Multiple choice

The sum of 15 observations of a data is (434+x). If the mean of the data is x, then find x.

  1. 25

  2. 27

  3. 31

  4. 33

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C Correct answer
Explanation

Mean = Sum / Number of observations. x = (434 + x) / 15. 15x = 434 + x. 14x = 434. x = 434 / 14 = 31.

AI explanation

Using the direct mean formula, the mean equals the sum of observations divided by the number of observations. We are given that x = (434 + x) divided by 15. Solving this equation gives 15x = 434 + x, which simplifies to 14x = 434, yielding x = 31.