2115 Univariate Data - Stem & Leaf Plots

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| By Anthony Nunan
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Anthony Nunan
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2115 Univariate Data - Stem & Leaf Plots - Quiz

Stem & Leaf, Split Stem & Leaf Plots and Back-to-Back Stem & Leaf plots


Questions and Answers
  • 1. 

    The image above is :

    • A.

      A stem & leaf plot

    • B.

      A split stem & leaf plot

    • C.

      A back-to-back stem & leaf plot

    • D.

      A back-to-back split stem & leaf plot

    • E.

      I don't know

    Correct Answer
    C. A back-to-back stem & leaf plot
    Explanation
    The image above is a back-to-back stem & leaf plot. This type of plot is used to compare two sets of data. It consists of two sets of stems, one on the left and one on the right, with leaves representing the data values. The plot allows for easy comparison between the two sets of data, as they are displayed side by side.

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  • 2. 

    Back-to-back stem & leaf plots allow you to :

    • A.

      Map your data on the left, and sort it on the right

    • B.

      See how skewed your data set is

    • C.

      Compare the distribution of two data sets

    • D.

      Split your data set into two similar sizes

    • E.

      Compare the upper values with the lower values

    • F.

      I don't know

    Correct Answer
    C. Compare the distribution of two data sets
    Explanation
    Back-to-back stem & leaf plots allow you to compare the distribution of two data sets. This means that you can visually analyze and compare the shape, center, and spread of the data from two different sets. By having both plots side by side, it becomes easier to identify any similarities or differences in the distribution patterns between the two sets. This can be useful in various statistical analyses and decision-making processes.

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  • 3. 

    Back-to-back stem & leaf plots have :

    • A.

      Larger values

    • B.

      A common stem

    • C.

      Smaller values

    • D.

      A normal distribution

    • E.

      A neutral distribution

    • F.

      I don't know

    Correct Answer
    B. A common stem
    Explanation
    Back-to-back stem & leaf plots have a common stem. This means that the stems of the two plots are the same, but the leaves represent different sets of data. It allows for easy comparison between the two sets of data, as the stems provide a common reference point.

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  • 4. 

    The image above is :

    • A.

      A stem & leaf plot

    • B.

      A split stem & leaf plot

    • C.

      A back-to-back stem & leaf plot

    • D.

      A back-to-back split stem & leaf plot

    • E.

      I don't know

    Correct Answer
    A. A stem & leaf plot
    Explanation
    The given image represents a stem & leaf plot. This type of plot is used to organize and display numerical data. The stem represents the leading digits of the data values, while the leaf represents the trailing digits. It allows for easy visualization of the distribution and range of the data.

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  • 5. 

    The image above is :

    • A.

      A stem & leaf plot

    • B.

      A split stem & leaf plot

    • C.

      A back-to-back stem & leaf plot

    • D.

      A back-to-back split stem & leaf plot

    • E.

      I don't know

    Correct Answer
    B. A split stem & leaf plot
    Explanation
    The given image is a split stem & leaf plot. In a split stem & leaf plot, the stems are split into two parts, allowing for a larger range of values to be represented. The left side of the split represents the lower values, while the right side represents the higher values. This type of plot is useful when there is a wide range of data and we want to display it in a clear and organized manner.

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  • 6. 

    The image above is :

    • A.

      A stem & leaf plot

    • B.

      A split stem & leaf plot

    • C.

      A back-to-back stem & leaf plot

    • D.

      A back-to-back split stem & leaf plot

    • E.

      I don't know

    Correct Answer
    B. A split stem & leaf plot
    Explanation
    A split stem & leaf plot is a graphical representation of data where the stems are split into two parts, with the leaves on each side representing the actual data values. This type of plot is useful for comparing two sets of data side by side. In the given image, the stems are split into two parts, and the leaves on each side represent the data values, indicating that it is a split stem & leaf plot.

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  • 7. 

    The image above is :

    • A.

      A stem & leaf plot

    • B.

      A split stem & leaf plot

    • C.

      A back-to-back stem & leaf plot

    • D.

      A back-to-back split stem & leaf plot

    • E.

