📚 Year 8 Statistics: Comparing UK University Entry Requirements | Year 8 统计：英国大学申请要求对照
In Year 8 statistics, we can apply our data-handling skills to real-life contexts. One fascinating topic is comparing the entry requirements of top UK universities. By collecting, organising, and analysing admission data, we can explore averages, charts, and measures of spread. This article walks you through a statistical investigation of university entry grades.
在Year 8统计学中，我们可以将数据处理技能应用到现实生活中。一个有趣的主题是比较英国顶尖大学的入学要求。通过收集、整理和分析录取数据，我们可以探索平均数、图表和离散程度。这篇文章将带你进行一次关于大学入学成绩的统计调查。
1. Understanding University Entry Requirements | 了解大学入学要求
Most UK universities set minimum A-level grade requirements for each course. These are typically expressed as combinations of grades, such as A*A*A or AAA. For statistical analysis, we need to convert these letter grades into numbers. This helps us compare entries quantitatively.
多数英国大学为每个课程设置了最低A-level成绩要求。这些通常以等级组合表示，例如A*A*A或AAA。为了进行统计分析，我们需要将这些字母等级转换为数字。这有助于我们定量地比较入学要求。
2. Collecting Data: Selecting 10 UK Universities | 收集数据：选择10所英国大学
We selected ten prestigious UK universities: Oxford, Cambridge, Imperial College London, LSE, UCL, Warwick, Edinburgh, Manchester, Bristol, and Durham. We recorded their typical A-level entry requirements for a standard undergraduate programme (excluding specific courses with higher demands). The data is shown in the table below.
我们选择了十所英国知名大学：牛津、剑桥、帝国理工、伦敦政经、伦敦大学学院、华威、爱丁堡、曼彻斯特、布里斯托和杜伦。我们记录了它们典型本科专业（不包括要求更高的特定课程）的A-level入学要求。数据见下表。
| University | Typical A-level Offer | Point Score |
|---|---|---|
| University of Oxford | A*A*A | 17 |
| University of Cambridge | A*A*A | 17 |
| Imperial College London | A*A*A | 17 |
| London School of Economics (LSE) | A*AA | 16 |
| University College London (UCL) | A*AA | 16 |
| University of Warwick | A*AA | 16 |
| University of Edinburgh | AAA | 15 |
| University of Manchester | AAA | 15 |
| University of Bristol | AAA | 15 |
| Durham University | A*AA | 16 |
3. Converting A-level Grades to Numerical Scores | 将A-Level成绩转换为分数
t is 6 + 5 + 5 = 16. For AAA, it is 5 + 5 + 5 = 15. The table above includes these scores.
为了分析数据，我们分配分数值：A* = 6分，A = 5分，B = 4分，C = 3分，D = 2分，E = 1分。对于A*A*A的要求，总分为6+6+5=17分。对于A*AA，为6+5+5=16分。对于AAA，则是5+5+5=15分。上表中包含了这些分数。
4. Calculating the Mean Entry Score | 计算平均入学分数
niversities. We sum the ten scores: 17 + 17 + 17 + 16 + 16 + 16 + 15 + 15 + 15 + 16 = 160.
平均数是所有分数之和除以大学数量。我们将十个分数相加：17 + 17 + 17 + 16 + 16 + 16 + 15 + 15 + 15 + 16 = 160。
Mean = Σx / n = 160 / 10 = 16.0
The mean entry score is 16 points. This corresponds roughly to an A*AA offer, indicating that the typical requirement among these top universities is just above AAA level.
平均入学分数是16分。这大致对应于A*AA的录取要求，表明这些顶尖大学的典型要求略高于AAA水平。
5. Finding the Median and Mode | 找出中位数和众数
The median is the middle value when data are ordered. We put the scores in ascending order: 15, 15, 15, 16, 16, 16, 16, 17, 17, 17. With ten values, the median lies between the 5th and 6th scores. Both are 16, so the median is 16.
中位数是将数据排序后位于中间的值。我们将分数升序排列：15, 15, 15, 16, 16, 16, 16, 17, 17, 17。有10个值，中位数位于第5个和第6个分数之间。两者都是16，因此中位数为16。
The mode is the score that appears most often. Here, 16 appears four times, while 15 and 17 each appear three times. So the mode is 16.
众数是出现最频繁的分数。在此，16出现了4次，而15和17各出现3次。因此众数为16。
Both the median and mode equal 16, confirming that A*AA is the central value in this dataset.
中位数和众数都等于16，证实了A*AA是本数据集的中心值。
6. Measuring the Range and Spread | 测量极差与离散程度
ulated as the difference between the maximum and minimum values. Here, Max = 17, Min = 15.
极差显示了数据的分散程度。它等于最大值与最小值之差。这里最大值为17，最小值为15。
Range = Max - Min = 17 - 15 = 2
A range of only 2 points tells us that the entry requirements for these universities are very tightly packed. There is little variation; almost all offers fall within a narrow band around A*AA.
极差仅为2分，表明这些大学的入学要求非常集中。差异很小；几乎所有录取要求都落在A*AA附近的狭窄范围内。
7. Creating a Bar Chart of Entry Scores | 制作入学分数的条形图
A bar chart can display the entry score for each university clearly. On the horizontal axis, we list the university names; on the vertical axis, we mark the point scores from 0 to 18. Each bar’s height represents the score. Oxford, Cambridge, and Imperial all have bars reaching 17. LSE, UCL, Warwick, and Durham have bars at 16. Edinburgh, Manchester, and Bristol have bars at 15.
条形图可以清晰地展示每所大学的入学分数。在横轴上，我们列出大学名称；在纵轴上，标记从0到18的分数。每个条形的高度代表分数。牛津、剑桥和帝国理工的条形都达到17。LSE、UCL、华威和杜伦的条形在16。爱丁堡、曼彻斯特和布里斯托的条形在15。
If you draw this bar chart, you will instantly recognise the slight differences among the universities. The chart also makes it easy to see that three universities share the highest entry standard.
如果你画出这个条形图，你会立刻看出大学之间的微小差异。该图还能让你轻松发现有三所大学共享最高的入学标准。
8. Pie Chart of Grade Categories | 成绩类别的饼图
Instead of individual scores, we can group them into categories: 15 points (AAA), 16 points (A*AA), and 17 points (A*A*A). Three universities belong to the 15-point category, four to the 16-point category, and three to the 17-point category. The total is 10.
我们可以不关注单个分数，而是将其分组：15分（
Published by TutorHao | Year 8 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