This is a handout which consists of the basic concepts/terms about Frequency Distribution Table. It also includes the ways on how to properly construct a Frequency Distribution Table.

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