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The Harlowe school district gives awards to its schools based on overall student attendance. The data for attendance are shown in the table, where Low represents the fewest days attended and High represents the most days attended for a single student. School Low High Range Mean Median IRQ σ High School A 98 180 82 158 148 55.5 35.2 High School B 105 180 75 145 124 48.5 28.2 High School C 102 180 78 169 151 53.5 31.3 Part A: If the school district wants to award the school that has the most consistent attendance among its students, which high school should it choose and why? Justify your answer mathematically. (5 points) Part B: If the school district wants to award the school with the highest average attendance, which school should it choose and why? Justify your answer mathematically. (5 points)
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No idea. Sorry.
That's alright @KyanTheDoodle
Which school that has the most consistent attendance and why?
I feel like Part A would be "High School B would have the award for the most consistent attendance because the range is the smallest." Bu t I feel like there is more to it.
yes the range is smallest, that is one reason
what about the sigma column ?
That's the lowest, but I forgot what that sign means.
i can't be sure from the context
i don't know what IRQ is either
The interquartile range (IQR) is also the lowest.
so there is a typo in the table column heading ?
What about part B, which school has the greatest average?
This is what I got for both. Part A: The school that gets the award for the most consistent attendance among its students is High School B. This is because its range is the smallest (meaning there is a smaller variation in the highest and lowest values) and because the interquartile range is the smallest (meaning that the data is the spread out the least). Part B: The school that gets the award for the highest average attendance among its students is High School C. This is because its mean and median are the highest, (meaning that more kids attended school on average).
That looks good, i'm not sure if the median is important for the second part though