Practice Maths

Stem-and-Leaf Plots and Dot Plots — Solutions

Click any answer to watch the solution video.

  1. Reading a stem-and-leaf plot

    1. All values in order:
    2. Students in the 60s:
    3. Highest score:
    4. Lowest score:
    5. Range:
    6. Mode:
    7. Median:
    8. Fraction scored 70 or above:

  2. Reading a dot plot

    1. Students watching 2 hours:
    2. Mode:
    3. Students watching 3 or more hours:
    4. Range:
    5. Median:
    6. Percentage watching 0 or 1 hour:
    7. Shape of distribution:

  3. Creating stem-and-leaf plots

    1. Heights (142, 148, 149, 152, 155, 157, 160, 163, 165, 168, 171, 174):
    2. Puzzle times (7, 8, 9, 11, 14, 14, 14, 16, 17, 19, 20, 22, 22, 25, 28):
    3. Temperatures (24, 25, 26, 27, 27, 28, 28, 29, 29, 30, 31, 31, 33, 34):

  4. Back-to-back stem-and-leaf plot

    1. Eagles in order:
    2. Sharks in order:
    3. Eagles median (12 values):
    4. Sharks median (14 values):
    5. Range for each team:
    6. Mode for each team:
    7. Higher median:
    8. Comparing ranges:

  5. Create and compare back-to-back plot

    1. Back-to-back plot:
    2. Median and range:
    3. Which class was faster?
    4. More consistent times:
    5. Outliers:

  6. Extended problems

    1. Construct a possible plot (median 38, 9 values, mode 34, range 27, only 50s value is 54):
    2. Athletes’ race times:
      1. Back-to-back plot:
      2. Median and range:
      3. Analysis:
    3. Gaps, clusters, and outliers:

  7. Statistics from a stem-and-leaf plot (shot put)

    1. Values in order:
    2. Mean:
    3. Median:
    4. Mode:
    5. Range:
    6. Fraction ≥ 7.0 m:
    7. Distribution shape:

  8. Bar chart table (books read)

    1. Total students:
    2. Mode:
    3. Mean:
    4. Median:
    5. % reading 3+:
    6. Shape:

  9. Sprint times data table

    1. Stem-and-leaf:
    2. Median, mode, range:
    3. Outliers:
    4. Remove 14.1 and 14.5:

  10. Dot plot quiz scores

    2. Statistics:
    3. 8 or above:
    4. New student scored 2: