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:
(ΣX)^2 means you square the total of all scores. First add them: 1 + 0 + 2 + 4 = 7. Then square the sum: 7^2 = 49. So the value is 49. Keep in mind the distinction: if you instead computed ΣX^2, you’d sum the squares of each score (1^2 + 0^2 + 2^2 + 4^2 = 1 + 0 + 4 + 16 = 21), which is a different quantity.

(ΣX)^2 means you square the total of all scores. First add them: 1 + 0 + 2 + 4 = 7. Then square the sum: 7^2 = 49. So the value is 49.

Keep in mind the distinction: if you instead computed ΣX^2, you’d sum the squares of each score (1^2 + 0^2 + 2^2 + 4^2 = 1 + 0 + 4 + 16 = 21), which is a different quantity.

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