For the scores 1, 0, 2, 4, what is the value of Σ(X + 1)^2?

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Multiple Choice

For the scores 1, 0, 2, 4, what is the value of Σ(X + 1)^2?

Explanation:
You’re being tested on evaluating a sum after applying a simple transformation to each score. To do this, transform each value by adding 1 and squaring, then add those results together. Compute individually: - for 1: (1 + 1)^2 = 4 - for 0: (0 + 1)^2 = 1 - for 2: (2 + 1)^2 = 9 - for 4: (4 + 1)^2 = 25 Add them up: 4 + 1 + 9 + 25 = 39. So the value of Σ(X + 1)^2 is 39. (Alternatively, you can expand and sum: sum X^2 plus 2 sum X plus the number of observations, which also gives 39.)

You’re being tested on evaluating a sum after applying a simple transformation to each score. To do this, transform each value by adding 1 and squaring, then add those results together.

Compute individually:

  • for 1: (1 + 1)^2 = 4

  • for 0: (0 + 1)^2 = 1

  • for 2: (2 + 1)^2 = 9

  • for 4: (4 + 1)^2 = 25

Add them up: 4 + 1 + 9 + 25 = 39.

So the value of Σ(X + 1)^2 is 39. (Alternatively, you can expand and sum: sum X^2 plus 2 sum X plus the number of observations, which also gives 39.)

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