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

Question

The back-to-back stem-and-leaf diagram shows obstacle-course completion times, in seconds, for Team A and Team B. Find the modal time across both teams. Find the median time for Team A. One new time is added to Team B. Its mean time becomes 160 s. Find the new time. Explain why the median may now be more useful than the mean for describing a typical Team B time. $\text{Team A}$ $\text{Team B}$ $\text{}$ $\text{13}$ $\text{8}$ $\text{7 5 2}$ $\text{14}$ $\text{1 9}$ $\text{8 5 3 0}$ $\text{15}$ $\text{2}$ $\text{6 6 4 2}$ $\text{16}$ $\text{0 3 3 3 7}$ $\text{1}$ $\text{17}$ $\text{0}$ $\text{Key: }4\mid14\text{ means }144\text{ s}$ $\text{Key: }14\mid1\text{ means }141\text{ s}$

Accepted Answer

(a) $163$ s. (b) $156.5$ s. (c) $194$ s. (d) The outlier of 194 s raises the mean, making it less representative of a typical runner.

Comparing race times

Comparing race times

Solution:

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