Which of the following diagrams would be useful in depicting the median value…
2023
Which of the following diagrams would be useful in depicting the median value in the data?
Answer: B. Box plot — ConceptA statistical diagram should be chosen according to the feature it encodes. Measures of position become visible when a graphic includes landmarks of a…
- A.
Bar chart
- B.
Box plot
- C.
Pie chart
- D.
Scatter plot
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Correct answer: B
Concept
A statistical diagram should be chosen according to the feature it encodes. Measures of position become visible when a graphic includes landmarks of a numerical distribution, rather than only category size, composition, or association between paired values.
Application
A box plot represents the five-number summary: minimum, first quartile, median, third quartile, and maximum. The line inside the box marks the median, so this diagram directly depicts the requested value.
Contrast
A bar chart compares magnitudes across discrete categories; its bars do not encode the ordered landmarks of a numerical distribution.
A pie chart shows how a whole is divided into proportional categories; it does not encode distributional quartiles.
A scatter plot shows paired observations to study the direction or strength of association between two variables.
Cross-check
In a box plot, the box spans the first to the third quartile and its internal line divides the ordered data into two halves. That is exactly the defining role of the median.
Result
Therefore, the useful diagram is the box plot.