The high temperature, in ∘C, on the first day of winter was recorded in a certain city every year from 1915 to 2015. The followi
ng six temperature values were randomly selected from the data. 4,12,6,9,6,11
To determine the "spread" of the data, would you employ calculations for the sample standard deviation, or population standard deviation for this data set?
Mean value = 4 + 12 + 6 + 9 + 6 + 11 = 48 / 6 = 8 mean
Standard deviation with numbers close together in random samples show the numbers would be close to their average mean and would never show spread of data in lower range numbers
Range = 12 - 4 = 8 does not determine the ''spread'' for measures such as temperatures it shows the mean also as unintended.
Criteria must include lowest and highest temperature to reflect 100 years and so population standard in lower set data would reflect a reliable calculation.
