation = #####
The median of the sample medians = #####
Click on this button for a New Set of Samples
TRUE
Click each item below for suggestions and investigations
Item 1
Item 2
Item 3
Item 4
Item 5
Created by: Sheldon P. Gordon & Florence S. Gordon
Farmingdale StateCollege NYIT
Development of this module was supported by the
NSF's Division of Undergraduate Education
under grants DUE-0310123 and DUE-0442160.
derlying Population
69 71 73 75
Sample Medians
Normal data Uniform data U-shaped Skewed data
mu, sigma,n= 68.07 68.47 68.61 71.19
2.762 4.162 4.801 3.291
210 424 397 410
1 61 61 4 61 23 61 18 61
2 61 62 12 61 28 61 22 61
3 62 63 6 61 19 61 35 61
4 62 64 16 61 24 61 44 62
5 62 65 28 61 25 61 36 62
6 62 66 54 61 27 61 21 62
7 62 67 60 61 21 61 7 62
8 62 68 70 61 29 61 8 62
9 63 69 56 61 34 61 9 63
10 63 70 32 61 29 61 10 63
11 63 71 28 61 44 61 24 63
12 64 72 20 61 37 61 34 63
13 64 73 18 61 28 61 45 63
14 64 74 12 61 35 61 41 63
15 64 75 4 61 21 61 43 64
16 64 61 61 64
17 64 61 61 64
18 64 61 61 64
19 64 61 62 64
20 65 61 62 64
21 65 61 62 64
22 65 61 62 64
23 65 61 62 64
24 65 62 62 64
25 65 62 62 64
26 65 62 62 64
27 65 62 62 64
28 65 62 62 64
29 65 62 62 64
30 65 62 62 65
31 65 62 62 65
32 65 62 62 65
33 65 62 62 65
34 66 62 62 65
35 66 62 62 65
36 66 62 62 65
37 66 62 62 65
38 66 62 62 65
39 66 62 62 65
40 66 62 62 65
41 66 62 63 66
42 66 62 63 66
43 66 62 63 66
44 66 62 63 66
45 66 62 63 66
46 66 62 63 66
47 66 62 63 66
48 66 62 63 66
49 66 62 63 66
50 66 62 63 66
51 66 62 63 67
52 66 63 63 67
53 66 63 63 67
54 66 63 63 67
55 66 63 63 67
56 66 63 63 67
57 66 63 63 67
58 66 63 63 67
59 66 63 63 67
60 66 63 63 67
61 67 63 63 67
62 67 63 63 67
63 67 63 63 67
64 67 63 63 67
65 67 63 63 67
66 67 63 63 68
67 67 63 63 68
68 67 63 63 68
69 67 63 63 68
70 67 63 63 68
71 67 64 63 68
72 67 64 63 68
73 67 64 63 68
74 67 64 63 68
75 67 64 63 68
76 67 64 64 68
77 67 64 64 68
78 67 64 64 68
79 67 64 64 68
80 67 64 64 69
81 67 64 64 69
82 67 64 64 69
83 67 64 64 69
84 67 64 64 69
85 67 64 64 69
86 67 64 64 69
87 67 64 64 69
88 67 64 64 69
89 67 64 64 69
90 67 64 64 69
91 68 64 64 69
92 68 64 64 69
93 68 64 64 69
94 68 64 64 69
95 68 65 64 69
96 68 65 64 69
97 68 65 64 69
98 68 65 64 69
99 68 65 64 69
100 68 65 64 69
101 68 65 64 69
102 68 65 64 69
103 68 65 64 70
104 68 65 64 70
105 68 65 64 70
106 68 65 64 70
107 68 65 64 70
108 68 65 64 70
109 68 65 64 70
110 68 65 64 70
111 68 65 64 70
112 68 65 64 70
113 68 65 64 70
114 68 65 64 70
115 68 65 64 70
116 68 65 64 70
117 68 65 64 70
118 68 65 64 70
119 68 65 64 70
120 68 66 65 70
121 68 66 65 70
122 68 66 65 70
123 68 66 65 71
124 68 66 65 71
125 68 66 65 71
126 69 66 65 71
127 69 66 65 71
128 69 66 65 71
129 69 66 65 71
130 69 66 65 71
