Comparing Data Sets Instruetion Axtive Using Technology to Calculate Measures of Center Meteorologists look for weather trends across US states in the same geographical region. Kentucky and illinois share a border, The average annual temperatures ("F) from 1991 to 2000 for Kentucky were 57.5, 55.1, 52.2,55.6,55.6, \( 54.4,54.5,58.3,57,3 \), and 55.7 , The ayerage annual temperatures ( \( { }^{\circ} \mathrm{F} \) ) from 1901 to 2000 for tlinots wrere 53.7, 51.3, \( 50.9,51.8,51.4,49.9,50.8,55.0,53.3 \), and 52.0 . Use the statistics calculator to determine the measures of center for Kentucky, Kentucky mean :- \( \square \) iliinois mean = 52.07 Kentucky median = \( \square \) Iliinois median \( =51.85 \) Both measures of center for Kentucky aref \( \square \) those of illinois,

Did you know that comparing temperature data can paint a vivid picture of climate trends over time? For instance, the data from Kentucky shows an interesting fluctuation in temperatures throughout the years, unlike Illinois, which has a slightly lower mean temperature. By examining these differences, meteorologists can make predictions about weather patterns and climate change, which are crucial for agriculture, disaster preparedness, and urban planning. When computing measures of center like mean and median, it's easy to make a common mistake: forgetting to account for outliers! An outlier can skew your mean significantly, leading to misleading interpretations. That's why it’s important to consider both mean and median. The mean can tell you the overall average, but the median can provide insight into the temperature that lies in the middle of your data set, giving you a clearer picture of what's typical for each state!