The Kellen 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 W 108 180 72 169 150 47.5 29.5
High School X 112 180 68 160 124 49.5 32.4
High School Z 130 180 50 162 151 39.5 27.5
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? Justif
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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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I'm not sure, nevertheless I think school Z, since a lower \sigma, means a more narrow distribution, furthermore school X and school Y have a lower "Low" values than school Z
please wait, I ask for help to another helper
@Loser66 please help
I am not got at statistics/probability. I am sorry.
@ganeshie8 please help
@freckles please help
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@oleg3321 please help
for part B I think that the answer is school X, since school X has the highest mean
oops.. school W not school X
To me, for a) I choose Z since the \(\sigma \) is smallest. That means the consistent is highest. One more reason, for L = 130 , and H = 180, we can see that the fewest day the student attendance is higher than other while the highest day is the same with others.
for b) I choose W (the reason is its mean is highest, like what you choose)
But, don't rely on me. I am not good at statistics.
yes! I also used the value of \sigma, since the value of \sigma tells us the shape of the distribution
ok thanks you guys :) i would date to ask but could dyou help w. one more