U.5
Quartiles & Interquartile Range
Find the median, the lower and upper quartiles, and the interquartile range.
Level
Medium
Problems
Quartiles & Interquartile Range
Skill U.5 · Statistics · ★★☆ Medium
- Name
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Order the data. Find Q1, the median, Q3, and the IQR.
Example
, ,
Think: The median is 7. Q1 is the median of the lower half (2, 4, 5) and Q3 the median of the upper half (9, 10, 12).
- 1
5, 23, 17, 16, 18, 29, 3, 24, 12, 26
- Q1
- Median
- Q3
- IQR
- 2
24, 16, 17, 26, 3, 23, 14, 19, 30
- Q1
- Median
- Q3
- IQR
- 3
23, 2, 16, 7, 25, 22, 8, 6, 15, 29
- Q1
- Median
- Q3
- IQR
- 4
30, 22, 26, 23, 15, 27, 19, 10
- Q1
- Median
- Q3
- IQR
- 5
19, 14, 24, 13, 3, 12, 9, 17, 15
- Q1
- Median
- Q3
- IQR
- 6
4, 19, 9, 25, 17, 2, 23, 26, 29, 16
- Q1
- Median
- Q3
- IQR
Answer Key
U.5 Quartiles & Interquartile Range · ★★☆ Medium
- 1Q1 12 · Median 17.5 · Q3 24 · IQR 12
- 2Q1 15 · Median 19 · Q3 25 · IQR 10
- 3Q1 7 · Median 15.5 · Q3 23 · IQR 16
- 4Q1 17 · Median 22.5 · Q3 26.5 · IQR 9.5
- 5Q1 10.5 · Median 14 · Q3 18 · IQR 7.5
- 6Q1 9 · Median 18 · Q3 25 · IQR 16