**Sketch a Bell Curve for SAT Mathematics Data**To create a bell curve (normal distribution) for the SAT mathematics data, you'll need to mark the horizontal axis with the standard deviations from the mean. Below are the detailed instructions:1. **Draw the Axes:** - Draw a horizontal line to represent the x-axis, which will correspond to SAT mathematics scores. - Draw a vertical line to represent the y-axis, which will correspond to the frequency or probability of the scores.2. **Mark the Mean:** - Identify and mark the mean (average) SAT mathematics score on the x-axis. This is the highest point of the bell curve and is typically denoted as μ.3. **Mark Standard Deviations:** - You need to mark ±1, ±2, and ±3 standard deviations (σ) from the mean on the horizontal axis. - These points represent how scores are distributed around the mean.4. **Sketch the Bell Curve:** - Draw a symmetrical bell-shaped curve centered at the mean. It should touch the x-axis at both ends and peak at the mean. - Label the points at the mean, ±1σ, ±2σ, and ±3σ.**Explanation of the Bell Curve:**- The area under the bell curve represents the total probability and is equal to 1.- Approximately 68% of the data lies within ±1 standard deviation (σ) from the mean.- Approximately 95% of the data lies within ±2σ.- Approximately 99.7% of the data lies within ±3σ.This sketch helps to visualize how SAT mathematics scores are distributed among students, providing insights into the average performance and the variability of scores.

The SAT mathematics data with markings on the horizontal axis for standard deviation, standard…

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Sketch a bell curve for the SAT mathematics data with markings on the horizontal axis for ±1 standard deviation, ±2 standard deviations, and ±3 standard deviations.