9. The number of stories in the 13 tallest buildings for two different cities is listed below. Which set of data is more variable? Accra: \( 75,71,64,56,53,55,47,55,52,50,50,50,47 \) Kumasi: \( 64,54,40,32,46,44,42,41,40,40,34,32,30 \)
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Beyond the Answer
To determine which set of data is more variable, we can look at the spread of the numbers in each set. Accra has a higher range, with the tallest building at 75 stories and the shortest at 47 stories, resulting in a range of 28. Kumasi's tallest building has 64 stories and the shortest is 30, leading to a range of 34. However, range alone doesn't tell the whole story. We can also consider the standard deviation to fully capture the variability in each dataset. Calculating the standard deviation for both sets will give a clearer picture. Accra seems to show relatively consistent building heights with some outliers, while Kumasi has a greater spread, which suggests that its buildings vary more widely in height. So, Kumasi appears to have the greater variability in building heights!
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