Final answer:
C) Mode
The summary measure that cannot be easily approximated from a box plot is the mode. A box plot can help identify the median and interquartile range (IQR) but does not indicate how often specific values occur, which is necessary to determine the mode.
Step-by-step explanation:
The summary measure that cannot be easily approximated from a box plot is the mode. From a box plot, we can normally identify the following:
- Median: Represented by the central line within the box.
- Interquartile Range (IQR): Calculated by subtracting the first quartile (lower boundary of the box) from the third quartile (upper boundary of the box).
- Mean: While not directly given, it can sometimes be estimated if the distribution is symmetric, though this is not as straightforward as median or IQR.
However, the mode, which is the most frequently occurring value in a dataset, is not represented on a box plot. Box plots give no information about how many times a particular value occurs, making it impossible to determine the mode directly from them.