Question
Download Solution PDF5, 7, 8, 10, 12, 13 आणि N या संख्यांची चढत्या क्रमाने मांडणी केली आहे. जर संख्यांचा मध्य हा मध्यकाशी समान असेल तर N चे मूल्य किती असेल?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेल्याप्रमाणे:
चढत्या क्रमाने मांडणी केलेल्या संख्या = 5, 7, 8, 10, 12, 13 आणि N
वापरलेले सूत्र:
मध्य = पदांची बेरीज/पदांची संख्या
जेव्हा n विषम असतो,
मध्यक = (n + 1)/2
गणना:
चढत्या क्रमाने मांडणी केलेल्या संख्या= 5, 7, 8, 10, 12, 13 आणि N
सरासरी = (5 + 7 + 8 + 10 + 12 + 13 + N)/7
⇒ (55 + N)/7
आता,
एकूण पदांची संख्या = 7, जी विषम आहे
म्हणून, मध्यक = (n + 1)/2
⇒ (7 + 1)/2 = 4
चौथे पद = 10
आता,
दिलेल्या अटीनुसार
⇒ (55 + N)/7 = 10
⇒ 55 + N = 70
⇒ N = (70 – 55)
⇒ N = 15
∴ N चे आवश्यक मूल्य 15 आहे
Last updated on May 28, 2025
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