6.DS.5 Lesson 2-4-part2 Apply Day · Set B
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2.4 · Part II

Second Practice Form · Independent Application and Spiral Review

Display Data with Box Plots · Box Plot

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.4 · Part II
1Box Plots & 5-Number Summary
2The Structural Procedure
  1. 5-Number Summary: Minimum, Lower Quartile (Q1), Median (Q2), Upper Quartile (Q3), Maximum
  2. Draw the Box: The box spans from Q1 to Q3 and contains the middle 50% of data
  3. Whiskers: Draw lines from the box out to the minimum and maximum
3Mathematical Word Bank
  • Display Data with Box Plots (Representar datos con diagramas de caja) — Show a data set's five-number summary in a box-and-whisker display.
  • Box Plot (Diagrama de caja) — A graph that shows how data is spread using five key numbers.
  • Median (Mediana) — The middle number when you put them in order.
  • Quartile (Cuartil) — Numbers that split the data into four equal parts.
  • Interquartile Range (Rango intercuartílico) — The spread of the middle half of the data (Q3 − Q1).
  • Data distribution (Distribución de datos) — How the data looks: where it sits and how spread out it is.
4Watch out
  • A common mistake in Display Data: Box Plots is treating a quartile as just one data point instead of the median of a half — for the lower half 4, 8, 10, 14, some students pick 10 (the last value) as Q1 instead of finding the median of that half: Q1 = (8 + 10) ÷ 2 = 9. A second common slip is finding IQR by adding the quartiles instead of subtracting, writing IQR = Q3 + Q1 (like 30 + 18 = 48) instead of IQR = Q3 − Q1 (30 − 18 = 12) — always order the data first, then subtract Q1 from Q3 to find the spread of the middle 50%.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    On a box plot, what does the line inside the box represent?

    1. AThe median
    2. BThe mean
    3. CThe mode
    4. DThe range
    ✏️ Workspace & Solution Steps
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 2 GUIDED FILL
    012345678910

    Build a five-number summary for 4, 6, 7, 7, 10.

    1. 1Minimum and maximum: ___.
    2. 2Median: ___.
    3. 3Write min, Q1, median, Q3, max: ___.
    Final answer:
  2. 3 GUIDED FILL
    012345678910

    Build a five-number summary for 4, 5, 8, 8, 11.

    1. 1Minimum and maximum: ___.
    2. 2Median: ___.
    3. 3Write min, Q1, median, Q3, max: ___.
    Final answer:
  3. 4 MULTIPLE CHOICE

    A box plot for the Rockets shows Min = 8, Q1 = 15, Median = 22, Q3 = 30, Max = 38. The middle 50% of their scores falls between which two values?

    1. ABetween 15 and 30
    2. BBetween 8 and 38
    3. CBetween 8 and 22
    4. DBetween 22 and 38
    ✏️ Workspace & Solution Steps
  4. 5 MULTIPLE CHOICE

    A box plot shows: Min = 10, Q1 = 15, Median = 20, Q3 = 28, Max = 35. What is the interquartile range (IQR)?

    1. A13
    2. B25
    3. C10
    4. D20
    Put the data in order
    Work
  5. 6 MULTIPLE CHOICE

    What percentage of data falls between Q1 and Q3 on a box plot?

    1. A50%
    2. B25%
    3. C75%
    4. D100%
    Put the data in order
    Work
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 7 OPEN RESPONSE

    Two basketball teams played 9 games each. Team A: 40, 42, 44, 46, 48, 50, 52, 54, 56. Team B: 30, 35, 40, 45, 48, 50, 55, 60, 65. Find the five-number summary and IQR for each team. Which team is more consistent? Which has a wider spread in the middle 50%?

    ✏️ Mathematical Justification & Response
📐 CER MATHEMATICAL PROOF MATRIX (CER 2.0) SMP.3 / Proof & Justification

Writing Task: Justify why your mathematical solution is accurate and complete.

C Claim
State your direct mathematical answer/claim with units.
E Evidence
Cite exact numbers, calculations, dimensions, or graph data.
R Reasoning
Explain the mathematical theorem, property, or definition connecting evidence to claim.
Student Mastery Self-Assessment:
1 · Need More Support
2 · Getting Closer
3 · Got It / Solid
4 · Master / Can Teach It