What is the value of ΣX^2 for the scores 1, 0, 2, 4?

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Multiple Choice

What is the value of ΣX^2 for the scores 1, 0, 2, 4?

Explanation:
Sum of squares means squaring each score and adding the results. For the scores 1, 0, 2, and 4, square each: 1^2 = 1, 0^2 = 0, 2^2 = 4, 4^2 = 16. Adding them gives 1 + 0 + 4 + 16 = 21. So ΣX^2 equals 21. This quantity is often used in variance calculations, since Var involves ΣX^2 and the mean. The other possible sums don’t come from these same squared values, so they don’t match the data here.

Sum of squares means squaring each score and adding the results. For the scores 1, 0, 2, and 4, square each: 1^2 = 1, 0^2 = 0, 2^2 = 4, 4^2 = 16. Adding them gives 1 + 0 + 4 + 16 = 21. So ΣX^2 equals 21. This quantity is often used in variance calculations, since Var involves ΣX^2 and the mean. The other possible sums don’t come from these same squared values, so they don’t match the data here.

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