Answer:
(A) It should choose High school Z for the most consistent attendance among its students.
(B) It should choose High school W with the highest average attendance.
Step-by-step explanation:
We are given the data for attendance in the table below, where Low represents the fewest days attended and High represents the most days attended for a single student.
School     Hight School W    High School X    High School Z
Low            108              112              130
High            180              180             180
Range           72              68              50
Mean           169              160              162
Median         150              124              151
IQR Â Â Â Â Â Â Â Â Â Â Â 47.5 Â Â Â Â Â Â Â Â Â Â Â Â 49.5 Â Â Â Â Â Â Â Â Â Â Â Â 39.5
S.D. (σ)         29.5             32.4             27.5
(A) It is stated that the school district wants to award the school that has the most consistent attendance among its students.
Now, to check which high school should it choose; we will look for the standard deviation (σ) of each of the three schools because consistency is measured through standard deviation and the school with the lowest standard deviation means that it has the most consistent attendance among its students.
So, after looking at the standard deviation of all the three schools; the High School Z has the lowest standard deviation of 27.5.
This means that it should choose High school Z.
(B) It is stated that the school district wants to award the school with the highest average attendance.
Now, to check which high school should it choose; we will look for the Mean of each of the three schools because average is measured through mean of the data, and the school with the highest mean means that it has the highest average attendance.
So, after looking at the Mean of all the three schools; the High School W has the highest average of 169.
This means that it should choose High school W with the highest average attendance.
