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Compare two data sets using box plots.

The box plots shown represent two data sets. Use the box plots to compare the data sets.

Drag each value to show if it is the same for both data sets, different for each data set, or if there is not enough information to tell.

Number of data points
Range
1st Quartile
IQR
Median
Mode

Same in Both Data Sets
Different in Each Data Set
Cannot Tell If the Value Is the Same or Different




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1 Answer

  1. To compare two data sets using box plots, you can analyze the following values:

    1. Number of Data Points: Cannot Tell If the Value Is the Same or Different – Box plots do not provide the count of data points directly.

    2. Range: Different in Each Data Set – The range is determined by the minimum and maximum values, which can be visually compared.

    3. 1st Quartile (Q1): Different in Each Data Set – You can see the position of Q1 from the plots, which might differ.

    4. IQR (Interquartile Range): Different in Each Data Set – This is calculated as Q3 – Q1, so differences in Q1 or Q3 will result in different IQRs.

    5. Median: Different in Each Data Set – The median is shown by the line within the box and can be compared.

    6. Mode: Cannot Tell If the Value Is the Same or Different – Box plots do not provide information about the mode directly.

    In summary:

    – Number of Data Points: Cannot Tell

    – Range: Different

    – 1st Quartile: Different

    – IQR: Different

    – Median: Different

    – Mode: Cannot Tell

    Feel free to reach out if you need further explanations or have additional questions!

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