By how much could the largest sample observation be decreased without affecting the value of the median?

Step 4: If you have an odd number of total scores, round up to get the position of the median number. If you have an even number of total scores, go to the number in that position and average it with the number in the next higher position to get the median.

For example:

given sets: 5, 4, 3, 6, 8

now rearrange the sets in increasing order: 3, 4, 5, 6, 8

median = ( n + 1 ) / 2 = ( 5 + 1) / 2 = 3

here median = 5

We have given that:

384, 350, 354, 361, 378, 424, 321, 396, 404, 374, 376, 370, 363, 366, 365 329, 339, 394, 393, 369, 376, 359, 354, 408, 330, 398.

when we arrange it in increasing order.

here n = 26

median = ( n + 1 ) / 2

median = average of 13th and 14th element

median = 371

larger value can be decreased by 420 - 371 = 49

Hence,

Largest value can decreased by 49 without affecting the value of median.

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Question: 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:

384, 350, 354, 361, 378, 424, 321, 396, 404, 374, 376, 370, 363, 366, 365 329, 339, 394, 393, 369, 376, 359, 354, 408, 330, 398.

By how much could the largest sample observation be decreased without affecting the value of the median?