पांच क्रमागत सम संख्याओं का माध्य 16 है, संख्याओं का प्रसरण ज्ञात कीजिये।

  1. 40
  2. 16
  3. 8
  4. 10

Answer (Detailed Solution Below)

Option 3 : 8
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दिया गया है:

पांच क्रमागत सम संख्याओं का माध्य = 16

प्रयुक्त सूत्र:

V = प्रसरण

∑ = योग

x = अवलोकन

n = अवलोकनों की संख्या

a = संख्याओं का पहला पद

d = सार्व अंतर

गणना:

⇒ 2a + (5 – 1)2 = 32

⇒ 2a + 4 × 2 = 32

⇒ 2a = 32 – 8

⇒ 2a = 24

⇒ a = 12

पहला पद = 12

अन्य पद 14, 16, 18, 20 हैं

⇒ 

⇒ 

⇒ 8

⇒ V = 8

∴ संख्याओं का प्रसरण 8 है

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