Quartile
See how to find the quartiles of the given values (Q1, Q2, Q3).
2 examples and their solutions.
Quartiles
Definition
Q1 Q2 Q3
The quartiles (Q1, Q2, Q3) are the valuesthat divide the values into 4 parts.
Q1: Median of the left half (less side)
Q2: Median of the whole values
Q3: Median of the right half (greater side)
Example
Find the quartiles of the given values.
1, 2, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9
Solution 1, 2, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9
1, 2, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9 - [1]
Q2 = 6
Q2 = 6
[1]
Q2: Median of the whole values
↓
1, 2, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9 - [2]
Q1 = 4
Q1 = 4
[2]
Q1: Median of the left half
↓
1, 2, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9 - [3]
Q3 = 7
Q3 = 7
[3]
Q3: Median of the right half
↓
1, 2, 4, 4, 5, 5, 6, 6, 7, 7, 7, 7, 8, 8, 9
Q1 = 4
Q2 = 6
Q3 = 7
Q1 = 4
Q2 = 6
Q3 = 7
Close
Example
Find the quartiles of the given values.
1, 2, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
Solution 1, 2, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
1, 2, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9 - [1]
↑
Q2 = 6 + 72
= 6.5
↑
Q2 = 6 + 72
= 6.5
[1]
↓
1, 2, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9 - [2]
↑
6.5
Q1 = 4
↑
6.5
Q1 = 4
[2]
Q2 = 6.5
→ Q1: Median of 1 ~ 6
→ Q1: Median of 1 ~ 6
↓
1, 2, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9 - [3]
↑
6.5
Q3 = 7
↑
6.5
Q3 = 7
[3]
Q2 = 6.5
→ Q3: Median of 7 ~ 9
→ Q3: Median of 7 ~ 9
↓
1, 2, 4, 4, 5, 5, 6, 7, 7, 7, 7, 8, 8, 9
↑
6.5
Q1 = 4
Q2 = 6.5
Q3 = 7
↑
6.5
Q1 = 4
Q2 = 6.5
Q3 = 7
Close