Testinar Grade 6 math

Data Displays Extended

Students will build Grade 6 mastery of data displays extended using models, equations, and test-style reasoning.

CH05-11 Statistics and Probability
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. Which data display is BEST for showing how a single numerical variable is distributed across many values?

    1. Bar graph
    2. Histogram
    3. Pictograph
    4. Circle graph

  2. A science class recorded the heights of 50 plants in cm: 8, 12, 15, 18, 20, 21, 22, 23, 25, 26, 28, 30, 31, 33, 35, 38, 40, 42, 44, 46, 48, 50, 52, 54, 55, 57, 59, 61, 62, 64, 65, 67, 68, 70, 72, 74, 75, 77, 78, 80, 82, 84, 85, 87, 88, 90, 92, 94, 95, 98.
    Which display would be BEST for showing the spread and frequency of plant heights?

    1. Bar graph showing each height
    2. Pictograph with plant symbols
    3. Circle graph dividing by plant type
    4. Histogram with intervals of 10 cm

  3. Maria surveyed her class about favorite sports: soccer, basketball, baseball, and tennis. The results were: soccer 12, basketball 8, baseball 7, tennis 3.
    What is the PRIMARY purpose of using a bar graph to display this data?

    1. To compare counts across different categories
    2. To show how the data changes over time
    3. To display parts of a whole
    4. To reveal the median and quartiles

  4. This line graph shows how outdoor temperature changed from 6 AM to 3 PM. Which statement is TRUE?

    Data Displays Extended visual for G6-C05-T11-Q004
    1. Temperature peaked around noon (5 hours after start)
    2. Temperature decreased continuously all day
    3. Temperature was highest at 6 AM
    4. Temperature was constant throughout the day

  5. A dot plot shows the number of goals scored by soccer players in one season: How many players scored 2 or 3 goals?

    Data Displays Extended visual for G6-C05-T11-Q005
    1. 4
    2. 3
    3. 6
    4. 7

  6. Which characteristic is MOST important when deciding to use a dot plot instead of a histogram?

    1. You need to show the median only
    2. The dataset is small and you want to see each value
    3. The dataset is large (over 100 points)
    4. The data represents categories, not numbers

  7. The bar graph shows how a student spent 20 hours studying different subjects, by percent of total time. How many hours were spent on Science?

    Data Displays Extended visual for G6-C05-T11-Q007
    1. 6 hours
    2. 4 hours
    3. 5 hours
    4. 8 hours

  8. A double-bar graph compares the number of books read by boys and girls over 3 months. In January, boys read 24 books and girls read 18. In February, boys read 30 and girls read 28. In March, boys read 26 and girls read 32.
    In which month did girls read more books than boys?

    1. January
    2. None
    3. February
    4. March
Teacher and parent reference

Answer key and explanations

  1. B. Histogram

    A histogram groups continuous numerical data into intervals and shows frequency, making it ideal for displaying distribution. Bar graphs show categorical counts; pictographs use symbols; circle graphs show parts of a whole.

  2. D. Histogram with intervals of 10 cm

    With 50 continuous numerical values, a histogram groups them into intervals (e.g., 0–10, 11–20, etc.) to show the distribution pattern. A bar graph for each individual height would be too crowded; circle and pictographs don't display numerical distributions.

  3. A. To compare counts across different categories

    Bar graphs excel at comparing values across categories (sports in this case). Line graphs show trends over time; circle graphs show parts of a whole; box plots display quartiles.

  4. A. Temperature peaked around noon (5 hours after start)

    The graph shows the line reaching its highest point at the 5-hour mark, which corresponds to noon. The other statements contradict the visual data.

  5. D. 7

    The dot plot shows 4 dots above 2 goals and 3 dots above 3 goals. Adding: 4 + 3 = 7 players.

  6. B. The dataset is small and you want to see each value

    Dot plots work best for small datasets where each individual value matters. Histograms are better for large datasets. Dot plots require numerical data, not categories.

  7. A. 6 hours

    Science takes up 30% of the bar (1.2 out of 4 units), which is 0.3 \(\times\) 20 = 6 hours.

  8. D. March

    In March, girls read 32 books and boys read 26 books. Since 32 > 26, girls read more in March only.

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