Application of the Empirical Rule - Part 2 What IQ test score is at the 84th percentile? expression
IQ test score at the 84th percentile can be calculated using the formula:
IQ = μ + Zσ
where:
- IQ is the IQ test score at the 84th percentile
- μ is the mean IQ score
- Z is the z-score corresponding to the 84th percentile (Z = 0.9945)
- σ is the standard deviation of IQ scores
To find the IQ test score at the 84th percentile, you first need to know the mean IQ score and the standard deviation of IQ scores. Let's assume the mean IQ score is 100 and the standard deviation is 15. Plug these values into the formula:
IQ = 100 + 0.9945 * 15
IQ ≈ 100 + 14.9175
IQ ≈ 114.9175
Therefore, the IQ test score at the 84th percentile is approximately 114.92.