Question

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 IQR 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? Justify your answer mathematically

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)

I really dont understand statistics whatsoever, its the worst :(

Answer 1

Part A: Which school has the lowest standard deviation?
Part B: Which school has the highest mean of the three high schools?

Answer 2

whats a standard deviation? @Kinged

Answer 3

An expression of how much the members of a group differ from the mean value for the group.

Answer 4

So it would Highschool Z right?

Answer 5

Yep.

Answer 6

Can you help me "justify the answer mathematically" @Kinged

Answer 7

Also is my answer for Part B adequate? : Part B) Mean= Average. The mean of Highschool W is 169 meaning the average attendance is 169 which is the highest average attendance of any of the schools. Which is why the school district should award Highschool W

Answer 8

Actually the two questions I asked are the justifications.

Answer 9

Your answer for part B is right.

Answer 10

thank you.