pdf Finding The IQR Of Given Data Sets

This worksheet provides focused practice calculating the interquartile range (IQR) from raw data sets. Students are given multiple unordered lists of numerical values and must first organize each data set, determine the lower quartile (Q1) and upper quartile (Q3), and then compute the IQR by subtracting \( Q_1 \) from \( Q_3 \).

Because the data sets vary in size and include both even and odd numbers of values, students must carefully apply quartile rules in different scenarios. The structure reinforces attention to detail when ordering data and identifying the median of each half. By repeatedly applying the formula \( \text{IQR} = Q_3 - Q_1 \), students build procedural fluency while strengthening their understanding of variability within the middle 50% of a distribution.

This resource works well as independent practice, homework, small group intervention, or formative assessment within a statistics and data analysis unit.

Skills Assessed

• Ordering data sets

• Determining lower and upper quartiles (Q1 and Q3)

• Calculating interquartile range using \( \text{IQR} = Q_3 - Q_1 \)

• Applying quartile rules to even and odd data sets

• Interpreting variability within a distribution

Details

• 2 pages

• Answer key included

ID# 0718