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THE FREQUENCY
DISTRIBUTION TABLE
a. Define frequency distribution table;
b. Organize the data collected using
frequency distribution table;
c.Construct a frequency distribution
table given a set of data.
FREQUENCY DISTRIBUTION
FREQUENCY DISTRIBUTION refers to
the table that shows an item and its
frequency.
It is developed by counting or tallying
how often each data value occurs.
Ungrouped data is data given as
individual data points.
Grouped data are framed by
amassing singular perceptions of a
variable into gatherings.
Data as Ungrouped or Grouped.
Sample Raw Data
GREEN RED RED VIOLET
PINK YELLOW PINK GREEN
BLUE BLACK PINK RED
VIOLET GREEN BLUE BLUE
GREEN PINK BLUE PINK
BLACK BLUE RED PINK
GREEN GREEN BLUE YELLOW
BLACK YELLOW
Direction: Construct a
frequency distribution table
using the given data below and
answer the following
questions.
The following is the results of the
survey about the favorite social media
apps of students of SSS National High
School.
FACEBOOK
TWITTER
FACEBOOK
TIKTOK
INSTAGRAM
TUMBLER
PINTEREST
TWITTER
FACEBOOK
TIKTOK
SNAPCHAT
TUMBLER
INSTAGRAM
TIKTOK
TIKTOK
TIKTOK
TIKTOK
TIKTOK
INSTAGRAM
TIKTOK
FACEBOOK
TIKTOK
INSTAGRAM
FACEBOOK
SNAPCHAT
SNAPCHAT
INSTAGRAM
FACEBOOK
SNAPCHAT
FACEBOOK
SOCIAL
MEDIA APPS
TALLY FREQUENCY
FACEBOOK IIII -II 7
INSTAGRAM IIII 5
PINTEREST I 1
SNAPCHAT IIII 4
TIKTOK IIII- IIII 9
TUMBLER II 2
TWITTER II 2
QUESTIONS:
a. How many students
participated in the survey?
b. What is the difference
between FB and TIKTOK
users?
c. Which is not commonly
used?
d. How many uses TIKTOK?
e. Which social media apps
is mostly used?
FREQUENCY
DISTRIBUTION OF A
QUANTITATIVE DATA
Below are the 1st quarter test scores of 40 Grade
7 students in Mathematics. Prepare a frequency
distribution table for the data.
25 27 35 26 26 43 39 27 31 36
38 41 40 38 32 38 37 33 46 41
29 45 28 29 40 40 42 31 35 46
39 31 35 34 41 42 29 43 39 31
25 27 35 26 26 43 39 27 31 36
38 41 40 38 32 38 37 33 46 41
29 45 28 29 40 40 42 31 35 46
Step 1: Solve for RANGE
Subtract the lowest value from the highest
value.
Range = highest value – lowest value
Step 2: Set the desired number of classes
Decide on the number of class interval
desired. (usually 5 - 15).
Step 3: Solve for the class width or class size
i
Divide the range by the desired number of
class interval to determine the size of the class
interval.
Step 4: Make the first class interval.
Include the smallest value of the data. (Ex.
25-28)
Step 5. Identify the class limits (apparent limits)
Class limit is the highest and lowest values
describing a class. (Example: The class intervals
are 19 – 23, 24 – 28, 29 – 33...
Step 6. Determine the frequency of each class
interval by counting the mark tally
Class Interval Class
Boundaries
Tally Frequency Class
Mark
45-48
41-44
37-40
33-36
29-32
25-28
Step 6. Determine the frequency of each class
interval by counting the mark tally
Step 7. Distribute data in classes.
The column for tally is optional.
Class Interval Class
Boundaries
Tally Frequency Class
Mark
45-48 III 3
41-44 IIII-II 7
37-40 IIII-IIII 10
33-36 IIII-I 6
29-32 IIII-III 8
25-28 IIII-I 6
To find CLASS BOUNDARY, add 0.5 to the
upper class limit and subtract 0.5 to the
lower class limit.
The CLASS MARK is the midpoint of the
class. It can be found by getting the average
of the class limits.
For example, the class mark for 45-48
can be solved by
45+48
2
=
93
2
= 46.5
On a ½ sheet of paper,
illustrate and solve the
following problems
accurately. Label your
Supposed these are the raw scores of 30 students
in a 20-item quiz and you are about to organize
and construct a frequency distribution table.
(desired number of classes = 5)
5 13 11 9 15
20 16 12 11 8
4 9 13 7 15
19 9 6 8 13
11 12 11 7 9
12 15 17 11 6
5 13 11 9 15
20 16 12 11 8
4 9 13 7 15
19 9 6 8 13
11 12 11 7 9
Supposed these are the 1ST Quarter
Mathematics Grades of 30 students in
XXX National High School. Organize
and construct a frequency
distribution table.
96 98 95 95
78 91 91 90
86 88 89 87
85 85 85 85
82 81 75 74
G7-  ORGANIZATION OF FREQUENCY TABLE.pptx

