Practice Quartiles in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Quartiles divide an ordered data set into four equal parts: Q1 is the 25th percentile, Q2 is the median (50th), and Q3 is the 75th percentile.
Q1 = 25th percentile, Q2 = median (50th), Q3 = 75th percentile.
Example 1
easyFind the quartiles Q_1, Q_2, and Q_3 for the data set: \{4, 7, 9, 11, 14, 18, 22, 25, 30\}.
Example 2
mediumA dataset of 10 values (sorted): \{2, 5, 8, 12, 15, 18, 21, 25, 30, 40\}. Find all quartiles and the five-number summary.
Example 3
mediumFind Q_1, Q_2, and Q_3 for the dataset: 4, 7, 8, 12, 15, 18, 21, 25, 30.
Example 4
easyFind Q_1 and Q_3 for: \{10, 20, 30, 40, 50, 60, 70\}.
Example 5
hardA student scores at the 75th percentile on a standardized test with scores \{45, 52, 60, 67, 72, 78, 83, 89, 95, 98\}. Confirm that Q_3 equals the 75th percentile score and find what percent of students scored below Q_1.