แนวข้อสอบปลายภาค อัตนัย

1. ชื่อ.......................................................................ชั้น.........................เลขที่.......................
ตอนที่ 2 ข้อสอบแบบอัตนัย แสดงวิธีทำจำนวน 10 ข้อ คะแนน 30 คะแนน
ใช้ตารางต่อไปนี้ตอบคำถามข้อ 1 – 6
ตารางต่อไปนี้เป็นความสัมพันธ์ระหว่าง X กับ Y
X 2 3 5 7 9 10
Y 1 3 7 11 15 13
1. จงสร้างแผนภาพการกระจายของข้อมูลและเขียนกราฟประมาณความสัมพันธ์ (4.20 การวิเคราะห์ความสัมพันธ์)
สมการความสัมพันธ์ของกราฟคือ......................................................................................................
2. สร้างความสัมพันธ์ระหว่าง X กับ Y โดยให้ X เป็นตัวแปรอิสระ (4.20 การวิเคราะห์ความสัมพันธ์)
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X
Y
XY
X2
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2. ชื่อ.......................................................................ชั้น.........................เลขที่.......................
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4. จงประมาณค่า Y จากสมการความสัมพันธ์ เมื่อ X = 5 (4.20 การวิเคราะห์ความสัมพันธ์)
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5. สร้างความสัมพันธ์ระหว่าง X กับ Y โดยให้ Y เป็นตัวแปรอิสระ (4.20 การวิเคราะห์ความสัมพันธ์)
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X
Y
XY
Y2
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6. จงประมาณค่า Y จากสมการความสัมพันธ์ เมื่อ X = 5 (4.20 การวิเคราะห์ความสัมพันธ์)
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3. ชื่อ.......................................................................ชั้น.........................เลขที่.......................
7. ในการสอบวิชาคณิตศาสตร์เพิ่มเติม มีนักเรียนเข้าสอบ 150 คน ปรากฏว่า คะแนนสอบมีการแจกแจงปกติ
และการตัดสินผลการสอบ จะตัดสินจากค่ามาตรฐาน ถ้านักเรียนคนใดสอบได้ค่ามาตรฐานต่ำกว่า –2
ถือว่าสอบตก จงหาว่าในการสอบครั้งนี้มีผู้สอบได้ทั้งหมดกี่คน (พื้นที่ใต้เส้นโค้งปกติระหว่าง Z = 0 ถึง Z = 2
เท่ากับ 0.4773) (1.31 ความรู้เกี่ยวกับหลักวิชาและการขยาย)
วิธีทำ
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4. ชื่อ.......................................................................ชั้น.........................เลขที่.......................
8. คะแนนสอบของนักเรียนกลุ่มหนึ่งมีการแจกแจงปกติ และมีค่าเฉลี่ยเลขคณิตและส่วนเบี่ยงเบน
มาตรฐานของคะแนนสอบเป็น 68 และ 10 คะแนน ตามลำดับ ถ้านายธงชัยสอบได้ 84 คะแนน
แล้วเขาจะมีตำแหน่งตรงกับเปอร์เซ็นไทล์ที่เท่าใด (1.31 ความรู้เกี่ยวกับหลักวิชาและการขยาย)
(กำหนดพื้นที่ใต้เส้นปกติระหว่าง Z = 0 ถึง Z = 1.6 เท่ากับ 0.4452)
วิธีทำ
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5. ชื่อ.......................................................................ชั้น.........................เลขที่.......................
9. ข้อมูลชุดหนึ่งมีการแจกแจงปกติ มีค่าเฉลี่ยเลขคณิตเป็น 60 คะแนน ส่วนเบี่ยงเบนมาตรฐานเป็น 10 คะแนน
จงหาว่ามีเปอร์เซ็นต์ของค่าของข้อมูล ซึ่งมีคะแนนตั้งแต่ 50 ถึง 80 คะแนน
(กำหนดพื้นที่ใต้เส้นปกติระหว่าง Z = 0 ถึง Z = 1 เท่ากับ 0.3413 และ พื้นที่ใต้เส้นปกติระหว่าง Z = 0
ถึง Z = 2 เท่ากับ 0.4773) (1.31 ความรู้เกี่ยวกับหลักวิชาและการขยาย)
วิธีทำ
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6. ชื่อ.......................................................................ชั้น.........................เลขที่.......................
10. ข้อมูลชุดหนึ่งมีการแจกแจงปกติ มีค่าเฉลี่ยเลขคณิตเป็น 60 คะแนน ส่วนเบี่ยงเบนมาตรฐานเป็น 10 คะแนน
จงหาว่ามีเปอร์เซ็นต์ของค่าของข้อมูล ซึ่งมีคะแนนมากกว่า 70 คะแนน
(กำหนดพื้นที่ใต้เส้นปกติระหว่าง Z = 0 ถึง Z = 1 เท่ากับ 0.3413 และ พื้นที่ใต้เส้นปกติระหว่าง Z = 0
ถึง Z = 2 เท่ากับ 0.4773) (1.31 ความรู้เกี่ยวกับหลักวิชาและการขยาย)
วิธีทำ
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