In a standard score system with M = 50 and SD = 10, which of these standard scores will be closest to the 20^th percentile?

Question

Quizplus · Accepted Answer

The 20th percentile in a standard score distribution (with M = 50 and SD = 10) is closest to a Z score of -0.84 (using a Z table or normal distribution calculator). Using the formula for converting Z scores to raw scores (X = Z*SD + M), where Z = -0.84, SD = 10, and M = 50, we get X ≈ 41.6. Therefore, a standard score of 40 is closest to the 20th percentile.

In a Standard Score System with M = 50 and SD