Question

can you help me solve this problemin the olympic games when events require a subjective judgment of an athlete's performance,the highest and lowest of the judges' score may be dropped. consider gymnast whose performance is judged by seven judges and the highest and the lowest of the seven scores are dropped. if gymnast A's score in this event are 9.4,9.7,9.5,9.5,9.4,9.6,and 9.3., find this gymnast's mean score.A.6.7714B none of themC 9.54D 9.48E 9.4857

Answer 1

Given:

Scores of 9.4,9.7,9.5,9.5,9.4,9.6, and 9.3

n = 7 ( scores are from 7 judges )

Recall the formula for getting the mean of the data set that is

$\begin{gathered} \overline{x}=\frac{\sum x_i}{n} \\ \text{where} \\ x_i\text{ are the data, or in this case the scores} \\ n\text{ is the number of data} \end{gathered}$

Substitute and we have

$\begin{gathered} \overline{x}=\frac{\sum x_i}{n} \\ \overline{x}=\frac{9.4+9.7+9.5+9.5+9.4+9.6+9.3}{7} \\ \overline{x}=\frac{66.4}{7} \\ \overline{x}=9.4857142857 \end{gathered}$

Rounded off to four decimal place, the gymnast's mean score is 9.4857.