      I don't know

    Correct Answer
    A. A stem & leaf plot
    Explanation
    The given image represents a stem & leaf plot. This type of plot is used to organize and display numerical data. It involves separating each data point into a stem (the leftmost digit or digits) and a leaf (the rightmost digit). The stems are listed vertically, and the corresponding leaves are placed next to their respective stems. This plot allows for easy visualization of the distribution and range of the data.

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  • 8. 

    The image above is :

    • A.

      A stem & leaf plot

    • B.

      A split stem & leaf plot

    • C.

      A back-to-back stem & leaf plot

    • D.

      A back-to-back split stem & leaf plot

    • E.

      I don't know

    Correct Answer
    B. A split stem & leaf plot
    Explanation
    The image above is a split stem & leaf plot. This type of plot is used to display numerical data in a visual format. It consists of two columns, with the stems on the left side and the leaves on the right side. The split stem & leaf plot is created by splitting the stems into two parts, allowing for a larger range of values to be displayed. This plot helps in quickly identifying the distribution and range of the data.

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  • 9. 

    The image above is :

    • A.

      A stem & leaf plot

    • B.

      A split stem & leaf plot

    • C.

      A back-to-back stem & leaf plot

    • D.

      A back-to-back split stem & leaf plot

    • E.

      I don't know

    Correct Answer
    B. A split stem & leaf plot
    Explanation
    A split stem & leaf plot is a graphical representation of data that shows the distribution of values. It is called a "split" stem & leaf plot because the stems are split into two parts, with the left side representing the lower values and the right side representing the higher values. In this plot, the stems are on the left side and the leaves are on the right side, with each leaf representing a value. This type of plot allows for easy comparison between two sets of data, making it useful for analyzing and comparing distributions.

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  • 10. 

    The image above is stem and leaf plot. How many 'splits' does it have?

    • A.

      None, its just an ordinary stem and leaf plot

    • B.

      Two splits

    • C.

      Three splits

    • D.

      Five splits

    • E.

      I don't know

    Correct Answer
    D. Five splits
    Explanation
    The stem and leaf plot in the image appears to have five distinct splits. Each split represents a different range of values, allowing for easier visualization and analysis of the data.

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  • 11. 

    When do we split a stem & leaf plot?

    • A.

      When there are too many leaves to see a shape

    • B.

      When the shape is negatively skewed

    • C.

      When we suspect there are outliers

    • D.

      When the shape is positively skewed

    • E.

      When here are too few numbers on a branch

    • F.

      I don't know

    Correct Answer
    A. When there are too many leaves to see a shape
    Explanation
    A stem and leaf plot is a visual representation of a data set where the stems represent the first digits of the data values and the leaves represent the remaining digits. When there are too many leaves, it becomes difficult to discern any meaningful shape or pattern in the plot. In such cases, it is necessary to split the stem and leaf plot into multiple sections to make it more manageable and easier to interpret. By doing so, we can avoid overcrowding the plot and ensure that the data is presented in a clear and organized manner.

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  • 12. 

    How many values do you need in a data set for a stem and leaf plot to be useful?

    • A.

      Less than 12

    • B.

      More than 80

    • C.

      More than 200

    • D.

      Between 10 & 15

    • E.

      More than 5 but less than 50

    • F.

      I don't know

    Correct Answer
    E. More than 5 but less than 50
    Explanation
    A stem and leaf plot is a data visualization tool that helps organize and display numerical data. It is most useful when there are enough values in the data set to provide meaningful information, but not too many to make the plot overcrowded and difficult to interpret. Having more than 5 values ensures that there is enough data to analyze patterns and trends, while less than 50 values prevent the plot from becoming too cluttered and overwhelming.

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  • 13. 

    Back-to-back stem & leaf plots allow you to :

    • A.

      Map your data on the left, and sort it on the right

    • B.

      See how skewed your data set is

    • C.

      Compare two data sets

    • D.

      Split your data set into two similar sizes

    • E.

      Compare the upper values with the lower values

    • F.

      I don't know

    Correct Answer
    C. Compare two data sets
    Explanation
    Back-to-back stem & leaf plots are used to compare two data sets. By placing the stem & leaf plots of the two data sets side by side, it becomes easier to identify any differences or similarities between the two sets. This method allows for a visual comparison of the distribution, shape, and range of the data sets, helping to analyze and draw conclusions about the data.

