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\( \qquad \) \( \qquad \) \( \qquad \) \( \qquad \) 2. จากข้อมูล \( \begin{array}{llllllll}49 & 40 & 57 & 25 & 65 & 42 & 60\end{array} \) จงหาพิสัย (1คะแนน) พิสัยระหว่างควอไทล์ (4คะแนน)

Ask by Mitchell Goodwin. in Thailand
Feb 27,2025

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พิสัยของข้อมูลคือ 40

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เพื่อหาพิสัย (range) ของตัวเลขที่กำหนด เราต้องหาค่าขั้นต่ำและค่าขั้นสุดของตัวเลขเหล่านั้น ข้อมูลที่ให้มา: \[ 49, 40, 57, 25, 65, 42, 60 \] ขั้นตอนในการหาพิสัย: 1. หาค่าขั้นต่ำ (minimum) ของตัวเลขที่กำหนด 2. หาค่าขั้นสุด (maximum) ของตัวเลขที่กำหนด 3. พิสัย (range) คือผลต่างระหว่างค่าขั้นสุดและค่าขั้นต่ำ การหาค่าขั้นต่ำและค่าขั้นสุด: - ค่าขั้นต่ำ: 25 - ค่าขั้นสุด: 65 พิสัย (range) = ค่าขั้นสุด - ค่าขั้นต่ำ = 65 - 25 = 40 ดังนั้น พิสัย (range) ของตัวเลขที่กำหนดคือ 40

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พิสัย (Range) คือค่าที่แสดงถึงความแตกต่างระหว่างค่ามากที่สุดและน้อยที่สุดในชุดข้อมูล โดยหาค่าจากสมการ \( \text{Range} = \text{Max} - \text{Min} \) ในข้อมูลที่ให้มา ค่ามากที่สุดคือ 65 และค่าน้อยที่สุดคือ 25 ดังนั้น พิสัยจะเท่ากับ \( 65 - 25 = 40 \). พิสัยระหว่างควอไทล์ (Interquartile Range, IQR) จะคำนวณจากควอไทล์ที่ 3 (Q3) และควอไทล์ที่ 1 (Q1) เพื่อแสดงความกว้างของข้อมูลที่อยู่ตรงกลาง ควอไทล์ที่ 1 ค่าจะอยู่ที่ 40 และควอไทล์ที่ 3 ที่ 60 ดังนั้น IQR จะเท่ากับ \( 60 - 40 = 20 \).

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