Kaitlyn measures the upload speed in megabits per second of her home broadband internet connection during peak hours and off-peak hours. The results are provided in the accompanying table. Peak Off-Peak 5.83 5.14 6.05 6.80 7.14 6.98 3.54 5.77 5.45 7.27 5.90 6.62 5.81 6.19 4.82 6.08 6.37 6.59 4.65 5.58 5.30 7.41 6.48 6.26 5.96 6.37 5.79 6.31 6.84 6.55 5.06 4.95 5.61 7.03 6.45 6.77 Examine the results of Kaitlyn's test to determine the statements that compare the medians and interquartile ranges of the data sets to each other in terms of this situation. Select the two correct answers. The median upload speed during peak hours is 5.905 megabits per second, which is less than the median upload speed during off-peak hours, 7.005 megabits per second. The upload speeds during peak hours are slower on average compared to off-peak times. The median upload speed during peak hours is 6.37 megabits per second, which is greater than the median upload speed during off-peak hours, 6.08 megabits per second. The upload speeds during peak hours is faster on average compared to off-peak times. The median upload speed during peak hours is 5.595 megabits per second, which is less than the median upload speed during off-peak hours, 6.605 megabits per second. The upload speeds during peak hours is slower on average compared to off-peak times. The interquartile range is 0.69 megabit per second for the upload speed during peak hours, which is greater than the interquartile range during off-peak hours, 0.67 megabit per second. So the spread of the upload speeds during off-peak hours is about the same as during peak hours. The interquartile range is 0.77 megabit per second for the upload speed during peak hours, which is greater than the interquartile range during off-peak hours, 0.61 megabit per second. So the upload speeds are closer to each other during off-peak hours than during peak hours.

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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Kaitlyn measures the upload speed in megabits per second of her home broadband internet connection during peak hours and off-peak hours. The results are provided in the accompanying table.

Peak	Off-Peak
5.83	5.14	6.05	6.80	7.14	6.98
3.54	5.77	5.45	7.27	5.90	6.62
5.81	6.19	4.82	6.08	6.37	6.59
4.65	5.58	5.30	7.41	6.48	6.26
5.96	6.37	5.79	6.31	6.84	6.55
5.06	4.95	5.61	7.03	6.45	6.77

Examine the results of Kaitlyn's test to determine the statements that compare the medians and interquartile ranges of the data sets to each other in terms of this situation. Select the two correct answers.

The median upload speed during peak hours is 5.905 megabits per second, which is less than the median upload speed during off-peak hours, 7.005 megabits per second. The upload speeds during peak hours are slower on average compared to off-peak times.
The median upload speed during peak hours is 6.37 megabits per second, which is greater than the median upload speed during off-peak hours, 6.08 megabits per second. The upload speeds during peak hours is faster on average compared to off-peak times.
The median upload speed during peak hours is 5.595 megabits per second, which is less than the median upload speed during off-peak hours, 6.605 megabits per second. The upload speeds during peak hours is slower on average compared to off-peak times.
The interquartile range is 0.69 megabit per second for the upload speed during peak hours, which is greater than the interquartile range during off-peak hours, 0.67 megabit per second. So the spread of the upload speeds during off-peak hours is about the same as during peak hours.
The interquartile range is 0.77 megabit per second for the upload speed during peak hours, which is greater than the interquartile range during off-peak hours, 0.61 megabit per second. So the upload speeds are closer to each other during off-peak hours than during peak hours.

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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