Frequency Distribution Table Handout
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The document provides an overview of frequency distribution tables for grade 8 mathematics, detailing both ungrouped and grouped frequency distributions. It outlines steps to construct a grouped frequency distribution, including calculating range, class size, and frequency, along with definitions of important terms such as range, frequency, and class boundaries. Additionally, it includes an assignment for constructing a frequency distribution table based on a given set of data.
Frequency Distribution Table Handout
- 1. University of Santo Tomas Junior High School GRADE 8 MATHEMATICS First Quarter S.Y. 2015 – 2016 “DO NO HARM.” Notes # 9 CN: ________ NAME: ________________________________________________________________________________________ DATE: SEPTEMBER 02, 2015 SECTION:_________________________________________________________________ TEACHER:__________________________________________ HANDOUT: Frequency Distribution Table Frequency Distribution – It is a collection of observations produced by sorting them into classes and showing their frequency (or numbers) of occurrences in each class A. Ungrouped Frequency Distribution – It results when observations are sorted into _______________________________________________________________. B. Grouped Frequency Distribution – It results when observations are sorted into _______________________________________________________________. Steps in Constructing a Grouped Frequency Distribution Table: 1. Find the range. Formula: R = _________________________ 2. Decide on the number of classes. A ____________ is a grouping or category. Statisticians said that the ideal number of classes is between 5 and 20. 3. Determine the class size or class width (i). ____________________________ is the size of each class. *Note: Class widths are always rounded up. Formula: i = ________________________________ desired number of classes 4. Determine the classes. 5. Tally the observations. 6. Determine the frequency. Challenge yourself! Height of 45 Grade 8 students in cm 170 185 193 169 187 177 165 173 167 173 190 164 175 185 190 178 170 172 178 187 164 190 186 165 165 161 155 176 180 167 189 160 180 164 171 162 185 155 163 165 184 189 170 180 180 Class Tally f Xm f Xm LB UB <cf >cf 7. Find the class marks of each class. 8. Determine the class boundaries. 9. Create columns for the cumulative frequencies. Committed to Truth; ……Enkindled by Charity
- 2. University of Santo Tomas Junior High School GRADE 8 MATHEMATICS First Quarter S.Y. 2015 – 2016 “DO NO HARM.” Notes # 9 Important Terms: Range – the difference between the highest and lowest score in a set of data. Frequency – the number of observations belonging to a class interval. Class Intervals or Class Limits – refers to a grouping defined by a lower limit and an upper limit. The lower limit of a class is the smallest data value that can be included in the class, and the upper limit is the largest data value that can be included in the class. For example: In the class 19 – 21: lower limit = ________ upper limit = ________ In the class 45 – 47: lower limit = ________ upper limit = ________ Class Boundaries – These are often described as the true limits because these are more precise expressions of class limits. The lower boundary of a class is 0.5 less than its lower limit, and the upper boundary is 0.5 more than its upper limit. For example: In the class 19 – 21: lower boundary = ________ upper boundary = ________ In the class 45 – 47: lower boundary = ________ upper boundary = ________ Class Mark – It is the midpoint or the middle value in a class. It is obtained by finding the average of the lower limit and the upper limit. Class Size or Class Width – refers to the difference between the upper class boundary and the lower class boundary of a class interval. Cumulative Frequency – shows how many scores fall below or above a certain level Assignment for September 03, 2015 Construct a frequency distribution table for the following set of data. 29 27 28 27 34 29 27 27 28 25 23 35 25 29 33 23 27 33 27 22 40 27 21 29 22 25 29 25 21 20 21 23 25 30 20 28 30 29 28 30 27 27 27 19 30