A-A+
If the sum of five consecutive odd integers is
问题详情
If the sum of five consecutive odd integers is 5, which of the following could be true？ Ⅰ. The average (arithmetic mean) of the list is equal to 5. Ⅱ. The median of the list is equal to 5. Ⅲ. The range of the list is equal to 5.
A．None
B．Ⅰ only
C．Ⅱ only
D．Ⅰ and Ⅱ
E．Ⅰ and Ⅲ请帮忙给出正确答案和分析，谢谢！
参考答案
正确答案：A
解析：Let'sstartbyfindingalistofconsecutiveoddintegersthataddupto5.-3,-1,1,3,and5isonesuchlist.Infact,canyouthinkofanother?Thereisn'tone,sonowwejusthavetoseewhichoftheRomannumeralsistrueinthiscase.Ⅰisn'ttrue--themeanis1.Ⅱisalsountrue--themedianisalso1.Andtherangeis8,sononeoftheRomannumeralsarepossible,andAisouranswer.
