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Given the frequency distribution below, compute the group mean: Frequency Class Mark Class Interval Class Boundaries Tally (xm) 10.5-15.5 10-16 8 13 16.5 21.5 16-22 //// 4 19 22.5 27.5 22-28 // 2 25 28.5-33.5 28-34 5 31 34.5-39.5 34-40 3 37 표 40.5 45.5 40-46 2 43 -1 ni f.xm

Given the frequency distribution below, compute the group mean: Frequency Class Mark Class Interval Class Boundaries Tally (xm) 10.5-15.5 10-16 8 13 16.5 21.5 16-22 //// 4 19 22.5 27.5 22-28 // 2 25 28.5-33.5 28-34 5 31 34.5-39.5 34-40 3 37 표 40.5 45.5 40-46 2 43 -1 ni f.xm

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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CONCEPT NOTES: Measures of Central Tendency of Grouped Data Arranging the ungrouped data set into frequency distribution table makes it a grouped data. Here, individual data loses its identity since it's now classified as classes of intervals. Hence, we can't calculate the mean, median, and mode in the same way we calculated it when the data set is still ungrouped. Like the ungrouped data, we can calculate the mean, median, and mode of the grouped data. However, to distinguish these terms from grouped data, we must use the term group mean, group median, and group mode to refer to measures of central tendency of grouped data. Below is the frequency distribution table generated: Class Interval Frequency Class Mark Tally ///-// 10-16 8 13. 16-22 //// 4 19 22-28 2 25 28-34 5 31 34-40 /// 3 37 40-46 // 2 43 n = 24 The above table is a grouped data. Any data set organized into frequency distribution table produces a grouped data. Let's calculate its group mean, group median, and group mode.
Transcribed Image Text:CONCEPT NOTES: Measures of Central Tendency of Grouped Data Arranging the ungrouped data set into frequency distribution table makes it a grouped data. Here, individual data loses its identity since it's now classified as classes of intervals. Hence, we can't calculate the mean, median, and mode in the same way we calculated it when the data set is still ungrouped. Like the ungrouped data, we can calculate the mean, median, and mode of the grouped data. However, to distinguish these terms from grouped data, we must use the term group mean, group median, and group mode to refer to measures of central tendency of grouped data. Below is the frequency distribution table generated: Class Interval Frequency Class Mark Tally ///-// 10-16 8 13. 16-22 //// 4 19 22-28 2 25 28-34 5 31 34-40 /// 3 37 40-46 // 2 43 n = 24 The above table is a grouped data. Any data set organized into frequency distribution table produces a grouped data. Let's calculate its group mean, group median, and group mode.
Group Mean (denoted by x) To calculate the group mean, we use the CLASS MARK METHOD FORMULA: Σ(f.xm) where: f is the frequency of the class interval is the class mark of the class interval n is the total number of observations or frequency Συ is the sum of the product of each frequency and corresponding class mark Given the frequency distribution below, compute the group mean: Class Class Frequency Class Mark Tally f.xm Interval Boundaries 10.5 15.5 10-16 8 13 16.5 21.5 16-22 4 19 22.5 27.5 22-28 // 2 25 28.5-33.5 28-34 5 31 34.5-39.5 34-40 /// 3 37 40.5 45.5 40-46 // 2 43 22=1 Συγχα
Transcribed Image Text:Group Mean (denoted by x) To calculate the group mean, we use the CLASS MARK METHOD FORMULA: Σ(f.xm) where: f is the frequency of the class interval is the class mark of the class interval n is the total number of observations or frequency Συ is the sum of the product of each frequency and corresponding class mark Given the frequency distribution below, compute the group mean: Class Class Frequency Class Mark Tally f.xm Interval Boundaries 10.5 15.5 10-16 8 13 16.5 21.5 16-22 4 19 22.5 27.5 22-28 // 2 25 28.5-33.5 28-34 5 31 34.5-39.5 34-40 /// 3 37 40.5 45.5 40-46 // 2 43 22=1 Συγχα
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