Question

a sample of 265 students was taken from two high schools, alpha high school and branch high school. the box and whisker plots represent the age of the students sampled.
alpha high school
14 16 17 19 20
branch high school
14 16 18 19 22
13 14 15 16 17 18 19 20 21 22 23
sample of 265 students

1. what is the median age of each school?
2. how many students at branch school are between the ages of 19 and 22?
3. how many students at alpha high school are 14 years old?
4. are there more students at alpha high school between the ages of 17 and 19 or between the ages of 19 and 20?
5. one high schools data has a standard deviation of 1.77, the other school has a standard deviation of 2.01. match the school with the standard deviation. explain your answer.
6. the max age of the students of each school seems a little high. create a hypothesis as to why this is.

Explanation:

Answer:

(1) Alpha High School: 17; Branch High School: 18
(2) Cannot be determined from the box - and - whisker plot
(3) Cannot be determined from the box - and - whisker plot
(4) More students between 17 and 19
(5) Alpha High School: 1.77; Branch High School: 2.01 (Branch High School has a wider spread of data as seen from the box - and - whisker plot, so it has the higher standard deviation)
(6) Possible hypothesis: There may be students who repeated a grade or are older due to late enrollment or other personal circumstances.