4
Mathematics Activity Sheet
     Quarter 4 – MELC 7
Collecting Data on Two Variables Using Any Source
          REGION VI – WESTERN VISAYAS
Mathematics 4
Activity Sheet No. 7
First Edition, 2021
Published in the Philippines
By the Department of Education
Region 6 – Western Visayas
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                   Development Team of Mathematics Activity Sheet
     Writer:             Jenny R. Delgado
     Quality Assurance Team Members:
                         Buenafe R. Casugbu
                         Aric V. Barrientos
                         Niño Jojie B. Catuiran
     Layout Artist:      Christine Joy P. Traje
     Schools Division Quality Assurance Team:
                         Edselyn T. Biray
                         Buenafe R. Casugbu
     Division of Aklan Management Team:
                         Miguel Mac D. Aposin
                         Samuel J. Malayo
                         Dobie P. Parohinog
                         Edselyn T. Biray
                         Mahnnie Q. Tolentino
     Regional Management Team:
                         Ramir B. Uytico
                         Pedro T. Escobarte, Jr.
                         Elena P. Gonzaga
                         Donald T. Genine
                         Adonis A. Mosquera
                                                                             Quarter 4
                                                                              Week 4
                 LEARNING ACTIVITY SHEET No. 7
Name of Learner:_______________________ Grade & Section: _______________
                                        Date: ________________________
       COLLECTING DATA ON TWO VARIABLES USING ANY SOURCE
I.    Learning Competency with Code
          Collecting Data on Two Variables Using Any Source (M4SP-IVg-1.4)
II.   Background Information for Learners
            This Learning Activity Sheet for the week deals with data collection. Data
      are collected pieces of information. Data gathering helps us to collect
      information in an organized manner. When collecting data, whether you collect
      that data from the internet or from talking to people, we need to keep track of
      that data. Using a frequency table helps us to record, clarify and easily find what
      we are looking for our data. In a tally table, tally marks ( l ) are used to record
      data, while in a frequency table, numbers are used instead of tally marks.
           To make a frequency table:
           a. Arrange the data in order
           b. Make a tally
           c. Count the tallies. Write the frequencies.
           d. Total all the frequencies.
           One of the first steps we follow after gathering data is to arrange the
      numbers in ascending or descending order. In this way, we can easily see the
      highest and lowest values.
                                           1
Example 1:
             Mrs. Delgado administered a summative test in Mathematics in her
              Grade 4 – Sapphire class. The scores are shown below.
    15                  17                  20                  16             19
    18                  17                  15                  17             20
    17                  18                 18                   18             20
    18                  20                  19                  19             19
      Look at the scores in the box.
      1. What is the information about?
      2. What do numbers inside the box represent?
      3. Do you have an idea how to organize the given information?
      4. Can you easily tell how many pupils got a score of 15? 16? Why?
      5. What is the highest score?
      6. The next score?
      7. The lowest score?
      8. Which score has the most number of pupils who got it?
      9. How many pupils took the test?
      Now, let us collect the data and organize it in a tally table.
                   Scores in Achievement Test in Mathematics 4
           Score                         Tally                         Total
            20                            IIII                          4
            19                            IIII                          4
            18                            IIII                          5
            17                            IIII                          4
            16                             I                            1
            15                             II                           2
           Total                                                        20
       Now, looking at the table you can easily see the number of pupils who got 20.
We can get the data from the tally chart and present in a table.
               Score                    Number of pupils who got the score
                20                                      4
                19                                      4
                18                                      5
                17                                      4
                16                                      1
                15                                      2
               Total                                    20
                                           2
      1. What is the information about?
             The information / data is all about the scores of pupils in a summative
         test in Mathematics administered by Mrs. Delgado.
      2. What do numbers inside the box represent?
           The numbers inside the box represent the scores of every pupil.
      3. Can you easily tell how many pupils got a score of 15? 16? Why?
            Yes, because the scores were arranged in the tally table in a descending
         order.
      4. What is the highest score?
           The highest score is 20.
      5. The next score?
            Next score is 19.
      6. The lowest score?
            The lowest score is 15.
      7. Which score has the most number of pupils who got it?
           The score that the most number of pupils got is 18.
      8. How many pupils took the test?
           There are 20 pupils who took the test.
Example 2:
   Franz has a part-time job at the Body Fit Gym. His boss Josaiah wants to know
    the ages of the teenagers in the center’s taekwondo class. Franz records the
         ages of everyone in the class. Below are the ages of the teenagers.
