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Question 10

If the average of 31, x, 42, 39, 56, 78, 83 and 91 is 58.5, then what is the value of x?

Number of terms = 8

Sum of terms = $$31+x+42+39+56+78+83+91=(x+420)$$

Average = $$\frac{x+420}{8}=58.5$$

=> $$x+420=58.5\times8$$

=> $$x=468-420=48$$

=> Ans - (D)

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