The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.2.9 (Lee, 1994). Table #3.2.9: Lengths of Rivers (km) Flowing to Pacific OceanRiverLength (km)RiverLength (km)Clarence209Clutha322Conway48Taieri288Waiau169Shag72Hurunui138Kakanui64Waipara64Waitaki209Ashley97Waihao64Waimakariri161Pareora56Selwyn95Rangitata121Rakaia145Ophi80Ashburton90 Find the mean and median.Find the range.Find the variance and standard deviation.

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Answered: The lengths (in kilometers) of rivers…

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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The lengths (in kilometers) of rivers on the South Island of New Zealand that flow to the Pacific Ocean are listed in table #3.2.9 (Lee, 1994).

Table #3.2.9: Lengths of Rivers (km) Flowing to Pacific Ocean

River	Length (km)	River	Length (km)
Clarence	209	Clutha	322
Conway	48	Taieri	288
Waiau	169	Shag	72
Hurunui	138	Kakanui	64
Waipara	64	Waitaki	209
Ashley	97	Waihao	64
Waimakariri	161	Pareora	56
Selwyn	95	Rangitata	121
Rakaia	145	Ophi	80
Ashburton	90

Find the mean and median.
Find the range.
Find the variance and standard deviation.

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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