दिए गए डेटा p, 6, 6, 7, 8, 11, 15, 16 का माध्य विचलन ज्ञात कीजिए यदि डेटा के माध्य का मान 'p' का 3 गुना है।

  1. 2.25
  2. 3.75
  3. 4.4
  4. 2.5

Answer (Detailed Solution Below)

Option 2 : 3.75
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अवधारणा:

असमूहीकृत डेटा के लिए  औसत  विचलन:

'n' अवलोकन x1, x2 ………… .. xके लिए उनके माध्य  के ओर विचलन इसके द्वारा दिया गया है:  जहां N अवलोकनों की संख्या है

गणना:

दिया गया संख्याओं का डेटा p, 6, 6, 7, 8, 11, 15 और 16 है

माध्य 

⇒ p + 69 = 24p

⇒  23p = 69                  

∴  p = 3

तो दिया गया डेटा 3, 6, 6, 7, 8, 11, 15, 16 है और माध्य 3p यानी 9 है।

∴ माध्य विचलन 

माध्य विचलन 

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