Question
Download Solution PDFदिए गए आंकड़े के लिए माध्यिका के सापेक्ष माध्य विचलन क्या है?
52, 56, 66, 70, 75, 80, 82:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त सूत्र
माध्यिका के सापेक्ष माध्य विचलन = \(∑\rm \frac{|x_{i} - M|}{n}\)
जहाँ,
xi = एकल पद
M = माध्यिका
n = पदों की कुल संख्या
गणना:
52, 56, 66, 70, 75, 80, 82
माध्यिका = 70
⇒ M = 70
⇒ (xi - M) का मान है
⇒ -18, -14, -4, 0, 5, 10, 12
⇒ माध्य विचलन = \(\rm \frac{18 + 14 + 4 + 0 + 5 + 10 + 12}{7}\)
∴ माध्यिका के सापेक्ष माध्य विचलन 9 हैI
Important Points
माध्य एक आंकड़े के समूह का औसत होता है।
माध्यिका संख्याओं के समूह का माध्य होती है।
माध्य के सापेक्ष माध्य विचलन
\(∑\rm \frac{|x_{i} - x̅|}{n}\) जहाँ x̅ = माध्य
xi = एकल पद
n = पदों की कुल संख्या
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