                        Ages of students in the taekwondo class
           14      15     18      16         13     15    16      17      16
           15      18     17      14         16     13    16      17      19
      a.   How many teenagers are attending the taekwondo class?
      b.   What is the age of the oldest member of the taekwondo class?
      c.   What is the age of the youngest member of the taekwondo class?
      d.   How many teenagers belong to ages 13 to 15?
      e.   How many students have an age greater than 15?
                                         3
        First, let us make a tally table.
                 Age                    Tally      Number of Students
                  19                       I               1
                  18                      II               2
                  17                      III              3
                  16                     IIII              5
                  15                      III              3
                  14                      II               2
                  13                      II               2
                TOTAL                                     18
       a. How many teenagers are attending the taekwondo class?
            There are 18 teenagers attending in the taekwondo class.
       b. What is the age of the oldest member of the taekwondo class?
            The age of the oldest member of the taekwondo class is 19 years old.
       c. What is the age of the youngest member of the taekwondo class?
            The age of the youngest member is 13.
       d. How many teenagers belong to ages 13 to 15?
            There are 7 teenagers who belong to ages to 15.
       e. How many students have an age greater than 15?
             Using the table above, the ages greater than 15 include students with
          ages 16 to 19 with 5, 3, 2 and 1 number of students respectively. So, we
          have 11 students with age greater than 15.
III.   Accompanying DepEd Textbook
            Mathematics 4 Learner’s Material, pp. 345 - 348
            Mathematics 4 Teacher’s Guide, pp. 323 - 328
            21st Century Mathletes 6 Textbook, pp. 317 - 323
                                            4
IV.   Activity Proper
      1. Exercises / Activities
      Exercise 1
       The table below shows the favorite subjects in school of selected Grade 4 pupils
of Puis Elementary School. Complete the tally table below then answer the following
questions.
                 Favorite School Subjects of Selected Grade 4 Pupils of
                               Puis Elementary School
                Subject                        Tally              Frequency
                English                      IIII IIII
                 Math                       IIII IIII I
                Science                    IIII IIII II
                Filipino                IIII IIII IIII I
                T. L. E.                   IIII IIII II
                MAPEH                   IIII IIII IIII II
                 Total
      1.   What is the most favorite subject of the selected Grade 4 pupils?
      2.   What is their least favorite subject?
      3.   How many pupils chose Math as their favorite school subject?
      4.   How many pupils were in the survey?
      5.   Which subjects have equal frequencies?
      Exercise 2
           Complete the tally table by using the information below then answer the
      following questions.
                          Favorite color of Grade 4 - Sapphire class
             blue            white              white        red            red
             red              pink              blue        yellow         white
             blue             red               pink         red           yellow
             pink            yellow             blue         pink           blue
             red              pink               red         blue           blue
            yellow            pink              blue         blue           red
                          Favorite color of Grade 4 - Sapphire class
                 Color                          Tally                Frequency
                  blue
                  red
                  pink
                 yellow
                 white
                 Total
                                            5
1. What is the most favorite color of the selected Grade 4 – Sapphire pupils.
2. What is their least favorite color?
3. How many pupils chose pink as their favorite color?
4. How many pupils were in the survey?
Exercise 3
   Collect the data of the different animals that can be seen in the picture.
                           Different Animals
                 Animals                  Tally              Total
        1.   Cow
        2.   Goat
        3.   Carabao
        4.   Horse
        5.   Pig
        6.   Chicken
        7.   Duck
                 TOTAL
                                    6
                                                      7
 Exercise 1: Favorite School Subjects of Selected Grade 4 Pupils of Puis Elementary School
               Subject                               Tally                         Frequency
               English                              IIII IIII                          9
                Math                              IIII IIII I                          11
               Science                           IIII IIII II                          12
               Filipino                        IIII IIII IIII I                        16
               T. L. E.                          IIII IIII II                          12
               MAPEH                          IIII IIII IIII II                        17
               TOTAL                                                                   77
         Exercise 2:            Favorite color of Grade 4 - Sapphire class
                          Color                          Tally                  Frequency
                           blue                       IIII IIII                      9
                            red                        IIII III                      8
                           pink                         IIII I                       6
                          yellow                          IIII                       4
                          White                            III                       3
                           Total                                                    30
 Exercise 3:                                  Different Animals
                          Animals                            Tally                 Total
                1.   Cow                                         I                   1
                2.   Goat                                     IIII                   4
                3.   Carabao                                    II                   2
                4.   Horse                                      II                   2
                5.   Pig                                       III                   3
                6.   Chicken                                IIII II                  7
                7.   Duck                                      III                   3
                          TOTAL                                                     23
                                                                                   Answer Key     VI.
______________________________________________________________
                                             What are your learnings from the activities?
                                                                                     Reflection   V.
____________________________________________________________
____________________________________________________________
How to collect data on two variables using any source?
                                                                             2. Guide Questions