Kobe Bryant
IQ: 113 ± 18
🔍 How Did We Calculate This?
Note: Kobe Bryant's SAT score is 1080, which we used as a base for our IQ estimation.
1️⃣ SAT to IQ Conversion:
The SAT score provided an initial IQ estimate of around 113.
2️⃣ Calculating the Standard Error:
The correlation between SAT scores and IQ is 0.8. To account for the 20% unexplained variance, we calculate the standard error (SE) as SE = SD × √(1 - r²), where SD is the standard deviation of IQ scores (15). This results in a SE of approximately 9.
3️⃣ Determining the Margin of Error:
For a 95% confidence interval, we use a z-score of 1.96. The margin of error (MOE) is calculated using MOE = z * SE. Thus, MOE = 1.96 × 9 ≈ 18.
4️⃣ Final Result:
Adding and subtracting the MOE from the estimated IQ, we determine the 95% confidence interval. Therefore, Kobe Bryant's IQ is estimated to be 113 with a 95% confidence interval of approximately 113 ± 18, which translates to a range from about 95 to 131.