संख्याए 3, 5, 7 तथा 9 की बारंबारत क्रमश X - 2, X + 2, X + 3 तथा 3 है यदि माध्य 6.5 हो तो X का मान है।

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Bihar STET TGT (Maths) Official Paper-I (Held On: 04 Sept, 2023 Shift 2)
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  1. 3
  2. 5
  3. 4
  4. 6

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Option 1 : 3
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अवधारणा -

माध्य = (प्रत्येक संख्या का योग * उसकी बारंबारता) / कुल बारंबारता

स्पष्टीकरण -

6.5 = [3*(X - 2) + 5*(X + 2) + 7*(X + 3) + 9*3] / [(X - 2) + (X + 2) + (X + 3) + 3]

समीकरण को हल करने पर हमें प्राप्त होता है:

6.5 x [(3X + 6)] = 15X + 52

19.5X + 39 = 15X + 52

4.5 X = 13

X = 13/4.5 = 130/45 ~ 3

अतः X का मान 3 होगा।

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