131 69 66 65 71
132 69 66 65 71
133 69 66 65 71
134 69 66 65 71
135 69 66 65 71
136 69 66 65 71
137 69 66 65 71
138 69 66 65 71
139 69 66 65 71
140 69 66 65 71
141 69 66 65 71
142 69 66 65 71
143 69 66 65 71
144 69 66 65 71
145 69 66 65 71
146 69 66 65 71
147 69 67 65 71
148 69 67 65 71
149 69 67 65 71
150 69 67 65 71
151 69 67 65 71
152 69 67 65 71
153 69 67 65 71
154 70 67 65 71
155 70 67 65 71
156 70 67 66 71
157 70 67 66 71
158 70 67 66 71
159 70 67 66 71
160 70 67 66 71
161 70 67 66 71
162 70 67 66 71
163 70 67 66 71
164 70 67 66 71
165 70 67 66 71
166 70 67 66 71
167 70 67 66 71
168 70 68 66 71
169 70 68 66 71
170 71 68 66 71
171 71 68 66 71
172 71 68 66 71
173 71 68 66 71
174 71 68 66 71
175 71 68 66 71
176 71 68 66 71
177 71 68 67 72
178 71 68 67 72
179 71 68 67 72
180 71 68 67 72
181 71 68 67 72
182 71 68 67 72
183 71 68 67 72
184 72 68 68 72
185 72 68 68 72
186 72 68 68 72
187 72 68 68 72
188 72 68 68 72
189 72 68 68 72
190 72 68 68 72
191 72 68 68 72
192 72 68 69 72
193 72 68 69 72
194 73 68 69 72
195 73 68 69 72
196 73 68 69 72
197 73 69 69 72
198 73 69 69 72
199 73 69 69 72
200 73 69 69 72
201 73 69 70 72
202 73 69 70 72
203 74 69 70 72
204 74 69 70 72
205 74 69 70 72
206 74 69 70 72
207 74 69 70 72
208 74 69 70 72
209 75 69 70 72
210 75 69 70 72
211 69 71 72
212 69 71 72
213 69 71 72
214 69 71 72
215 69 71 72
216 69 71 72
217 69 71 72
218 69 71 72
219 69 71 72
220 69 71 72
221 69 71 72
222 69 71 72
223 69 71 72
224 69 71 72
225 69 71 72
226 69 71 72
227 69 71 72
228 69 71 72
229 69 71 72
230 69 71 72
231 70 71 72
232 70 71 72
233 70 71 72
234 70 71 72
235 70 72 73
236 70 72 73
237 70 72 73
238 70 72 73
239 70 72 73
240 70 72 73
241 70 72 73
242 70 72 73
243 70 72 73
244 70 72 73
245 70 72 73
246 70 72 73
247 70 72 73
248 70 72 73
249 70 72 73
250 70 72 73
251 70 72 73
252 70 72 73
253 70 72 73
254 70 72 73
255 70 72 73
256 70 72 73
257 70 72 73
258 70 72 73
259 70 72 73
260 71 72 73
261 71 72 73
262 71 72 73
263 71 72 73
264 71 72 73
265 71 72 73
266 71 72 73
267 71 72 73
268 71 72 73
269 71 73 73
270 71 73 73
271 71 73 73
272 71 73 73
273 71 73 73
274 71 73 73
275 71 73 73
276 71 73 73
277 71 73 73
278 71 73 73
279 71 73 73
280 71 73 73
281 71 73 73
282 71 73 73
283 71 73 73
284 71 73 73
285 71 73 73
286 71 73 73
287 71 73 73
288 71 73 73
289 71 73 73
290 71 73 73
291 71 73 73
292 71 73 73
293 71 73 73
294 71 73 73
295 71 73 74
296 71 73 74
297 71 73 74
298 71 73 74
299 71 73 74
300 71 73 74
301 71 73 74
302 71 73 74
303 71 73 74
304 72 73 74
305 72 73 74
306 72 73 74
307 72 73 74
308 72 73 74
309 72 73 74
310 72 73 74
311 72 73 74
312 72 73 74
313 72 73 74
314 72 74 74
315 72 74 74
316 72 74 74
317 72 74 74
318 72 74 74
319 72 74 74
320 72 74 74
321 72 74 74
322 72 74 74
