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Statistics And Probability
Lesson 1: Introducing Statistics
CHAPTER 1: EXPLORING DATA
Statistics as a Tool in
Decision-Making
Statistics as a Tool in Decision-Making
• Statistics is defined as a science that
studies data to be able to make a decision.
• Statistics as a science involves the methods
of collecting, processing, summarizing and
analyzing data in order to provide answers
or solutions to an inquiry.
Statistics as a Tool in Decision-Making
• One also needs to interpret and
communicate the results of the
methods identified above to support a
decision that one makes when faced
with a problem or an inquiry.
• The word “statistics” comes from the
word “state”— because governments
have been involved in the statistical
activities, especially the conduct of
censuses either for military or
taxation purposes.
Trivia:
• The need for and conduct of censuses are
recorded in the pages of holy texts.
• In the Christian Bible, particularly the Book of
Numbers, God is reported to have instructed
Moses to carry out a census.
• Another census mentioned in the Bible is the
census ordered by Caesar Augustus throughout
the entire Roman Empire before the birth of
Christ.
Trivia:
• Uncovering patterns in data involves
not just science but it is also an art,
and this is why some people may
think “Stat is eeeks!” and may view
any statistical procedures and results
with much skepticism
Trivia:
•characterize
persons, objects,
situations, and
phenomena;
Statistics enable us to:
•explain
relationships
among variables;
Statistics enable us to:
•formulate objective
assessments and
comparisons; and
Statistics enable us to:
•make evidence-
based decisions
and predictions.
Statistics enable us to:
Statistical Process in
Solving a Problem
“Do dogs eat more
than cats?”
Statistical Process in Solving a Problem
• As discussed earlier, this question
requires you to gather data to
generate statistics which will serve
as basis in answering the query.
Statistical Process in Solving a Problem
• There should be plan or a design
on how to collect the data so that
the information we get from it is
enough or sufficient for us to
minimize any bias in responding to
the query.
Statistical Process in Solving a Problem
• In relation to the query, we said
earlier that we cannot gather the
data from all dogs and cats. Hence,
the plan is to get representative
group of dogs and another
representative group of cats.
Statistical Process in Solving a Problem
• These representative groups were
observed for some characteristics
like the animal weight, amount of
food in grams eaten per day and
breed of the animal.
Statistical Process in Solving a Problem
• Included in the plan are factors like
how many dogs and cats are
included in the group, how to
select those included in the
representative groups and when to
observe these animals for their
characteristics.
Statistical Process in Solving a Problem
• After the data were gathered, we
must verify the quality of the data
to make a good decision.
Statistical Process in Solving a Problem
• Data quality check could be done
as we process the data to
summarize the information
extracted from the data.
Statistical Process in Solving a Problem
• Then using this information, one
can then make a decision or
provide answers to the problem or
question at hand.
To summarize, a statistical
process in making a decision
or providing solutions to a
problem include the following:
STATISTICAL PROCESS
1.
Planning or designing the
collection of data to answer
statistical questions in a way that
maximizes information content and
minimizes bias;
STATISTICAL PROCESS
2.
Collecting the data as required in
the plan;
STATISTICAL PROCESS
3.
Verifying the quality of the data
after they were collected
STATISTICAL PROCESS
4.
Summarizing the information
extracted from the data;
STATISTICAL PROCESS
5.
Examining the summary statistics
so that insight and meaningful
information can be produced to
support decision-making or
solutions to the question or
problem at hand.
Summary:
1.Planning or designing the collection of data to answer
statistical questions in a way that maximizes information
content and minimizes bias;
2.Collecting the data as required in the plan;
3.Verifying the quality of the data after they were collected;
4.Summarizing the information extracted from the data;
5.Examining the summary statistics so that insight and
meaningful information can be produced to support
decision-making or solutions to the question or problem
at hand.
CONCLUSION
• Hence, several activities make up a statistical process
which for some the process is simple but for others it
might be a little bit complicated to implement.
• Also, not all questions or problems could be answered by
a simple statistical process. There are indeed problems
that need complex statistical process.
• However, one can be assured that logical decisions or
solutions could be a formulated using a statistical
process.
KEY POINTS
• Difference between questions that could be
and those that could not answered using
Statistics.
• Statistics is a science that studies data.
• There are many uses of Statistics but its main
use is in decision-making.
• Logical decisions or solutions to a problem
could be attained through a statistical
process.
ASSESMENT:
Identify which of the following
questions are answerable using a
statistical process. Write YES if it is
answerable using a statistical process,
otherwise, NO.
1.
What is a typical size
of a Filipino family?
2.
How many hours in a
day?
3.
How old is the oldest
man residing in the
Philippines?
4.
Is planet Mars bigger
than planet Earth?
5.
What is the average
wage rate in the
country?
6.
Would Filipinos
prefer eating
bananas rather than
apple?
7.
How long did you
sleep last night?
8.
How much a newly-
hired public school
teacher in NCR earns
in a month?
