Sec 2 E Math Mock Paper 2-Q04 - Back-to-back stem-and-leaf race times

Sec 2 E Math Mock Paper 2-Q04 - Back-to-back stem-and-leaf race times

Secondary 2
TGM Original Questions

The back-to-back stem-and-leaf diagram shows obstacle-course completion times, in seconds, for Team A and Team B.

  1. Find the modal time across both teams.
  2. Find the median Team A time.
  3. One new Team B time is added and its mean becomes 160 s.
    1. Find the new time.
    2. Explain why the mean may now be unsuitable.

Solution:

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Answer:(a) \(163\) s; (b) \(156.5\) s; (c)(i) \(194\) s; (ii) 194 s is an outlier that distorts the mean.

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