Lessons on Populations and Samples

Populations, Samples, and Generalizing from a Sample

​

​POPULATION

​and

​SAMPLE

​LEARNING OBJECTIVES

At the end of the lesson, the learners should be able to:

1. Describe the population and sample.

2. Identify the population and possible samples in a problem.

truth or talk

Direction: Listen carefully to the statements. Answer "TRUTH" when the statement is true and "TALK" when the statement is false/wrong, then explain why it is wrong.

Open Ended

Xhyindie wants to get some data on the arm span of all the teachers in his school. “Measure using a tape measurent the arm span of all the teachers in his school” is the best thing that Xhyindie should do to get the most reliable and valid data.

Open Ended

A statistical instrument has to be costly and hi-tech.

Open Ended

In statistics, a statistical instrument is the term being used for a measurement device to acquire data.

Open Ended

Statistics can help the student in cleaning the classroom.

Open Ended

Ian plans to study the data on sports preferences of grade 7 students. Asking about whether the student likes swimming is a valid question that she can use.

choose mo nga!

​DIRECTION:

The students need to select who/which belongs to the group in the following:

Multiple Select

Bachelor of Secondary Education Major in Mathematics - Third year Students

• Aaliyah Bianca Bustos

• Sheena Mae Dadula

• Christian Paul Mirabete

• Jerlyn Fuentes

• Harold Magpantay

Multiple Select

Single (No boyfriend/girlfriend Since Birth)

• Racer Ann Gonzales

• Xhaireze Villanueva

• Hunter Mojica

• Ef Em Abbegail Rosel

• Abegail Caballes

Multiple Select

Polytechnic University of the Philippines - Alfonso Campus Admin

• Prof. Cherry Angeles

• Prof. Eva Malimban

• Instr. Rostone Aala

• Prof. Babylyn Mercado

• Instr. Karen Llamado

Multiple Select

Common Favorite Pets

• dogs

• dolphin

• cow

• cats

• deer

Multiple Choice

Most Hair Color

• Red

• Blue

• Black

• Green

• Violet

Fill in the Blank

A survey on the most likable teachers in the junior high schools of the municipality of Alfonso.

POPULATION: _____________

POSSIBLE SAMPLE: ______________

(Write your answer like this.- e.g. PUP ALFONSO CAMPUS; BSED MATH 3)

;

/

Fill in the Blank

The study habits of high school students in the municipality of Laurel.

POPULATION: _____________

POSSIBLE SAMPLE: ______________

(Write your answer like this.- e.g. PUP ALFONSO CAMPUS; BSED MATH 3)

/

TARGET POPULATION and POSSIBLE SAMPLES

1. A survey of the most popular sports of the South Cluster of the province of Batangas.

TARGET POPULATION: Most popular sports of the South Cluster of the province of Batangas.
POSSIBLE SAMPLES: Basketball
Softball
Volleyball

TARGET POPULATION and POSSIBLE SAMPLES

2. The opinions of parents about the K to 12 Curriculum.

   TARGET POPULATION: The opinions of parents about the K to 12 Curriculum.
   POSSIBLE SAMPLES: Positive views or opinion

   Negative views or opinions

TARGET POPULATION and POSSIBLE SAMPLES

3. The educational qualifications of secondary school teacher.

TARGET POPULATION: Educational qualifications of secondary school teacher.

POSSIBLE SAMPLES: Masteral Graduate
With 3-years experience of teaching

​POPULATION

​The complete set of persons or objects that possess some common characteristics that is of interest to the researchers.

Example: People of PUP - Alfonso Campus

​SAMPLES

​It is defined as a representative unit of target population which is to be worked upon by researchers during their

study.

Example:

Population: People of PUP - Alfonso Campus

Samples: 1) Students

2) Designees

3) Staffs

4) Faculties

​POPULATION and SAMPLES

​1. A survey of Filipino millennials showed that 70% of the respondents own or have ready access to a

smartphone.

Population: Filipino millennials

Sample: Filipino millennials in Batangas who own or have ready access to a smartphone.

2. A survey of BSED Math 3 students in PUP Alfonso showed that 12.5% have their own family and children.

Population: BSED Math 3 students in PUP Alfonso

Sample: Boys of BSED Math 3 in PUP Alfonso who have their own families and children.

3. A survey of girls students in the Philippines showed that 85% browse and purchase online at least once a

week.

Population: all girls in the Philippines who browse or purchase online

Sample: Girls in Alfonso who browse and purchase online

Open Ended

Direction: On half a sheet of paper, determine the population and possible sample for the following situation.

Open Ended

A student wants to know which type of of pizza high school students perfer. Which of the following options is a good, representative sample of the population?

​GENERALIZATION

Multiple Choice

A collection of information or facts obtained from any form of research; can be obtained from responses,

measurements, observations, or merely counting.

• Data Collection

• Data

• Population

• Total

Multiple Choice

Data is a collection of information or facts obtained from any form of research. It can be obtained from responses, measurements, observations, or merely counting. The following are examples of data EXCEPT one.

• GENDER

• NAME

• CIVIL STATUS

• LAPTOP

Multiple Choice

Which of the following is NOT a reason why random samples are preferred over surveying the entire population.

• A random sample allows you to survey whoever you want.

• Surveying the entire population may cost too much money.

• Surveying the entire population takes too much time.

• Surveying the entire population can be a challenge because not everyone may respond.

Multiple Choice

Which of the following is the correct meaning of SAMPLE?

• The portion of the population data.

• A collection of individual units proposed for study.

• The performance of an individual.

• The numbers of an data.

Multiple Choice

LET'S TRY THIS! A toy store owner wants to know how much kids spend each month on toys. Which choice is the best representation of the population?

• 220 wealthy kids

• all the kids who buy toys

• 100 boys ages 8-12

• 125 girls ages 10-15

​QUIZ

​DIRECTION: Answer the following questions based on what is asked. Write your answers on Google form provided.

https://docs.google.com/forms/d/e/1FAIpQLSc0M1vAntzqFXGC9Yi4l7fviAqEUqcHFv7kp_zBPp3K2IifyA/viewform?usp=pp_url

1. A school administrator is trying to determine the percentage of students who work while in school.

What is the sample?

Multiple Choice

True or False: You want to see how many students take the bus home from school. You go to the bus stop and ask students how they get home everyday. This is a good, representation of the population.

• True

• False

2. A researcher is trying to know the relationship between the educational attainment of parents and their occupation in the municipality of Alfonso.

What is the population in this situation?

3. A teacher is trying to find out the best technique to motivate students to love Math.

What is the data needs to solve problem?

• B. Compare and contrast a population from a sample

Open Ended

The United States conducts a census every 10 years. Why do you think the census is important in the United States?

ASSIGNMENT
1. Clip or copy an article about a survey conducted locally. Highlight the population and underline the sample. Compare and contrast the population and the sample of the survey.

2. Study: Classification of Data

THANK YOU!!!

Racer Ann M. Gonzales
Pre-Service Teacher