A meteorologist preparing a talk about global warming compiled a list of weekly low temperatures (in degree s Fahrenheit) he observed at his southern

geduiwelh 2020-11-27 Answered
A meteorologist preparing a talk about global warming compiled a list of weekly low temperatures (in degree s Fahrenheit) he observed at his southern Florida home last year. The coldest temperature for any week was 36°F, but he inadvertently recorded the Celsius value of 2°. Assuming that he correctly listed all the other temperatures, explain how this error will affect these summary statistics:
a) measures of center: mean and median. b) measures of spread: range, IQR, and standard deviation.
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hajavaF
Answered 2020-11-28 Author has 90 answers
a) The median will remain unchanged, while the mean will decrease. Because the lowest value decreased and the median is not influenced by one outlier while the mean is influenced by it.
b) The range and standard deviation will increase, while the IQR remains unchanged. Because the IQR is unaffected by an outlier, while the range and standard deviation are influenced by it.
Result: a) Median unchanged, mean decreases
b) Range and standard deviation increase, IQR unchanged
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