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सांख्यिकी

Question
CBSEHHIMAH10010407

निम्नलिखित सारणी नगरों की साक्षरता दर (प्रतिशत में) दर्शाती है। माध्य साक्षरता दर ज्ञात कीजिए:

साक्षरता दर (% में) 45−55 55−65 65−75 75−85 85−95
नगरों की संख्या 3 10 11 8 3

Solution

यहाँ पर,   माना कलिप्त माध्य (a) = 70
             तथा वर्ग-माप (h) = 10
rightwards double arrow                straight u subscript straight i space equals space fraction numerator straight x subscript straight i minus straight a over denominator straight h end fraction space equals space fraction numerator straight x subscript straight i minus 70 over denominator 10 end fraction

साक्षरता दर (% में)  बारंबारता left parenthesis straight f subscript straight i right parenthesis वर्ग-चिह्न (xi) straight u subscript straight i space equals space fraction numerator straight x subscript straight i minus 70 over denominator 10 end fraction straight f subscript straight i straight u subscript straight i
45−55 3 50 −2 −6
55−65 10 60 −1 −10
65−75 11 70 0 0
75−85 8 80 1 8
85−95 3 90 2 6
योग sum from blank to blank of straight f subscript straight i space equals space 35     sum from blank to blank of straight f subscript straight i straight u subscript straight i space equals space minus 2
अब,
             माध्य open parentheses straight x with bar on top close parentheses = straight a plus open parentheses fraction numerator begin display style sum from blank to blank of end style straight f subscript straight i straight u subscript straight i over denominator begin display style sum from blank to blank of end style straight f subscript straight i end fraction close parentheses cross times straight h
                        equals space 70 plus fraction numerator negative 2 over denominator 35 end fraction cross times 10
                        = 70 − 0.57 = 69.43
अत: माध्य साक्षरता दर = 69.43% 

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