1 0 0 0 OA 標準偏差、中央値を巡る演習問題的一考察 - 偏差の絶対値和の最小化に関して -
- 著者
- 松浦利治
- 出版者
- 宇部工業高等専門学校
- 雑誌
- 宇部工業高等専門学校研究報告 (ISSN:03864359)
- 巻号頁・発行日
- vol.48, pp.61-66, 2002-03
- 被引用文献数
- 1
Let x1,x2,…, xn be n data, and F(x)=(x1-x)^2+(x2-x)^2+…+(xn-x)^2→min, then we get, x=(x1+x2+…+xn)/n=μand F(μ)=n^*σ^2,where ^2 : square, σ : the standard deviation. The Standard Deviation is not the mean distance from the Mean(Arithmetic Mean), one of the averages. If G(x)=|x1-x|+|x2-x|+…+|xn-x|→min, we can get the Median as the value of x, me, another average. What is the. meaning of the minimum value of G(x), G(me)=|x1-me|+|x2-me|+…+|xn-me|? We will propose d, a Median Mean Deviation, and consider the meaning of d.
1 0 0 0 OA 経営系学生のための数e(自然対数の底)のイメージといくつかの演習問題的話題
- 著者
- 松浦 利治
- 出版者
- 宇部工業高等専門学校
- 雑誌
- 宇部工業高等専門学校研究報告 (ISSN:03864359)
- 巻号頁・発行日
- vol.53, pp.79-83, 2007-03
We want to understand the meaning of the Napier Number e and try to make clear the meaning in the business field for example. For business administration students, we propose a financial example. The statement "lim__<n→∞>(1+1/n)^n = e" is illustrated. And some episodes of the Napier Number e - area problem, differential of exponential function, definition of e, Eider's formula and so on - are mentioned.