The Jonas 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.
High School M: LOW: 128 HIGH: 180 RANGE: 62 MEAN: 141 MEDIAN: 160 IQR: 55.5 Standard Deviation: 41.5

High School N: LOW: 131 HIGH: 180 RANGE: 49 MEAN: 159 MEDIAN: 154 IQR: 48.5 SD: 36.5

High School P: LOW; 140 HIGH; 180 RANGE; 40 MEAN; 153 MEDIAN; 165 IQR; 32.5 SD: 31.5

Question

The Jonas 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.
High School M: LOW: 128  HIGH: 180  RANGE: 62  MEAN: 141  MEDIAN: 160  IQR: 55.5  Standard Deviation: 41.5

High School N: LOW: 131  HIGH: 180  RANGE: 49  MEAN: 159 MEDIAN: 154 IQR: 48.5 SD: 36.5

High School P: LOW; 140 HIGH; 180 RANGE; 40 MEAN; 153 MEDIAN; 165 IQR; 32.5 SD: 31.5

shes.radical · Answer

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.

shes.radical · Answer

@helpppppppppp

anonymous · Answer

The data gives you the mean. So wouldn't the school with the highest average be the one with the highest mean? So school N?

shes.radical · Answer

i thought average was range ):

anonymous · Answer

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.  -google

shes.radical · Answer

plus, School N was my answer for 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.) so i figured it wouldnt be the answer for both .-.

anonymous · Answer

I think for A, you would look for the one with the lowest standard deviation

anonymous · Answer

that would mean its the most consistent, since the data varies the least

shes.radical · Answer

whaa...???? i graphed the low, high, and median of all schools and figured since School N was the only Symmetrical one, that would be the answer

anonymous · Answer

Well based on what they give you, and without graphing it, a smaller standard deviation would mean greater consistency. So I would think School P would be the answer for A. And N for Part B

anonymous · Answer

think of a scatter plot graph. you have data thats everywhere and not consistent, that would be a higher standard deviation. And then you have data thats really close to each other and forms almost a straight line. that would have a smaller standard deviation since it's more consistent

shes.radical · Answer

that's true....you're making me feel really stupid xD well, thanks! a ton..

anonymous · Answer

I took AP Stat last year... basically an expansion on this stuff. Glad I could help!