Question

Read the question and choose the best answer.

The standard distance for the marathon race was set by the International Amateur Athletic Federation in May 1921 at a distance of 42.195 kilometers (26 miles 385 yards). The Summer Olympics Marathon record was set by Samuel Kamau Wansiru of Kenya at the 2008 Beijing Summer Olympics Marathon. His time was 2:06:32 (2 hours, 6 minutes, 32 seconds). Faster times (outside the Summer Olympics) have been recorded for marathons.

* The fastest marathon time is 2:03:59, set by Haile Gebrselassie from Ethiopia on Sept 28, 2008.
* The mean time for seven of the fastest marathons is 2:04:34
* The median time is 2:04:27.
* The mode time is 2:04:27.
* The range of times between the fastest and seventh fastest times is 57 seconds.
* The two times between the median and the seventh fastest times are 2:04:53 and 2:04:55.



Based on the information provided, list the seven fastest times from least to greatest.

Answer 1

Converting the data to seconds, we have

* fastest: 7439
* mean: 7474
* nedian: 7467
* mode: 7467
* range: 57
* two other fast times: 7493 and 7495

So, we have
7439 x x x x x x (fastest)
7439 x x x x x 7596 (range)
7439 x x 7467 x x 7596 (median)
7439 x x 7467 7493 7495 7596 (other two)
7439 x 7467 7467 7493 7495 7596 (mode)

Hmm. I get 7361 for the last item, but that's too small if the mean is 7474. Better double-check my conversions and my math.

Answer 2

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