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均值・中位数与集中趋势挑战

a, 26, 29, b, 33, 49, c
For the given data set, the data values are listed in ascending order, where  a, b, and c are constants. For this data set, the mean is 36, the median is 29, and the range is 72. What is the value of c ?
原库参考解析
2025年11月国际B卷 · 原库模块 2 · Q11作答 ↗
均值・中位数与集中趋势挑战

Two participants solved a puzzle cube during timed competitions. The lists give the times, to the nearest second, that participant A and participant B took to solve the cube at various competitions.
Participant A: 23, 23, 25, 27
Participant B: 23, 23, 25, 27, 38
Which statement correctly compares the mean solve times, to the nearest second, of participant A and participant B at these competitions?

原库参考解析
2025年12月国际B卷 · 原库模块 2 · Q1作答 ↗
均值・中位数与集中趋势挑战

Two participants solved a puzzle cube during timed competitions. The lists give the times, to the nearest second, that participant A and participant B took to solve the cube at various competitions.
Participant A: 23, 23, 24, 27
Participant B: 23, 23, 24, 27, 39
Which statement correctly compares the mean solve times, to the nearest second, of participant A and participant B at these competitions?

原库参考解析
2025年12月美国A卷 · 原库模块 2 · Q22作答 ↗
均值・中位数与集中趋势挑战

The maximum temperature on April 1, in degrees Fahrenheit (°F), was recorded each year at a certain weather station for 11 years. The histogram summarizes the recorded data set.
题目图表
The temperature of 77.9°F is removed from this data set to create a new data set of 10 temperatures. Which of the following statements must be true?

I. The mean of the new data set is less than the mean of the original data set.
II. The median of the new data set is less than the median of the original data set.

原库参考解析
2025年12月美国A卷 · 原库模块 2 · Q8作答 ↗
均值・中位数与集中趋势进阶

Rattlesnakes do not lay eggs but give birth to live young. For the last three years, a rattlesnake at a zoo gave birth to one litter per year. The table shows the number of rattlesnakes in each of these three litters.
题目图表
What is the mean number of rattlesnakes per litter for these three litters?
原库参考解析
2025年12月美国B卷 · 原库模块 1 · Q10作答 ↗
均值・中位数与集中趋势挑战

Data set X: 13, 16, 19, 21, 24, 25, 25, 26, 38
Data set Y: 13, 16, 19, 21, 24, 25, 25, 26, 33

Data set Y is created by replacing the number 38 in data set X with the number 33.
Which of the following statements is true about the means and medians of data set X and data set Y?

原库参考解析
2026年3月国际A卷 · 原库模块 3 · Q2作答 ↗
均值・中位数与集中趋势进阶

74, 76, 78, 81, 84, 87, 90, 91, 95
What is the median of the data shown?

原库参考解析
2026年5月国际B卷(易) · 原库模块 1 · Q5作答 ↗
均值・中位数与集中趋势挑战

For data set A, the table summarizes the distribution of the number of pieces of mail received by a business each day during a period of 11 days.
题目图表
The data value 14 is removed from data set A to create data set B, which consists of the remaining 10 data values. Which statement best compares the median of data set A and the median of data set B?
参考答案
2026年6月国际A卷 · 原库模块 2 · Q10作答 ↗
均值・中位数与集中趋势进阶

a, 26, 28, b, 33, 49, c
For the given data set, the data values are listed in ascending order, where a, b, and c are constants. For this data set, the mean is 35, the median is 28, and the range is 71. What is the value of c?

参考答案
2026年6月国际B卷 · 原库模块 1 · Q6作答 ↗
均值・中位数与集中趋势挑战

题目图表
Data set A and data set B each consist of 24 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?
参考答案
2026年6月国际C卷练习 · 原库模块 2 · Q16作答 ↗
均值・中位数与集中趋势挑战
题目图表
Two data sets of 14 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?
参考答案
2026年8月国际A卷 · 原库模块 2 · Q22作答 ↗
均值・中位数与集中趋势挑战
At a nature preserve, a wildlife biologist counted bald eagles from an observation deck at the same time each day for 21 days. The table summarizes the resulting data set, data set A.
题目图表
The data value 19 was recorded in error and is removed from data set A to create data set B, which consists of the remaining 20 data values. Which statement best compares the median of data set A and the median of data set B?
参考答案
2026年8月国际B卷 · 原库模块 2 · Q16作答 ↗