Question
निम्नलिखित आंकड़ों के लिए परास, चतुर्थक विचलन, औसत विचलन और मानक विचलन की गणना कीजिए ! 45, 40, 37, 41, 50, 54, 54, 55, 57, 59
Answer :
Word Count : 541
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Skip in 10
दिए गए आंकड़े हैं: 45, 40, 37, 41, 50, 54, 54, 55, 57, 59। सांख्यिकीय गणनाओं को सरल बनाने के लिए पहले इन्हें आरोही क्रम में व्यवस्थित करते हैं: 37, 40, 41, 45, 50, 54, 54, 55, 57, 59। सबसे पहले परास की गणना की जाती है। परास का सूत्र है – अधिकतम मान – न्यूनतम मान। यहाँ अधिकतम मान 59 है और न्यूनतम मान 37 है। अतः परास = 59 – 37 = 22। यह दर्शाता है कि आंकड़ों का फैलाव 22 इकाइयों तक है। अब चतुर्थक विचलन की गणना करते हैं। इसके लिए पहले प्रथम चतुर्थक (Q₁) और तृतीय चतुर्थक (Q₃) ज्ञात करना आवश्यक है। कुल प्रेक्षणों की संख्या n = 10 है। प्रथम चतुर्थक की स्थिति (n+1)/4 = 11/4 = 2.75वाँ पद है। 2वें और 3वें पद के बीच 0.75 का अंतराल है। दूसरा पद 40 और तीसरा पद 41 है। अतः Q₁
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