For the given data:
\[
1 ; 9 ; 15 ; 22 ; 23 ; 24 ; 24 ; 25 ; 25 ; 26 ; 27 ; 28 ; 29 ; 37 ; 45 ; 50
\]

Determine the Quartiles, Q1, Q2 and Q3 of the data:
Q1 :

Q2 :

Q3 :

Step 1 ：Sort the data in ascending order: 1, 9, 15, 22, 23, 24, 24, 25, 25, 26, 27, 28, 29, 37, 45, 50.

Step 2 ：To find Q1, take the median of the first half of the data: 1, 9, 15, 22, 23, 24, 24, 25. Since there are 8 numbers, find the average of the 4th and 5th numbers. \(Q1 = \frac{22 + 23}{2} = 22.5\)

Step 3 ：To find Q2, take the median of the whole data set: 1, 9, 15, 22, 23, 24, 24, 25, 25, 26, 27, 28, 29, 37, 45, 50. Since there are 16 numbers, find the average of the 8th and 9th numbers. \(Q2 = \frac{25 + 25}{2} = 25\)

Step 4 ：To find Q3, take the median of the second half of the data: 25, 26, 27, 28, 29, 37, 45, 50. Since there are 8 numbers, find the average of the 4th and 5th numbers. \(Q3 = \frac{28 + 29}{2} = 28.5\)

Step 5 ：The quartiles of the data are: \(\boxed{Q1 = 22.5}\), \(\boxed{Q2 = 25}\), \(\boxed{Q3 = 28.5}\)