The task involves finding the first quartile (Q₁) of IQ scores, which are normally distributed with a mean of 103.6 and a standard deviation of 19.3. The first quartile, Q₁, represents the IQ score separating the bottom 25% from the top 75% (Hint: Draw a graph).### Steps to Find the First Quartile (Q₁):1. **Understand Normal Distribution:** - Mean (μ) = 103.6 - Standard Deviation (σ) = 19.32. **Determine the Z-Score:** - For the first quartile (25th percentile), use a Z-table or calculator to find the Z-score corresponding to 0.25 probability.3. **Calculate Q₁:** - Use the formula: Q₁ = μ + Zσ - Substitute the known values to find the IQ score at the first quartile.### Explanation of Graphs and Diagrams:- **Normal Distribution Curve:** - Plot a bell-shaped curve, with the mean (103.6) at the center. - Highlight the area under the curve to the left up to the 25th percentile to visually show the first quartile. By following these steps and using the normal distribution properties, the first quartile score can be accurately found.

given data ,normal distribution μ=103.6σ=19.3first quartile for given data =?

Answered: Assume that adults have IQ scores that…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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Assume that adults have IQ scores that are normally distributed with a mean of 103.6 and a standard deviation score separating the bottom 25% from the top 75%. (Hint: Draw a graph.) The first quartile is (Type an integer or decimal rounded to one decimal place as needed.) ind the first Q2₁.