9.
How tall is a typical
Filipino?
10.
Did you eat your
breakfast today?

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Q3_W1_Introducing-Statisticsbbbbbnnn.pdf

  • 2. Lesson 1: Introducing Statistics CHAPTER 1: EXPLORING DATA
  • 3. Statistics as a Tool in Decision-Making
  • 4. Statistics as a Tool in Decision-Making • Statistics is defined as a science that studies data to be able to make a decision. • Statistics as a science involves the methods of collecting, processing, summarizing and analyzing data in order to provide answers or solutions to an inquiry.
  • 5. Statistics as a Tool in Decision-Making • One also needs to interpret and communicate the results of the methods identified above to support a decision that one makes when faced with a problem or an inquiry.
  • 6. • The word “statistics” comes from the word “state”— because governments have been involved in the statistical activities, especially the conduct of censuses either for military or taxation purposes. Trivia:
  • 7. • The need for and conduct of censuses are recorded in the pages of holy texts. • In the Christian Bible, particularly the Book of Numbers, God is reported to have instructed Moses to carry out a census. • Another census mentioned in the Bible is the census ordered by Caesar Augustus throughout the entire Roman Empire before the birth of Christ. Trivia:
  • 8. • Uncovering patterns in data involves not just science but it is also an art, and this is why some people may think “Stat is eeeks!” and may view any statistical procedures and results with much skepticism Trivia:
  • 12. •make evidence- based decisions and predictions. Statistics enable us to:
  • 14. “Do dogs eat more than cats?”
  • 15. Statistical Process in Solving a Problem • As discussed earlier, this question requires you to gather data to generate statistics which will serve as basis in answering the query.
  • 16. Statistical Process in Solving a Problem • There should be plan or a design on how to collect the data so that the information we get from it is enough or sufficient for us to minimize any bias in responding to the query.
  • 17. Statistical Process in Solving a Problem • In relation to the query, we said earlier that we cannot gather the data from all dogs and cats. Hence, the plan is to get representative group of dogs and another representative group of cats.
  • 18. Statistical Process in Solving a Problem • These representative groups were observed for some characteristics like the animal weight, amount of food in grams eaten per day and breed of the animal.
  • 19. Statistical Process in Solving a Problem • Included in the plan are factors like how many dogs and cats are included in the group, how to select those included in the representative groups and when to observe these animals for their characteristics.
  • 20. Statistical Process in Solving a Problem • After the data were gathered, we must verify the quality of the data to make a good decision.
  • 21. Statistical Process in Solving a Problem • Data quality check could be done as we process the data to summarize the information extracted from the data.
  • 22. Statistical Process in Solving a Problem • Then using this information, one can then make a decision or provide answers to the problem or question at hand.
  • 23. To summarize, a statistical process in making a decision or providing solutions to a problem include the following:
  • 24. STATISTICAL PROCESS 1. Planning or designing the collection of data to answer statistical questions in a way that maximizes information content and minimizes bias;
  • 25. STATISTICAL PROCESS 2. Collecting the data as required in the plan;
  • 26. STATISTICAL PROCESS 3. Verifying the quality of the data after they were collected
  • 27. STATISTICAL PROCESS 4. Summarizing the information extracted from the data;
  • 28. STATISTICAL PROCESS 5. Examining the summary statistics so that insight and meaningful information can be produced to support decision-making or solutions to the question or problem at hand.
  • 29. Summary: 1.Planning or designing the collection of data to answer statistical questions in a way that maximizes information content and minimizes bias; 2.Collecting the data as required in the plan; 3.Verifying the quality of the data after they were collected; 4.Summarizing the information extracted from the data; 5.Examining the summary statistics so that insight and meaningful information can be produced to support decision-making or solutions to the question or problem at hand.
  • 30. CONCLUSION • Hence, several activities make up a statistical process which for some the process is simple but for others it might be a little bit complicated to implement. • Also, not all questions or problems could be answered by a simple statistical process. There are indeed problems that need complex statistical process. • However, one can be assured that logical decisions or solutions could be a formulated using a statistical process.
  • 31. KEY POINTS • Difference between questions that could be and those that could not answered using Statistics. • Statistics is a science that studies data. • There are many uses of Statistics but its main use is in decision-making. • Logical decisions or solutions to a problem could be attained through a statistical process.
  • 32. ASSESMENT: Identify which of the following questions are answerable using a statistical process. Write YES if it is answerable using a statistical process, otherwise, NO.
  • 33. 1. What is a typical size of a Filipino family?
  • 34. 2. How many hours in a day?
  • 35. 3. How old is the oldest man residing in the Philippines?
  • 36. 4. Is planet Mars bigger than planet Earth?
  • 37. 5. What is the average wage rate in the country?
  • 39. 7. How long did you sleep last night?
  • 40. 8. How much a newly- hired public school teacher in NCR earns in a month?
  • 41. 9. How tall is a typical Filipino?
  • 42. 10. Did you eat your breakfast today?