Thank you for visiting Assume that adults have IQ scores that are normally distributed with a mean of 100 2 and a standard deviation of 22 4 Find the. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
To find the first quartile, calculate the Z-score and use it to solve for the IQ score. The first quartile IQ score separating the bottom 25% from the top 75% is approximately 85.6. The correct option is (A).
Explanation:
First Quartile (Q1 Calculation):
- Calculate the Z-score for the first quartile using the formula: Z = (Q1 - Mean) / Standard Deviation.
- Find the Z-score that corresponds to the first quartile, which is approximately -0.6745.
- Substitute the values into the Z-score formula: -0.6745 = (Q1 - 100.2) / 22.4 to solve for Q1, which results in Q1 ≈ 85.6.
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