Which three of the following four techniques could easily be used to display the same data?

Question

Options

• AI, II, and III only
• BI, II, and IV only
• CI, III, and IV only
• DII,III, and IV only
• IStem and leaf plots

• B
  81% (22)
• C
  4% (1)
• D
  11% (3)
• I
  4% (1)

Explanation

The question as provided appears to be incomplete - only technique I (Stem and leaf plots) is defined, while techniques II, III, and IV are missing from the text. Without knowing what II, III, and IV represent, a precise explanation isn't possible.

That said, here's the general reasoning pattern for this type of question:

Option B is correct (I, II, and IV) because three of the four listed techniques share the ability to represent the same underlying data distribution (typically quantitative data), making them interchangeable display options. Common groupings in statistics courses pair stem-and-leaf plots with box plots and histograms, as all three can show spread, center, and shape of numerical data.

Option A, C, and D are wrong because they each include technique III, which is the "odd one out" - likely a technique suited for a different type of data (e.g., categorical rather than quantitative), making it incompatible with the other three.

Memory tip: Ask yourself, "Does this technique require the same type of data as the others?" If one technique works only with categorical data while the rest need quantitative data (or vice versa), it cannot display the same data.

To give you a fully accurate explanation, could you share the complete list of all four techniques (I through IV)? The question is missing II, III, and IV.

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