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  • 14. 

    Using a split stem & leaf plot can help :

    • A.

      Compress the data

    • B.

      Simplify the data

    • C.

      Reveal features that were not easily detected

    • D.

      Hide features that are easily detected

    • E.

      Reduce the number of errors

    • F.

      I don't know

    Correct Answer
    C. Reveal features that were not easily detected
    Explanation
    Using a split stem & leaf plot can reveal features that were not easily detected. This type of plot allows for a more detailed analysis of the data, as it separates the stem (the highest place value digits) from the leaf (the lowest place value digit). By splitting the stem, it becomes easier to identify patterns, outliers, or other characteristics that may not have been apparent in a regular stem & leaf plot. This can provide valuable insights and help in understanding the data better.

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  • 15. 

    In a stem & leaf plot, outliers can be hidden if :

    • A.

      There are too many intervals in a stem

    • B.

      We multiply the interquartile range by 1.5

    • C.

      They are left out of the range

    • D.

      There are too few intervals on the stem

    • E.

      The interquartile range is large

    • F.

      I don't know

    Correct Answer
    D. There are too few intervals on the stem
    Explanation
    If there are too few intervals on the stem, it means that the stem & leaf plot does not have enough divisions or categories to represent the data accurately. This can result in outliers being hidden because there is not enough granularity in the plot to show their presence.

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  • 16. 

    In a stem & leaf plot, we can detect the general shape of the distribution by :

    • A.

      Counting the total number of leaves and dividing by the stem

    • B.

      Counting the number of stems and dividing the leaves

    • C.

      Turning the stem counter-clockwise so it is horizontal

    • D.

      Mirroring the stem in a clockwise direction

    • E.

      Finding the range and the IQR

    Correct Answer
    C. Turning the stem counter-clockwise so it is horizontal
    Explanation
    In a stem and leaf plot, the stems represent the tens or hundreds place of the data values, while the leaves represent the ones place. By turning the stem counter-clockwise so it is horizontal, we can easily visualize the distribution of the data. The stems will be aligned in a row, and the leaves will be displayed beside each stem, indicating the frequency or count of each value. This orientation allows us to observe patterns, such as clusters or gaps, and get a sense of the overall shape of the distribution.

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  • 17. 

    I collect data for 40 adults relating to the number of hours they watch television per week. I create a stem & leaf plot and the data which ends up with three intervals on the stem.What should I do?

    • A.

      Create a histogram instead

    • B.

      Use a dot plot instead

    • C.

      Split the stem into intervals of two

    • D.

      Split the stem into intervals of 10

    • E.

      Create a back-to-back stem & leaf plot

    • F.

      Three intervals is enough for 40 pieces of data, leave it how it is.

    Correct Answer
    C. Split the stem into intervals of two
    Explanation
    stem & leaf plots should have between 5 and 10 stems to be useful.

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  • 18. 

    A stem & leaf plot is ideal for :

    • A.

      Ordering data

    • B.

      Finding the median

    • C.

      Finding the modal class

    • D.

      Finding the max & min

    • E.

      Finding the mean

    • F.

      Finding the standard deviation

    • G.

      Counting z-scores

    Correct Answer
    A. Ordering data
    Explanation
    A stem & leaf plot is ideal for ordering data because it organizes the data in a way that allows for easy identification of the highest and lowest values. The stem represents the tens or hundreds place of the data, while the leaves represent the ones place. This arrangement makes it simple to compare and arrange the data in ascending or descending order.

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  • 19. 

    A stem & leaf plot is ideal for :

    • A.

      Ordering data

    • B.

      Separating categorical data

    • C.

      Finding the mean

    • D.

      Finding the standard deviation

    • E.

      Counting z-scores

    Correct Answer
    A. Ordering data
    Explanation
    A stem & leaf plot is ideal for ordering data because it organizes the data in a clear and systematic way. The stem represents the tens or hundreds place of the data values, while the leaves represent the ones place. This allows for easy comparison and identification of the smallest and largest values in the data set. By visually arranging the data, the stem & leaf plot helps to identify patterns, outliers, and trends in the data, making it an effective tool for ordering the data.

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  • 20.