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G7- ORGANIZATION OF FREQUENCY TABLE.pptx

  • 1.
  • 2.
  • 3.
  • 5. a. Define frequency distribution table; b. Organize the data collected using frequency distribution table; c.Construct a frequency distribution table given a set of data.
  • 6.
  • 7.
  • 8. FREQUENCY DISTRIBUTION FREQUENCY DISTRIBUTION refers to the table that shows an item and its frequency. It is developed by counting or tallying how often each data value occurs.
  • 9. Ungrouped data is data given as individual data points. Grouped data are framed by amassing singular perceptions of a variable into gatherings. Data as Ungrouped or Grouped.
  • 10. Sample Raw Data GREEN RED RED VIOLET PINK YELLOW PINK GREEN BLUE BLACK PINK RED VIOLET GREEN BLUE BLUE GREEN PINK BLUE PINK BLACK BLUE RED PINK GREEN GREEN BLUE YELLOW BLACK YELLOW
  • 11.
  • 12. Direction: Construct a frequency distribution table using the given data below and answer the following questions.
  • 13. The following is the results of the survey about the favorite social media apps of students of SSS National High School.
  • 15. SOCIAL MEDIA APPS TALLY FREQUENCY FACEBOOK IIII -II 7 INSTAGRAM IIII 5 PINTEREST I 1 SNAPCHAT IIII 4 TIKTOK IIII- IIII 9 TUMBLER II 2 TWITTER II 2 QUESTIONS: a. How many students participated in the survey? b. What is the difference between FB and TIKTOK users? c. Which is not commonly used? d. How many uses TIKTOK? e. Which social media apps is mostly used?
  • 17. Below are the 1st quarter test scores of 40 Grade 7 students in Mathematics. Prepare a frequency distribution table for the data. 25 27 35 26 26 43 39 27 31 36 38 41 40 38 32 38 37 33 46 41 29 45 28 29 40 40 42 31 35 46 39 31 35 34 41 42 29 43 39 31
  • 18. 25 27 35 26 26 43 39 27 31 36 38 41 40 38 32 38 37 33 46 41 29 45 28 29 40 40 42 31 35 46
  • 19. Step 1: Solve for RANGE Subtract the lowest value from the highest value. Range = highest value – lowest value
  • 20. Step 2: Set the desired number of classes Decide on the number of class interval desired. (usually 5 - 15). Step 3: Solve for the class width or class size i Divide the range by the desired number of class interval to determine the size of the class interval.
  • 21. Step 4: Make the first class interval. Include the smallest value of the data. (Ex. 25-28) Step 5. Identify the class limits (apparent limits) Class limit is the highest and lowest values describing a class. (Example: The class intervals are 19 – 23, 24 – 28, 29 – 33...
  • 22. Step 6. Determine the frequency of each class interval by counting the mark tally Class Interval Class Boundaries Tally Frequency Class Mark 45-48 41-44 37-40 33-36 29-32 25-28
  • 23. Step 6. Determine the frequency of each class interval by counting the mark tally
  • 24. Step 7. Distribute data in classes. The column for tally is optional. Class Interval Class Boundaries Tally Frequency Class Mark 45-48 III 3 41-44 IIII-II 7 37-40 IIII-IIII 10 33-36 IIII-I 6 29-32 IIII-III 8 25-28 IIII-I 6
  • 25. To find CLASS BOUNDARY, add 0.5 to the upper class limit and subtract 0.5 to the lower class limit. The CLASS MARK is the midpoint of the class. It can be found by getting the average of the class limits. For example, the class mark for 45-48 can be solved by 45+48 2 = 93 2 = 46.5
  • 26.
  • 27. On a ½ sheet of paper, illustrate and solve the following problems accurately. Label your
  • 28. Supposed these are the raw scores of 30 students in a 20-item quiz and you are about to organize and construct a frequency distribution table. (desired number of classes = 5) 5 13 11 9 15 20 16 12 11 8 4 9 13 7 15 19 9 6 8 13 11 12 11 7 9 12 15 17 11 6
  • 29. 5 13 11 9 15 20 16 12 11 8 4 9 13 7 15 19 9 6 8 13 11 12 11 7 9
  • 30. Supposed these are the 1ST Quarter Mathematics Grades of 30 students in XXX National High School. Organize and construct a frequency distribution table.
  • 31. 96 98 95 95 78 91 91 90 86 88 89 87 85 85 85 85 82 81 75 74

Editor's Notes

  1. FREQUENCY refers to the number of times a value occurs.
  2. For the given set of data, assume that the desired number of classes is 6.
  3. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  4. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  5. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  6. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  7. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  8. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  9. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  10. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  11. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.
  12. The class intervals are 19 – 23, 24 – 28, 29 – 33, 34 – 38, 39 – 43, 44 – 48, and 49 – 53.