Ecuador has a consistent temperature year-round, steady in the mid-70's. A climate scientist preparing a talk about climate change compiled a list of weekly low temperatures (in degrees Fahrenheit) at the weather station of Universidad Técnica Particular de Loja, last year. The coldest temperature for any week was 48°F but he mistakenly recorded the Celsius value 9°. Assuming that he correctly listed all the other temperatures, explain how this error will affect these summary statistics: i) measures of center: mean and median. ii) measures of spread: range, IQR, and standard deviation.

Ecuador has a consistent temperature year-round, steady in the mid-70's. A climate scientist preparing a talk about climate change compiled a list of weekly low temperatures (in degrees Fahrenheit) at the weather station of Universidad Técnica Particular de Loja, last year. The coldest temperature for any week was 48°F but he mistakenly recorded the Celsius value 9°. Assuming that he correctly listed all the other temperatures, explain how this error will affect these summary statistics: i) measures of center: mean and median. ii) measures of spread: range, IQR, and standard deviation.

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

Ecuador has a consistent temperature year-round, steady in the mid-70's. A climate scientist preparing
a talk about climate change compiled a list of weekly low temperatures (in degrees Fahrenheit) at the
weather station of Universidad Técnica Particular de Loja, last year. The coldest temperature for any
week was 48°F but he mistakenly recorded the Celsius value 9°. Assuming that he correctly listed all
the other temperatures, explain how this error will affect these summary statistics:
i) measures of center: mean and median.
ii) measures of spread: range, IQR, and standard deviation.
The Cornell Lab of Ornithology holds an annual Christmas Bird Count, in which bird watchers at
various locations around the country see how many different species of birds they can spot. Here are
the number of species counted from the 20 sites with the most species in 2013:
184, 98, 101, 126, 150, 166, 82, 136, 124, 118, 133, 83, 86, 101, 105, 97, 88, 131, 128, 106
Without technology, find the following statistics. Show your work (formulas and steps)!
i) mean
ii) median and quartile
iii) range and IQR

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