WBBSEClass XMathematicsStatistics02 Mark2023 Easy

QQuestion

If 6, 8, 10, 12, 13, x are in increasing order and their mean and median are equal, then find the value of x.

Exam-ready answer 02 Mark

Answer

Numbers in ascending order are 6, 8, 10, 12, 13, x

Mean = 6 + 8 + 10 + 12 + 13 + x\over 6 = 49 + x\over 6

No. of terms (n) (even)

Median = {\text{n}\over2} \text{term} +{\text{n}\over2} + 1 \text{term}\over 2 

= {6\over2} \text{term} +({6\over2} + 1) \text{term}\over 2 

= 3^{rd} \text{term} +4^{th} \text{term}\over 2 

= 10 + 12\over 2  = 11

ATP: Mean = Median

or, 49 + \text{x}\over 6 = 11

or, x = 17

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