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The average of 6 observations is 45.5. If one new observation is added to the previous observations, then the new average becomes 47. The new observation is :

A. 58 B. 56 C. 50 D. 46 Answer: Option B
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Solution(By Apex Team)

$\begin{array}{l}\text{Let the new observation be = x}\\ \text{According to the question,}\\ \text{6 × 45.5 + x = 7 × 47}\\ \text{273.0 + x = 329}\\ \text{x = 329 – 273}\\ \text{x = 56}\end{array}$

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