📚 Year 11 CCEA Statistics Mock Unit Test: Worked Solutions | CCEA 统计单元测试模拟卷解析
This article provides a complete walkthrough of a mock unit test for Year 11 CCEA Statistics, including detailed worked solutions and key exam techniques. Designed to mirror the style of actual CCEA assessment, each question targets core topics such as measures of central tendency, box plots, probability, sampling, cumulative frequency, and Spearman's rank correlation. Follow along to strengthen your understanding and boost your confidence for the real exam.
本文提供一份 CCEA 11 年级统计单元测试模拟卷的完整解析，包含详细解题步骤和核心应试技巧。模拟卷贴近真实的 CCEA 考试风格，每道题目针对集中趋势量数、箱线图、概率、抽样、累积频率和斯皮尔曼等级相关等核心主题。跟随解析巩固理解，提升应考信心。
1. Question 1 – Central Tendency and Skew | 中心趋势与偏态
Given the data set: 12, 15, 14, 18, 16, 20, 22, 15, 19, 17.
给定数据集：12, 15, 14, 18, 16, 20, 22, 15, 19, 17。
2. The mean is the sum divided by the count: sum = 168, n = 10, so mean = 168 ÷ 10 = 16.8.
首先将数据升序排列：12, 14, 15, 15, 16, 17, 18, 19, 20, 22。均值等于总和除以个数：总和 = 168，n = 10，因此均值 = 168 ÷ 10 = 16.8。
The median is the average of the 5th and 6th values: (16 + 17) ÷ 2 = 16.5.
中位数为第5和第6个数值的平均值：(16 + 17) ÷ 2 = 16.5。
t frequent value: 15 appears twice, while all other values appear only once, so mode = 15.
众数为出现次数最多的值：15 出现两次，其他值均只出现一次，因此众数 = 15。
Because mean (16.8) > median (16.5) > mode (15), the distribution is positively skewed.
由于均值 (16.8) > 中位数 (16.5) > 众数 (15)，分布呈正偏态。
Mean = 16.8, Median = 16.5, Mode = 15 → Positively skewed
2. Question 2 – Box Plots and Comparisons | 箱线图与比较
imum = 98. The interquartile range IQR = Q3 - Q1 = 72 - 45 = 27. The range = 98 - 23 = 75.
班级A：最小值 = 23，Q1 = 45，中位数 = 56，Q3 = 72，最大值 = 98。四分位距 IQR = Q3 - Q1 = 72 - 45 = 27。全距 = 98 - 23 = 75。
35, Q1 = 50, median = 60, Q3 = 68, maximum = 85. IQR = 68 - 50 = 18, range = 85 - 35 = 50.
班级B：最小值 = 35，Q1 = 50，中位数 = 60，Q3 = 68，最大值 = 85。IQR = 68 - 50 = 18，全距 = 85 - 35 = 50。
To draw each box plot, draw a box from Q1 to Q3 with a vertical line at the median. Extend whiskers to the minimum and maximum, assuming no outliers. Plot both boxes on the same scale for comparison.
绘制箱线图时，从 Q1 到 Q3 画一个箱体，并在中位数处画一条垂直线。假设数据中没有异常值，将触须延伸至最小值和最大值。将两个箱线图绘制在同一尺度上以便比较。
Class B has a higher median (60 compared to 56), suggesting better overall performance. Class A shows a larger IQR (27 vs 18) and a much greater range (75 vs 50), indicating wider spread and more variability. Class B is more consistent.
班级B的中位数更高（60 相比 56），表明整体成绩更好。班级A的四分位距更大 (27 对 18) 且全距更广 (75 对 50)，说明分数分布更分散、变异性更大。班级B的成绩更为集中一致。
Class A: IQR = 27, Range = 75; Class B: IQR = 18, Range = 50
Published by TutorHao | Year 11 统计 Revision Series | aleveler.com
更多咨询请联系16621398022（同微信）
或截图后用「扫一扫 → 相册」选择本图