Back-to-Back Stem-and-Leaf Diagram and Performance Analysis
Back-to-Back Stem-and-Leaf Diagram and Performance Analysis
TGM Original
The timing, in seconds, to complete a \(100\) m freestyle laps of swimmers from two swimming schools are recorded in the table below.
School A | \(57.5\) | \(58.6\) | \(59.3\) | \(58.0\) | \(60.3\) | \(57.8\) | \(58.4\) |
\(59.3\) | \(58.3\) | \(59.8\) | \(60.5\) | \(56.9\) | \(60.9\) | \(58.8\) | |
School B | \(57.1\) | \(56.3\) | \(57.8\) | \(57.4\) | \(59.7\) | \(58.3\) | \(60.1\) |
\(58.7\) | \(56.0\) | \(56.0\) | \(59.4\) | \(57.0\) | \(56.7\) | \(59.7\) |
- Represent these two sets of data by a back-to-back stem-and-leaf diagram.
- Which school produces better swimmers? Explain your answer.
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Answer:(i) See the typed back-to-back stem-and-leaf diagram. (ii) School B, because its median completion time is lower.
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