Boost Your Brain with the Psychology Statistics Challenge 2026 – Ace Your Way to Data Mastery!

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.)