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IV. In a 55-point exam, 55 students got the following scores. Class interval fx X fd d 16-21 22-27 28-33 34-39 40-45 46-51 52-57 f 7 24 13 5 4 1 1 n= eqton 2 WAT elyrosinado bt XT Σfx= fd =

IV. In a 55-point exam, 55 students got the following scores. Class interval fx X fd d 16-21 22-27 28-33 34-39 40-45 46-51 52-57 f 7 24 13 5 4 1 1 n= eqton 2 WAT elyrosinado bt XT Σfx= fd =

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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**Title: Frequency Distribution Table for Exam Scores** **Introduction:** This table presents the distribution of scores obtained by 55 students in a 55-point exam. The scores are grouped into class intervals, with corresponding frequencies and columns for further calculations. Understanding this table will help in grasping basic concepts in statistics such as frequency distribution, class intervals, and the calculation of measures like mean and standard deviation. **Frequency Distribution Table:** | Class Interval | Frequency (f) | Midpoint (x) | f * x | Deviation (d) | f * d | |----------------|---------------|--------------|-------|---------------|-------| | 16 – 21 | 7 | | | | | | 22 – 27 | 24 | | | | | | 28 – 33 | 13 | | | | | | 34 – 39 | 5 | | | | | | 40 – 45 | 4 | | | | | | 46 – 51 | 1 | | | | | | 52 – 57 | 1 | | | | | **Total:** n = \(\sum fx =\) \(\sum fd = \) **Explanation:** - **Class Interval (16 – 21, 22 – 27, etc.):** This column represents the range of scores grouped into intervals. - **Frequency (f):** This column shows the number of students who scored within each class interval. - **Midpoint (x):** This column is to be filled with the midpoints of the corresponding class intervals. The midpoint is calculated as \((\text{Lower limit} + \text{Upper limit}) / 2\). - **f * x:** This column is for the product of frequency and midpoint. - **Deviation (d):** This column is intended for deviations, calculated as \(x - \text{mean}\), where mean is typically the average score. - **f * d:** This column is for the product of frequency and deviation. **Conclusion:** To fully interpret such tables, it is important to understand how to calculate each element. This table serves as a foundational tool in statistics to organize data and compute various statistical measures
Transcribed Image Text:**Title: Frequency Distribution Table for Exam Scores** **Introduction:** This table presents the distribution of scores obtained by 55 students in a 55-point exam. The scores are grouped into class intervals, with corresponding frequencies and columns for further calculations. Understanding this table will help in grasping basic concepts in statistics such as frequency distribution, class intervals, and the calculation of measures like mean and standard deviation. **Frequency Distribution Table:** | Class Interval | Frequency (f) | Midpoint (x) | f * x | Deviation (d) | f * d | |----------------|---------------|--------------|-------|---------------|-------| | 16 – 21 | 7 | | | | | | 22 – 27 | 24 | | | | | | 28 – 33 | 13 | | | | | | 34 – 39 | 5 | | | | | | 40 – 45 | 4 | | | | | | 46 – 51 | 1 | | | | | | 52 – 57 | 1 | | | | | **Total:** n = \(\sum fx =\) \(\sum fd = \) **Explanation:** - **Class Interval (16 – 21, 22 – 27, etc.):** This column represents the range of scores grouped into intervals. - **Frequency (f):** This column shows the number of students who scored within each class interval. - **Midpoint (x):** This column is to be filled with the midpoints of the corresponding class intervals. The midpoint is calculated as \((\text{Lower limit} + \text{Upper limit}) / 2\). - **f * x:** This column is for the product of frequency and midpoint. - **Deviation (d):** This column is intended for deviations, calculated as \(x - \text{mean}\), where mean is typically the average score. - **f * d:** This column is for the product of frequency and deviation. **Conclusion:** To fully interpret such tables, it is important to understand how to calculate each element. This table serves as a foundational tool in statistics to organize data and compute various statistical measures
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