How does the speed of a runner vary over the course of a marathon (a distance of

Question

How does the speed of a runner vary over the course of a marathon (a distance of 42.195 km)? Consider determining both the time to run the first 5 km and the time to run between the 35-km and 40-km points, and then subtracting the former time from the latter time. A positive value of this difference corresponds to a runner slowing down toward the end of the race. The accompanying histogram is based on times of 1000 runners who participated in several different Japanese marathons.†

What are some interesting features of this histogram? (Select all that apply.)

symmetric

negatively skewed

positively skewedsmall

sample size

small spread

mostly positive values

Approximately what is the median difference value? (Enter an approximate value.)
sec

Roughly what proportion of the runners ran the late distance more quickly than the early distance? (Round your answer to two decimal places.)

Explanation / Answer

Ans:

1)Histogram is positively skewed and with most postive values.

2)In positive skewed data,median is smaller than the mean.

median should be approximately 185

3)The proportion of negative values=12.5/1000=0.0125 or 1.25%

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