After 5 referees rate a gymnast, if the highest score and the lowest score are removed, the average score is 9.66. If only one highest score is removed, the average score is 9.46; if only one lowest score is removed, the average score is 9.71. What is the highest score this athlete has scored?
5位裁判员给一名体操运动员评分后，如果去掉一个最高分和一个最低分，平均得分是9.66分．如果只去掉一个最高分，平均得分为9.46分，如果只去掉一个最低分，平均得分为9.71分．这名运动员所得的最高分是多少分？
<gadget id="calculator">4 * 9.71</gadget>
<output>38.84</output>

<gadget id="calculator">3 * 9.66</gadget>
<output>28.98</output>

<gadget id="calculator">38.84 - 28.98</gadget>
<output>9.86</output>

<result>9.86</result>