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The boxplot above summarizes a list of 240 numbers. Which of the following statements must be true? Indicate all such statements
The boxplot above summarizes a list of 240 numbers. Which of the following statements must be true? Indicate all such statements
admin
2020-05-11
107
问题
The boxplot above summarizes a list of 240 numbers. Which of the following statements must be true? Indicate all such statements
选项
A、The list contains the number 60.
B、The range of the numbers in the list is less than 4 times the interquartile range of the numbers.
C、There are more numbers in the list that are less than 40 than there are numbers that are greater than 70.
答案
B
解析
箱线图的五条线,分别为最小值、三个四分位数、最大值。
选项A: 本组数据有240个,为偶数个,则中位数为60不一定数据中含有60,错误。
选项B: 极差为60,四分位距为70-40=30,60<3×40,正确。
选项C:小于40和大于70的数都为60个,错误。
故答案为B。
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