6.DS.4 Lesson 2-3-part2 Apply Day · Set B
MASTERY CHECK
☐ Exceeds☐ Meets Target☐ Needs Practice

2.3 · Part II

Second Practice Form · Independent Application and Spiral Review

Describe the Data Using the Median · Median

Interactive Workbench & Models →
Name: Date: Period: Learning Goal:
■ ADVANCED CONCEPT ANCHOR: 2.3 · Part II
1Measures of Center: Median
2The Structural Procedure
  1. Order all data values from least to greatest
  2. Odd count: The median is the exact center number
  3. Even count: The median is the mean of the two middle numbers
3Mathematical Word Bank
  • Describe the Data Using the Median (Describir los datos con la mediana) — Using the middle value of the ordered data to say what is typical for the whole set.
  • Median (Mediana) — The middle number when you put them in order.
  • Mode (Moda) — The number that shows up most often.
  • Outlier (Valor atípico) — A number that is much bigger or smaller than the rest.
  • Data distribution (Distribución de datos) — How the data looks: where it sits and how spread out it is.
  • Variability (Variabilidad) — How spread out the numbers are.
4Watch out
  • A common mistake in Mean, Median, and Mode is finding the median without ordering the data first — students pick the middle number straight from the list as given (for 9, 4, 7, 2, 6 they say the median is 7, the middle position in that original order) instead of sorting least to greatest (2, 4, 6, 7, 9) and finding the true middle value, 6. Before finalizing a median, always reorder the data smallest to largest, then count to the middle position — and if there is an even number of values, average the two middle numbers.
SECTION 1 CONCEPTUAL UNDERSTANDING & VISUAL MODELS [Visual Modeling]
  1. 1 MULTIPLE CHOICE

    (Lesson 2.2) In a histogram, what does the height of each bar represent?

    1. AThe average of the data in that interval
    2. BThe range of the interval
    3. CThe median of the data
    4. DThe frequency (count) of data in that interval
    ✏️ Workspace & Solution Steps
  2. 2 MULTIPLE CHOICE

    A team scored 4, 4, 7, and 9 goals in four matches. What is the MODE?

    1. A4
    2. B7
    3. C9
    4. D6
    Put the data in order
    Work
SECTION 2 REAL-WORLD CONTEXTS & PROBLEM SOLVING [Applications]
  1. 3 MULTIPLE CHOICE

    (Lesson 2.2) A histogram shows these frequencies: 0–4: 3 players, 5–9: 8 players, 10–14: 12 players, 15–19: 5 players. How many players are represented in total?

    1. A20
    2. B15
    3. C28
    4. D12
    per 1
  2. 4 MULTIPLE CHOICE

    Find the mean of: 10, 14, 8, 12, 16

    1. A12
    2. B14
    3. C10
    4. D60
    Put the data in order
    Work
  3. 5 MULTIPLE CHOICE

    Find the median of: 3, 7, 2, 9, 5

    1. A5
    2. B3
    3. C7
    4. D5.2
    Put the data in order
    Work
  4. 6 MULTIPLE CHOICE

    Find the mode of: 4, 7, 4, 9, 2, 4, 8

    1. A4
    2. B7
    3. C9
    4. D2
    Put the data in order
    Work
SECTION 3 MATHEMATICAL WRITING & ERROR ANALYSIS [Reasoning & Critique]
  1. 7 OPEN RESPONSE

    A basketball player scored 15, 18, 16, 42, and 14 points in 5 games. Find the mean and median. Which better represents the player's typical game? Explain how the outlier affects each measure.

    ✏️ 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