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.
Median
IQR
1st Quartile
Mode
Range
Number of data points
Same in Both Data Sets
Different in Each Data Set
Cannot Tell If the Value Is the Same or Different
To effectively compare the two data sets represented by the box plots, you would typically look at the key features such as the median, IQR (Interquartile Range), 1st quartile, mode, range, and the number of data points.
1. Median: Different in Each Data Set – The median is represented by the line inside each box, and they appear to be at different positions in the two box plots.
2. IQR: Different in Each Data Set – The IQR is calculated as the distance between the 1st and 3rd quartiles, and the lengths of the boxes in your box plots indicate that they are not the same.
3. 1st Quartile: Different in Each Data Set – The location of the left edge of the boxes shows that the 1st quartile is different for the two datasets.
4. Mode: Cannot Tell If the Value Is the Same or Different – Box plots do not provide direct information about the mode as they summarize the data without showing frequency.
5. Range: Different in Each Data Set – The range is determined by the minimum and maximum values represented by the whiskers and they appear to be different lengths.
6. Number of Data Points: Cannot Tell If the Value Is the Same or Different – Box plots do not give exact counts of data points, only summary statistics.
If you check the box plots, you’ll see this reasoning is supported visually