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For if a needed failed? X WFS 4 3 the following distribution of test Score X = 4 or higher IS passing grade, now many 2 for a f of 5 5 3 2 individuals

For if a needed failed? X WFS 4 3 the following distribution of test Score X = 4 or higher IS passing grade, now many 2 for a f of 5 5 3 2 individuals

MATLAB: An Introduction with Applications
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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--- ### Understanding Frequency Distribution in Test Scores **Question 1:** For the following distribution of test scores, if a score of X ≥ 4 or higher is needed for a passing grade, how many individuals failed? | X | f | |---|---| | 5 | 6 | | 4 | 5 | | 3 | 5 | | 2 | 3 | | 1 | 2 | In this question, students are asked to determine the number of individuals who scored below 4. These individuals are considered to have failed the test. **Solution:** - Scores below 4 are 3, 2, and 1. - The frequency (f) for these scores: - X = 3: f = 5 - X = 2: f = 3 - X = 1: f = 2 - Total number of individuals who failed: - 5 (X=3) + 3 (X=2) + 2 (X=1) = 10 individuals **Answer:** 10 individuals failed. **Question 2:** For the following distribution, what percentage of individuals have scores of X = 2? | X | f | |---|---| | 5 | 6 | | 4 | 5 | | 3 | 8 | | 2 | 3 | | 1 | 2 | To find the percentage of individuals with scores of X = 2: **Solution:** - Total number of individuals: 6 + 5 + 8 + 3 + 2 = 24 - Number of individuals with a score of X = 2: 3 - Percentage: (3 / 24) * 100 = 12.5% **Answer:** 12.5% of individuals have scores of X = 2. **Question 3:** A set of scores ranges from a high of X = 20 to a low of X = 1. If these scores were put in a grouped frequency distribution table, what would be the best choice for the interval width? To decide on the best interval width, consider the range and a convenient number of intervals. **Solution:** - Range: 20 - 1 = 19 - A common guideline is to use between 5 to 20 intervals. - Possible interval width =
Transcribed Image Text:--- ### Understanding Frequency Distribution in Test Scores **Question 1:** For the following distribution of test scores, if a score of X ≥ 4 or higher is needed for a passing grade, how many individuals failed? | X | f | |---|---| | 5 | 6 | | 4 | 5 | | 3 | 5 | | 2 | 3 | | 1 | 2 | In this question, students are asked to determine the number of individuals who scored below 4. These individuals are considered to have failed the test. **Solution:** - Scores below 4 are 3, 2, and 1. - The frequency (f) for these scores: - X = 3: f = 5 - X = 2: f = 3 - X = 1: f = 2 - Total number of individuals who failed: - 5 (X=3) + 3 (X=2) + 2 (X=1) = 10 individuals **Answer:** 10 individuals failed. **Question 2:** For the following distribution, what percentage of individuals have scores of X = 2? | X | f | |---|---| | 5 | 6 | | 4 | 5 | | 3 | 8 | | 2 | 3 | | 1 | 2 | To find the percentage of individuals with scores of X = 2: **Solution:** - Total number of individuals: 6 + 5 + 8 + 3 + 2 = 24 - Number of individuals with a score of X = 2: 3 - Percentage: (3 / 24) * 100 = 12.5% **Answer:** 12.5% of individuals have scores of X = 2. **Question 3:** A set of scores ranges from a high of X = 20 to a low of X = 1. If these scores were put in a grouped frequency distribution table, what would be the best choice for the interval width? To decide on the best interval width, consider the range and a convenient number of intervals. **Solution:** - Range: 20 - 1 = 19 - A common guideline is to use between 5 to 20 intervals. - Possible interval width =
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