統計測驗
測試您對標準差概念的理解
Why This Quiz Matters
Standard deviation is a measure of spread, variance refers to squared spread, and a z-score is a standardized distance from the mean. A quiz is a low-stakes assessment that shows whether those definitions are genuinely understood or only vaguely recognized.
| Skill | What the quiz checks | Why it matters |
|---|---|---|
| Definition recall | Can you explain the metric in plain English? | Prevents formula mimicry without understanding |
| Formula choice | Can you choose sample versus population mode? | Avoids denominator mistakes |
| Interpretation | Can you explain whether spread is high or low? | Improves reporting quality |
Quiz Questions
標準差衡量什麼？
如果資料集中所有值都相同，標準差是多少？
變異數和標準差之間是什麼關係？
什麼時候應該使用樣本標準差 (s) 而不是母體標準差 (σ)？
在常態分佈中，大約有多少百分比的資料落在平均值的一個標準差範圍內？
為什麼樣本標準差除以 (n − 1) 而不是 n？
對於資料集 {2, 4, 4, 4, 5, 5, 7, 9}，平均值是多少？
哪個資料集的標準差更大？
如果對資料集中的每個值加上相同的常數，標準差會怎樣？
如果將每個值乘以 2，標準差會怎樣？
什麼是 z 分數？
以下哪個不受離群值影響？
變異係數 (CV) 適用於：
在品質控制中，標準差較小的製程通常被認為是：
平均值的標準誤差是什麼？
Frequently Asked Questions
What is this statistics quiz for?
The quiz checks whether you can recognize the meaning of standard deviation, variance, and related terms in plain language. A statistics quiz is a short assessment tool that helps you confirm conceptual understanding before you rely on a calculator result.
Should I calculate first or reason conceptually first?
Conceptual reasoning should come first. If you understand what the metric is measuring, you can choose the correct calculator mode and recognize an implausible output before it appears in a report.
Why do quizzes matter for statistical literacy?
They reveal whether a person knows what the result means, not just how to click a tool. Statistical literacy refers to the ability to interpret numbers in context and avoid common reasoning mistakes.