Chapter 13.1, Problem 14PPS

To determine

To calculate: The lowest score Winona can receive from the 14^th judge and still win.

Answer to Problem 14PPS

Winona needs to receive at least 4.5 score from the 14^th judge to win.

Explanation of Solution

Given information:

Winona needs to average 5.8 points from 14 judges to win the competition. The mean score of 13 judges was 5.9.

Calculation:

Winona needs an average of 5.8 points from 14 judges to win.

Then, total points Winona needs from 14 judges to win $=5.8\times 14=81.2$

The mean score of 13 judges was 5.9

Then, total points Winona received from 13 judges $=5.9\times 13=76.7$

Therefore, lowest score Winona still need to receive from the 14^th judge to win

  $=$ (Total points Winona needs from 14 judges to win $-$ total points Winona received from 13 judges)

  $\begin{array}{l}=81.2-76.7\\ =4.5\end{array}$

Conclusion:

Winona needs to receive at least 4.5 score from the 14^th judge to win.