(a) What percent of the scores are less than 19? (b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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### Normal Distribution Questions and Visualization

#### Instructions:
Use the normal distribution to the right to answer the questions.

**(a)** What percent of the scores are less than 19?

**(b)** Out of 1500 randomly selected scores, about how many would be expected to be greater than 21?

#### Graph/Diagram Explanation:

To the right, there is a normal distribution graph labeled *Standardized Test Composite Scores*. The horizontal axis represents the scores, and the vertical axis represents the frequency of those scores. The curve shows a typical bell-shaped normal distribution.

Key elements of the graph:
- **Mean (μ):** 20.8
- **Standard Deviation (σ):** 5.1
- There are marked scores at **19** and **21** on the x-axis.
- The area under the curve is divided to show the probability distribution around these scores.

This graph is useful in understanding the proportion of scores that lie within particular ranges. Using the properties of normal distribution, you can determine the percentages and expected counts for various score intervals.
Transcribed Image Text:### Normal Distribution Questions and Visualization #### Instructions: Use the normal distribution to the right to answer the questions. **(a)** What percent of the scores are less than 19? **(b)** Out of 1500 randomly selected scores, about how many would be expected to be greater than 21? #### Graph/Diagram Explanation: To the right, there is a normal distribution graph labeled *Standardized Test Composite Scores*. The horizontal axis represents the scores, and the vertical axis represents the frequency of those scores. The curve shows a typical bell-shaped normal distribution. Key elements of the graph: - **Mean (μ):** 20.8 - **Standard Deviation (σ):** 5.1 - There are marked scores at **19** and **21** on the x-axis. - The area under the curve is divided to show the probability distribution around these scores. This graph is useful in understanding the proportion of scores that lie within particular ranges. Using the properties of normal distribution, you can determine the percentages and expected counts for various score intervals.
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