पाच सलग सम संख्यांची सरासरी 16 आहे, त्या संख्यांचा प्रचरण (वेरीयन्स) शोधा,

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

Answer (Detailed Solution Below)

Option 3 : 8
Free
RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
100 Qs. 100 Marks 90 Mins

Detailed Solution

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दिलेले आहे:

पाच सलग सम संख्यांची सरासरी = 16

वापरलेले सूत्र:

V = प्रचरण (वेरीयन्स) 

∑ = समाकलन

x = निरीक्षण

n = निरीक्षणांची संख्या

a = संख्यामधील प्रथम पद

d = सामायिक फरक

गणना:

⇒ 2a + (5 – 1)2 = 32

⇒ 2a + 4 × 2 = 32

⇒ 2a = 32 – 8

⇒ 2a = 24

⇒ a = 12

प्रथम पद = 12

इतर पद आहेत, 14, 16, 18, 20

⇒ 

⇒ 

⇒ 8

⇒ V = 8

∴ संख्यांचे प्रचरण (वेरीयन्स) 8 आहे.

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