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Mathematics Worksheet

📦 Box Plots

Chapter: Statistics · Level ★★☆ · Time: 30 min
SCORE___ / 20
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After this worksheet you can
Find a five-number summary.Compute the interquartile range (IQR).Find outlier bounds.Interpret spread from a box plot.
📚 Quick Recap

A box plot (or box-and-whisker plot) summarizes a dataset's distribution using five key numbers, making it easy to compare spread, center, and outliers at a glance.

🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4

1The five-number summary of 3,5,7,9,11,13,15 is:
2The IQR of that dataset is:
3If Q1 = 50 and Q3 = 75, the IQR is:
4The upper outlier bound is Q3 + ___ × IQR:
Min Q1 Median Q3 Max The five-number summary · IQR = Q3 − Q1

🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11

5IQR = Q3 − .
6The IQR of 3,5,7,9,11,13,15 is .
7Find the five-number summary of 3, 5, 7, 9, 11, 13, 15.
8Find the IQR for that dataset.
9Find the lower and upper outlier bounds for that dataset.

🚀 Section C · Challenge ● CHALLENGE 5

10Find the IQR if Q1 = 50 and Q3 = 75.
💭 Reflection — the most useful thing I learned:
A ___/4   B ___/11   C ___/5   Total ___/20 Teacher's Signature Parent's Signature
✂ answer key — fold or cut before handing out

1-A   2-A   3-A   4-A  |  5 Q1   6 8   7 = Min=3, Q1=5, Median=9, Q3=13, Max=15   8 = 8   9 = Lower −7, Upper 25  |  10 = 25

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