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If 69.5 is the mean of 72, 70, ‘x’, 62, 50, 71, 90, 64, 58 and 82, find the value of ‘x’. - Mathematics

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Question

If 69.5 is the mean of 72, 70, ‘x’, 62, 50, 71, 90, 64, 58 and 82, find the value of ‘x’.

Sum
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Solution

No. of terms = 10

Mean = 69.5

Sum of the numbers = 69.5 × 10 = 695   ...(i)

But sum of numbers = 72 + 70 + x + 62 + 50 + 71 + 90 + 64 + 58 + 82 = 619 + x  ...(ii)

From (i) and (ii)

619 + x = 695

`\implies` x = 695 – 619

`\implies` x = 76

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