Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.4

Lesson 2.3Describe the Data Using the Median

Set B · Version ASecond form · supported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can find the median of a data set and use it to describe what is typical.

Why This Matters You're the stats analyst for the school basketball team. Coach needs a report on the team's scoring: in the last 7 games they scored 42, 38, 55, 41, 38, 44, and 40 points. Which average best represents the team's typical performance?

RememberDescribe the Data Using the Median

Measures of Center: Median. Formula: Median = Middle value in an ordered set Mean, median, and mode are three ways to find the center, or "typical" value, of a data set. The mean is the average, the median is the middle, and the mode is the most common value.

  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

Words: Median (Mediana)Mode (Moda)Outlier (Valor atípico)Data distribution (Distribución de datos)Variability (Variabilidad)

  1. 1Circle the letter of the best answer. Show how you know.

    A histogram bar for the interval 10–19 has a height of 6. How many data values fall in that interval?

    1. A6
    2. B10
    3. C16
    4. D19
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.

    A histogram uses the intervals 0–9, 10–19 and 20–29. What is the width of each interval?

    1. A3
    2. B9
    3. C10
    4. D29
    Show your work
  3. 3Circle the letter of the best answer. Show how you know.

    A histogram has bar heights 3, 7, 5 and 2. How many data values are in the whole set?

    1. A4
    2. B7
    3. C15
    4. D17
    Show your work
  4. 4Circle the letter of the best answer. Show how you know.

    How is a histogram different from a bar graph?

    1. AIts bars show number intervals and touch each other
    2. BIts bars show categories, like favorite colors
    3. CIt uses no numbers
    4. DIt shows only one category
    Show your work
  5. 5Circle the letter of the best answer. Show how you know.

    Your class took a math quiz. The scores were: 85, 92, 78, 88, 92, 95, 72, 88, 92, 84. The teacher says 'most students scored around 87.' A student disagrees and says 'the most common score was 92.' The teacher said 'most students scored around 87.' Which measure is that?

    1. AThe mode
    2. BThe mean (average)
    3. CThe median
    4. DThe range
    Show your work
  6. 6Circle the letter of the best answer. Show how you know.

    Your class took a math quiz. The scores were: 85, 92, 78, 88, 92, 95, 72, 88, 92, 84. The teacher says 'most students scored around 87.' A student disagrees and says 'the most common score was 92.' The student said 'the most common score was 92.' Which measure is that?

    1. AThe mean
    2. BThe median
    3. CThe mode
    4. DThe range
    Show your work

Explain your thinkingThe mean (43) is higher than the median (41). Why? Which better represents a typical game?

Sentence starter The mean is higher than the median because the high score of ___ pulls the mean ___. The ___ better represents a typical game because ___.

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.4

Lesson 2.3Describe the Data Using the Median

Set B · Version BSecond form · core practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can find the median of a data set and use it to describe what is typical.

Why This Matters You're the stats analyst for the school basketball team. Coach needs a report on the team's scoring: in the last 7 games they scored 42, 38, 55, 41, 38, 44, and 40 points. Which average best represents the team's typical performance?

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.

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

    1. A4
    2. B6
    3. C7
    4. D9
    Put the data in order
    Work
  2. 2Write the letter of the matching item on each line.

    Match each sports data set to the value of the measure named in CAPITALS.

    1. Game points 9, 3, 7, 5, 6 → MEAN
    2. Rebounds 8, 3, 11, 7, 1 → MEDIAN
    3. Jersey numbers 9, 2, 9, 6, 9, 3 → MODE
    4. Assists 14, 10, 18, 12, 16 → MEAN
    • A6
    • B7
    • C9
    • D14
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    Your class took a math quiz. The scores were: 85, 92, 78, 88, 92, 95, 72, 88, 92, 84. The teacher says 'most students scored around 87.' A student disagrees and says 'the most common score was 92.' What is the median of the 10 scores?

    1. A86.6
    2. B87
    3. C88
    4. D92
    Put the data in order
    Work
  2. 4Circle the letter of the best answer. Show how you know.

    A player scored 4, 8, 6, 10, and 2 points across five quarters. What is the MEAN number of points?

    1. A6
    2. B8
    3. C10
    4. D30
    Put the data in order
    Work
  3. 5Circle the letter of the best answer. Show how you know.

    A goalie made 3, 7, 9, 2, and 5 saves in five games. What is the MEDIAN number of saves?

    1. A2
    2. B5
    3. C7
    4. D9
    Put the data in order
    Work
  4. 6Circle the letter of the best answer. Show how you know.

    One game was a 55-point outlier. Which measure of center best shows a TYPICAL game?

    1. AThe mean, because it uses every score
    2. BThe mode, because it is always the typical value
    3. CThe range, because it shows the spread
    4. DThe median, because the outlier barely moves the middle value
    Show your work

Explain your thinkingThe mean (43) is higher than the median (41). Why? Which better represents a typical game?

3-Point Exit Checklist: ☐ 1. Units & Labels Verified ☐ 2. Mathematical Reasoning Stated ☐ 3. Calculations Double-Checked
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help