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The runs scored in 15 innings are shown in a stem-and-leaf display, the stem being the tens digit — Stem 1: leaves 2, 5, 8. Stem 2: leaves 0, 3, 3, 7. Stem 3: leaves 1, 4, 4, 4, 9. Stem 4: leaves 2, 6, 8. Find the median score.

Competition practiceData & Probability
  • A34
  • B27
  • C29
  • D31

Step-by-Step Solution

A stem-and-leaf display already lists the data in order: 12, 15, 18, 20, 23, 23, 27, 31, 34, 34, 34, 39, 42, 46, 48. With 15 innings the median is the 8th score, which is 31. The value 34 is the MODE, because the leaf 4 appears three times on stem 3; 27 is the 7th score; and 29 comes from averaging the 7th and 8th as though the number of innings were even.
Answer: D) 31

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