By how much could this value be decreased without affecting the value of the sam

Question

By how much could this value be decreased without affecting the value of the sample median? (Enter if there is no limit to the amount.)

Please explain how is the median not affected.

I know I can obtain this value from my median value and max value. 420-370 = 50 seconds. So it can be decreased by 50 seconds, what I dont know is why the median is unaffected by this. Thanks

A sample of 26 offshore oil workers took part in a simulated escape exercise, resulting in the accompanying data on time (sec) to complete the escape 385 351 355 360 379 420 321 396 403 373 376 371 364 366 366 328 338 395 391 368 376 357 353 406 330 399 (a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.) Stems Leaves 32 0 8 NONE 1357 04668 13669 35 36 37 38 39 40 41 42 1569 3 6 10 NONE How does it suggest that the sample mean and median will compare? The display is reasonably symmetric, so the mean and median will be close O The display is positively skewed, so the median will be greater than the mean O The display is negatively skewed, so the median will be greater than the mean O The display is negatively skewed, so the mean will be greater than the median

Explanation / Answer

here largest value can be decreased to the current median so that sample median will not get affected

here median =(n+1)/2 th value =(26+1)/2 th value =14th value =~371

hence  largest value can be decreased =420-371=49

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