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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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**Transcription for Educational Website:** --- **Title: Understanding the Bell Curve in SAT Critical Reading Scores** **Objective:** To sketch a bell curve for the SAT critical reading data marking on the horizontal axis for: - ±1 standard deviation - ±2 standard deviations - ±3 standard deviations **Instructions:** 1. **Sketch a Bell Curve:** - Draw a symmetrical bell-shaped curve on a graph paper to represent the distribution of SAT critical reading scores. 2. **Mark the Mean (Center) Point:** - Identify the peak point of the curve, which represents the mean (average score) of the SAT critical reading data. 3. **Mark Standard Deviations:** - On the horizontal axis (x-axis), evenly space out three standard deviation intervals on both sides of the mean. - **±1 Standard Deviation:** - Mark two points, one to the right (+1 standard deviation) and one to the left (-1 standard deviation) from the mean. - **±2 Standard Deviations:** - Mark two more points further away from the mean at two standard deviations right (+2 standard deviations) and left (-2 standard deviations). - **±3 Standard Deviations:** - Mark two additional points further away from the mean at three standard deviations right (+3 standard deviations) and left (-3 standard deviations). ### Explanation of Diagram: - **Horizontal Axis:** - It represents the range of SAT critical reading scores. - The mean is situated at the center. - Points at ±1, ±2, and ±3 standard deviations should be labeled accordingly. - **Vertical Axis:** - It represents the frequency or probability density of the scores. ### Key Points to Note: - **1 Standard Deviation (±1σ):** - Approximately 68% of the data falls within this range. - **2 Standard Deviations (±2σ):** - Approximately 95% of data falls within this range. - **3 Standard Deviations (±3σ):** - Approximately 99.7% of data falls within this range. By understanding this bell curve, students and educators can better visualize and comprehend the distribution of SAT critical reading scores and the significance of standard deviations in statistical analysis. ---
Transcribed Image Text:**Transcription for Educational Website:** --- **Title: Understanding the Bell Curve in SAT Critical Reading Scores** **Objective:** To sketch a bell curve for the SAT critical reading data marking on the horizontal axis for: - ±1 standard deviation - ±2 standard deviations - ±3 standard deviations **Instructions:** 1. **Sketch a Bell Curve:** - Draw a symmetrical bell-shaped curve on a graph paper to represent the distribution of SAT critical reading scores. 2. **Mark the Mean (Center) Point:** - Identify the peak point of the curve, which represents the mean (average score) of the SAT critical reading data. 3. **Mark Standard Deviations:** - On the horizontal axis (x-axis), evenly space out three standard deviation intervals on both sides of the mean. - **±1 Standard Deviation:** - Mark two points, one to the right (+1 standard deviation) and one to the left (-1 standard deviation) from the mean. - **±2 Standard Deviations:** - Mark two more points further away from the mean at two standard deviations right (+2 standard deviations) and left (-2 standard deviations). - **±3 Standard Deviations:** - Mark two additional points further away from the mean at three standard deviations right (+3 standard deviations) and left (-3 standard deviations). ### Explanation of Diagram: - **Horizontal Axis:** - It represents the range of SAT critical reading scores. - The mean is situated at the center. - Points at ±1, ±2, and ±3 standard deviations should be labeled accordingly. - **Vertical Axis:** - It represents the frequency or probability density of the scores. ### Key Points to Note: - **1 Standard Deviation (±1σ):** - Approximately 68% of the data falls within this range. - **2 Standard Deviations (±2σ):** - Approximately 95% of data falls within this range. - **3 Standard Deviations (±3σ):** - Approximately 99.7% of data falls within this range. By understanding this bell curve, students and educators can better visualize and comprehend the distribution of SAT critical reading scores and the significance of standard deviations in statistical analysis. ---
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