323 72 74 74
324 72 74 74
325 72 74 74
326 72 74 74
327 72 74 74
328 72 74 74
329 72 74 74
330 72 74 74
331 72 74 74
332 72 74 74
333 72 74 74
334 72 74 74
335 72 74 74
336 72 74 74
337 72 74 74
338 72 74 74
339 72 74 74
340 72 74 74
341 73 74 74
342 73 74 74
343 73 74 74
344 73 74 74
345 73 74 74
346 73 74 74
347 73 74 74
348 73 74 74
349 73 74 75
350 73 74 75
351 73 74 75
352 73 74 75
353 73 74 75
354 73 74 75
355 73 75 75
356 73 75 75
357 73 75 75
358 73 75 75
359 73 75 75
360 73 75 75
361 73 75 75
362 73 75 75
363 73 75 75
364 73 75 75
365 73 75 75
366 73 75 75
367 73 75 75
368 73 75 75
369 74 75 75
370 74 75 75
371 74 75 75
372 74 75 75
373 74 75 75
374 74 75 75
375 74 75 75
376 74 75 75
377 74 75 75
378 74 75 75
379 74 75 75
380 74 75 75
381 74 75 75
382 74 75 75
383 74 75 75
384 74 75 75
385 74 75 75
386 74 75 75
387 74 75 75
388 74 75 75
389 74 75 75
390 74 75 75
391 74 75 75
392 74 75 75
393 74 75 75
394 74 75 75
395 74 75 75
396 74 75 75
397 74 75 75
398 74 75
399 74 75
400 74 75
401 74 75
402 74 75
403 74 75
404 75 75
405 75 75
406 75 75
407 75 75
408 75 75
409 75 75
410 75 75
411 75
412 75
413 75
414 75
415 75
416 75
417 75
418 75
419 75
420 75
421 75
422 75
423 75
424 75
Skewed data
3
5
6
15
11
10
15
14
23
20
54
58
60
54
62
1 #NAME? #NAME? freq %
2 #NAME? #NAME? 0 0
3 #NAME? #NAME? For Pop'n Histogram 0 0
4 #NAME? #NAME? Pop Freqs 0 0
5 #NAME? #NAME? 61 4 0 0
6 #NAME? #NAME? 62 12 0 0
7 #NAME? #NAME? 63 6 0 0
8 #NAME? #NAME? 64 16 0 0
9 #NAME? #NAME? 65 28 0 0
10 #NAME? #NAME? 66 54 0 0
11 #NAME? #NAME? 67 60 0 0
12 #NAME? #NAME? 68 70 0 0
13 #NAME? #NAME? 69 56 0 0
14 #NAME? #NAME? 70 32 0 0
15 #NAME? #NAME? 71 28 0 0
16 #NAME? #NAME? 72 20 0 0
17 #NAME? #NAME? 73 18 0 0
18 #NAME? #NAME? 74 12 0 0
19 #NAME? #NAME? 75 4
20 #NAME? #NAME?
21 #NAME? #NAME? pop= normal
22 #NAME? #NAME? pop n= 210
23 #NAME? #NAME? 210
24 #NAME? #NAME?
25 #NAME? #NAME? sample sd= #NAME?
26 #NAME? #NAME? median of sample medians = #NAME?
27 #NAME? #NAME? New Sample = 1
28 #NAME? #NAME?
29 #NAME? #NAME?
30 #NAME? #NAME?
31 #NAME? #NAME?
32 #NAME? #NAME?
33 #NAME? #NAME?
34 #NAME? #NAME?
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133 #NAME? #NAME?
134 #NAME? #NAME?
135 #NAME? #NAME?
136 #NAME? #NAME?
137 #NAME? #NAME?
138 #NAME? #NAME?
139 #NAME? #NAME?
140 #NAME? #NAME?
141 #NAME? #NAME?
142 #NAME? #NAME?
143 #NAME? #NAME?
144 #NAME? #NAME?
145 #NAME? #NAME?
146 #NAME? #NAME?
147 #NAME? #NAME?
148 #NAME? #NAME?
149 #NAME? #NAME?
150 #NAME? #NAME?
151 #NAME? #NAME?
152 #NAME? #NAME?
153 #NAME? #NAME?
154 #NAME? #NAME?
155 #NAME? #NAME?
156 #NAME? #NAME?
157 #NAME? #NAME?
158 #NAME? #NAME?
159 #NAME? #NAME?
160 #NAME? #NAME?
161 #NAME? #NAME?
162 #NAME? #NAME?
163 #NAME? #NAME?
