Question
Download Solution PDFनिम्नलिखित प्रेक्षणों को आरोही क्रम में व्यवस्थित किया जाता है। डेटा की माध्यिका 15 है, तो x का मान ज्ञात कीजिए।
8, 11, 12, x + 6, 17, 18, 23
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFसंकल्पना:
माध्यिका: यह दिए गए समुच्चय में मध्य मान है, जबकि समुच्चय या तो बढ़ते या घटते क्रम में है।
यदि प्रेक्षण की संख्या (n) विषम है तो माध्यिका (n+1)/2वां पद है।
यदि प्रेक्षण की संख्या (n) सम है तो माध्यिका nवां और (n+1)वां पद का औसत है।
गणना:
दिया गया है: माध्यिका = 15
8, 11, 12, x + 6, 17, 18, 23
n = 7,
चूँकि, n विषम है, माध्यिका 4था पद होना चाहिए।
तो, x + 6 माध्यिका होनी चाहिए।
⇒ x + 6 = 15
⇒ x = 9
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