AMC 8 2011 Problem 4

AMC8 2011 年第 4 题

统计与数据图表★☆☆☆☆

Here is a list of the numbers of fish that Tyler caught in nine outings last summer:

2,0,1,3,0,3,3,1,2.

Which statement about the mean, median, and mode is true?

下面是 Tyler 去年夏天在 9 次出游中钓到的鱼的数量列表：2，0，1，3，0，3，3，1，2。关于平均值、中位数和众数的说法，下面哪个正确？ mean | 平均值

median | 中位数

mode | 众数

正确答案 · Correct Answer

解析 · Solution

Solution 1

First, put the numbers in increasing order. $0,0,1,1,2,2,3,3,3$ The mean is

\displaystyle \frac{0+0+1+1+2+2+3+3+3}{9} = \frac{15}{9}

, the median is 2, and the mode is $3$. Because

\displaystyle \frac{15}{9} < 2 < 3

, the answer is

\text{mean} < \text{median} < \text{mode}

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