164 #NAME? #NAME?
165 #NAME? #NAME?
166 #NAME? #NAME?
167 #NAME? #NAME?
168 #NAME? #NAME?
169 #NAME? #NAME?
170 #NAME? #NAME?
171 #NAME? #NAME?
172 #NAME? #NAME?
173 #NAME? #NAME?
174 #NAME? #NAME?
175 #NAME? #NAME?
176 #NAME? #NAME?
177 #NAME? #NAME?
178 #NAME? #NAME?
179 #NAME? #NAME?
180 #NAME? #NAME?
181 #NAME? #NAME?
182 #NAME? #NAME?
183 #NAME? #NAME?
184 #NAME? #NAME?
185 #NAME? #NAME?
186 #NAME? #NAME?
187 #NAME? #NAME?
188 #NAME? #NAME?
189 #NAME? #NAME?
190 #NAME? #NAME?
191 #NAME? #NAME?
192 #NAME? #NAME?
193 #NAME? #NAME?
194 0
195 0
196 0
197 0
198 0
199 0
200 0
201 0
202 0
203 0
204 0
205 0
206 0
207 0
208 0
209 0
210 0
211 0
212 0
213 0
214 0
215 0
216 0
217 0
218 0
219 0
220 0
221 0
222 0
223 0
224 0
225 0
226 0
227 0
228 0
229 0
230 0
231 0
232 0
233 0
234 0
235 0
236 0
237 0
238 0
239 0
240 0
241 0
242 0
243 0
244 0
245 0
246 0
247 0
248 0
249 0
250 0
251 0
252 0
253 0
254 0
255 0
256 0
257 0
258 0
259 0
260 0
261 0
262 0
263 0
264 0
265 0
266 0
267 0
268 0
269 0
270 0
271 0
272 0
273 0
274 0
275 0
276 0
277 0
278 0
279 0
280 0
281 0
282 0
283 0
284 0
285 0
286 0
287 0
288 0
289 0
290 0
291 0
292 0
293 0
294 0
295 0
296 0
297 0
298 0
299 0
300 0
301 0
302 0
303 0
304 0
305 0
306 0
307 0
308 0
309 0
310 0
311 0
312 0
313 0
314 0
315 0
316 0
317 0
318 0
319 0
320 0
321 0
322 0
323 0
324 0
325 0
326 0
327 0
328 0
329 0
330 0
331 0
332 0
333 0
334 0
335 0
336 0
337 0
338 0
339 0
340 0
341 0
342 0
343 0
344 0
345 0
346 0
347 0
348 0
349 0
350 0
351 0
352 0
353 0
354 0
355 0
356 0
357 0
358 0
359 0
360 0
361 0
362 0
363 0
364 0
365 0
366 0
367 0
368 0
369 0
370 0
371 0
372 0
373 0
374 0
375 0
376 0
377 0
378 0
379 0
380 0
381 0
382 0
383 0
384 0
385 0
386 0
387 0
388 0
389 0
390 0
391 0
392 0
393 0
394 0
395 0
396 0
397 0
398 0
399 0
400 0
401 0
402 0
403 0
404 0
405 0
406 0
407 0
408 0
409 0
410 0
411 0
412 0
413 0
414 0
415 0
416 0
417 0
418 0
419 0
420 0
421 0
422 0
423 0
424 0
425 0
426 0
427 0
428 0
429 0
430 0
431 0
432 0
433 0
434 0
435 0
436 0
437 0
438 0
439 0
440 0
441 0
442 0
443 0
444 0
445 0
446 0
447 0
448 0
449 0
450 0
451 0
452 0
453 0
454 0
455 0
456 0
457 0
458 0
459 0
460 0
461 0
462 0
463 0
464 0
465 0
466 0
467 0
468 0
469 0
470 0
471 0
472 0
473 0
474 0
475 0
476 0
477 0
478 0
479 0
480 0
481 0
482 0
483 0
484 0
485 0
486 0
487 0
488 0
489 0
490 0
491 0
492 0
493 0
494 0
495 0
496 0
497 0
498 0
499 0
500 0
Bin Frequency
60.5 0
61.5 0
62.5 0
63.5 0
64.5 0
65.5 0
66.5 0
67.5 0
68.5 0
69.5 0
70.5 0
71.5 0
72.5 0
73.5 0
74.5 0
75.5 0