Answered: An indoor running track is 200 meters…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

An indoor running track is 200 meters in length. During a 3,000-meter race, runners must complete 15 laps of the track. An electronic timing device records the amount of time it takes each runner to complete a lap for every lap in the race. These are called lap times. The histograms below display the lap times for both Stefano and Alex, runners in the 3,000-meter race.

Using the histograms, which of the following is a correct comparison?

Neither runner had a lap time between 35 and 36 seconds.

Alex’s lap times show less variability than Stefano’s lap times.

The median lap time for both runners is in the 38–39 interval.

Both runners’ highest number of lap times in the 37–38 interval.

Alex's 3,000-Meter Race Lap Times
Stefano's 3,000-Meter Race Lap Times
2
30 31 32 33 34 35 36 37 38 39 40 41
30 31 32 33 34 35 36 37 38 39 40 41
Lap Times (Seconds)
Lap Times (Seconds)
g the histograms, which of the following is a correct comparison?
Frequency
4.
Frequency
2.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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