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1 Primary & Middle School Mathematics1–9 年级在线 2 High School Mathematics10–12 年级在线 3 University Mathematics — Year 1本科一年级在线 4 University Mathematics — Year 2本科二年级在线 5 University Mathematics — Year 3本科三年级在线

1 Primary & Middle School Physics1–9 年级在线 2 High School Physics10–12 年级在线 3 University Physics — Year 1本科一年级在线 4 University Physics — Year 2本科二年级在线 5 University Physics — Year 3本科三年级在线

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1 Markets I: The Ecosystem and Exchange-Traded Markets市场在线 2 Markets II: Rates, FX and Credit市场在线 3 Markets III: Commodities, Energy and Crypto市场在线 4 Quantitative Methods方法在线 5 Derivatives and Volatility衍生品在线 6 Rates, Credit, XVA and Risk利率、信用与风险在线 7 Research Craft: Predictors, Backtests, Measurement, Portfolios研究在线 8 Strategies I: Equities and Futures策略在线 9 Strategies II: Volatility, Relative Value, Macro and the Bank Desks策略在线 10 Microstructure and Execution交易执行在线 11 Market Making and High-Frequency Trading做市在线 12 Machine Learning for Markets机器学习在线 13 Low-Latency Software技术在线 14 Networks, Hardware and Trading Infrastructure技术在线 15 Research, Data and Risk Platforms技术在线 16 The Desk and the Firm公司运营在线 17 The Industry: Firms, Roles and Careers职业发展在线 18 Interviews I: Maths, Probability and Speed职业发展在线 19 Interviews II: Markets, Trading Games and the Final Round职业发展在线 20 Interviews III: Code职业发展在线

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Mathematics · 术语表

什么是 Statistical series？

又称： frequency

Definition 8.1 High School Mathematics · 第 8 章 — Descriptive Statistics

A statistical series is a list of values $x_1, x_2, \dots, x_N$ observed on a population of size $N$ . When a value $x$ appears $n$ times, $n$ is its count and the quotient

f = \frac{n}{N}

is its frequency (often expressed as a percentage). The frequencies of all values add up to $1$ .

The bar chart of the quiz grades: one bar per value, with height equal to the count.

示例

Example 8.2

The grades of $20$ students on a $5$ -point quiz:

grade $x$	$0$	$1$	$2$	$3$	$4$	$5$
count $n$	$1$	$2$	$4$	$6$	$5$	$2$
frequency $f$	$0.05$	$0.10$	$0.20$	$0.30$	$0.25$	$0.10$

Check: $1 + 2 + 4 + 6 + 5 + 2 = 20$ and the frequencies sum to $1$ .

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