Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.5

Lesson 2.2Describing Histogram Shape

Apply Day · Set BSecond form · new problems, same idea

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

Learning target I can make and read a histogram to display data in intervals.

Remember2.2 · Part II

Histograms & Frequency Distributions

  1. Set equal intervals along the horizontal axis with no gaps
  2. Count the frequency (how many data values fall into each interval)
  3. Draw adjacent bars with heights equal to frequency

Words: Histogram (Histograma)Frequency (Frecuencia)Interval (Intervalo)Distribution (Distribución)Variability (Variabilidad)

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

    In a histogram, what does the height of each bar represent?

    1. AThe frequency (count) of data in that interval
    2. BThe average of the data in that interval
    3. CThe range of the interval
    4. DThe median of the data
    Show your work
Part 2Apply itreal-world problems
  1. 2Complete each step, then write the final answer.

    Data: 2, 5, 13, 16, 18, 21. Use intervals of 0–9, 10–19 and 20–29. What is the frequency of 10–19?

    Show your work
    Final answer:
  2. 3Complete each step, then write the final answer.

    Ten players scored these points per game: 4, 8, 12, 15, 17, 19, 22, 26, 31, 34. Use intervals of 0–9, 10–19, 20–29 and 30–39. How tall is the 10–19 bar?

    Show your work
    Final answer:
  3. 4Complete each step, then write the final answer.

    A histogram shows 30 players' points per game. 0–9 has 6 players, 10–19 has 11, 20–29 is missing and 30–39 has 4. What is the frequency of 20–29?

    Show your work
    Final answer:
  4. 5Complete each step, then write the final answer.
    0246810120204060Age (years)Number of people

    A histogram shows the ages of people at a pool. 0–19 has 12 people, 20–39 has 9 people and 40–59 has 4 people. How many people are at the pool?

    Show your work
    Final answer:
  5. 6Complete each step, then write the final answer.
    03691215020406080Weight (pounds)Number of dogs

    A histogram shows the weights of 40 dogs in pounds. 0–19 has 14 dogs, 20–39 has 15, 40–59 has 8 and 60–79 has 3. How many dogs weigh 40 pounds or more?

    Show your work
    Final answer:
  6. 7Complete each step, then write the final answer.

    Data: 2, 4, 6, 11, 12, 13, 14, 17. With intervals of 10, the 10–19 bar is 5 tall. Now use intervals of 5. How tall is the 10–14 bar?

    Show your work
    Final answer:
  7. 8Circle the letter of the best answer. Show how you know.

    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. A12
    2. B15
    3. C20
    4. D28
    per 1
  8. 9Circle the letter of the best answer. Show how you know.

    How is a histogram different from a regular bar graph?

    1. AHistogram bars touch (no gaps) because the intervals are continuous ranges
    2. BThere is no difference
    3. CHistograms use colors and bar graphs don't
    4. DBar graphs show numbers and histograms show words
    Show your work
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