Statistics and probability are two related but distinct fields of mathematics123. Probability is about how likely something is to happen, based on known data243. Statistics is about how we collect, analyze, and interpret data from a sample to make inferences about a larger population124. Both fields help us to understand and predict the behavior of events that involve uncertainty4
2. OBJECTIVES
By the end of the lesson, you are expected to:
Define what is Statistics and Probability.
Find the probability of a given situation.
Illustrate a random variable (discrete or
continuous). M11/12SP-IIIa-1
3. STATISTICS AND PROBABILIY
Statistics the science of collecting, analyzing,
presenting, and interpreting data.
Probability is the study of chance. It is a branch of
mathematics concerned with the analysis of random
phenomena
Statistics and probability are sections of mathematics that deal with
data collection and analysis.
4. Randomness is the apparent or actual lack of pattern
or predictability in events.
12. Activity
Probability #1
What is the probability of randomly choosing
the letter “i” from the word “probability” ?
Probability #2
What is the probability of the spinner wheel
will land on the color “yellow” ?
13. Activity
Probability #3
If a number was randomly chosen from below, what is
the probability it will be an odd number?
[14, 5, 6, 13, 9 ]
Probability #4
A number is chosen at random from 1 – 50. Find the probability of
selecting numbers greater than 12.
21. Random Variable
Example #1.
If 2 Coins are tossed at the same time. Find the
probability of getting a “T” tails.
a.) Find the Sample Space
b.) Find the Probability Distribution
(0- Tails, 1- Tails , 2- Tails)
28. Assignment
If 3 Coins are tossed at the same time. Find
the probability of getting a “T” tails.
a.) Find the Sample Space
b.) Find the Probability Distribution
(0- Tails, 1- Tails , 2- Tails, 3- Tails)
30. Discrete and Continuous Random
Variable
SCRAMBLED WORD
Direction: Unscrumble the following
words.
1. SPALME
SAMPLE
2. COUTINONUS
CONTINUOUS
3. DCSITERE
DISCRETE
4. FITINE FINITE
5. VIABARLE VARIABLE
31. Discrete and Continuous Random
Variable
is a set of possible values from a random
experiment.
Random Variable
Discrete Continuous
Has a countable
number of finite
possible values
Can assume an
infinite number
of values in one or
more intervals.
Measurable
33. Direction:
Write DRV if the statement is Discrete and CRV if the statement is
Continuous.
1. It is measurable.
2. It is Countable.
3. Number of eggs in a basket
4. Number of votes in an election
5. Wind speed
6. Water Temperature
7. Volts of electricity
8. Number of Facebook likes
9. Number of Kids in a class
10. Liters of milk in the tank
1. CRV
2. DRV
3. DRV
4. DRV
5. CRV
6. CRV
7. CRV
8. DRV
9. DRV
10. DRV
Discrete and Continuous Random
Variable
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
Now, that you have narrowed your topic, you will want to organize your research in a structure that works. There are some common organizational patterns based on the kind of research you are doing.
Organizational Structures:
Cause and Effect- this kind of structure is great for explaining the causes and effects of a topic
Compare and Contrast- in this pattern you highlight the similarities and differences of the topic
Explain process- this structure is great for outlining a series of steps to follow;
Definition- if you want to make sure your audience understands what something is using illustrations, meanings, clarifying misconceptions, you may want to use this structure
Classification- a common organizational structure is grouping like topics or facts from the research together. For instance, in the internet safety about social media apps, you may organize the research where you look at each social media app one at a time
Now, that you have narrowed your topic, you will want to organize your research in a structure that works. There are some common organizational patterns based on the kind of research you are doing.
Organizational Structures:
Cause and Effect- this kind of structure is great for explaining the causes and effects of a topic
Compare and Contrast- in this pattern you highlight the similarities and differences of the topic
Explain process- this structure is great for outlining a series of steps to follow;
Definition- if you want to make sure your audience understands what something is using illustrations, meanings, clarifying misconceptions, you may want to use this structure
Classification- a common organizational structure is grouping like topics or facts from the research together. For instance, in the internet safety about social media apps, you may organize the research where you look at each social media app one at a time
Now, that you have narrowed your topic, you will want to organize your research in a structure that works. There are some common organizational patterns based on the kind of research you are doing.
Organizational Structures:
Cause and Effect- this kind of structure is great for explaining the causes and effects of a topic
Compare and Contrast- in this pattern you highlight the similarities and differences of the topic
Explain process- this structure is great for outlining a series of steps to follow;
Definition- if you want to make sure your audience understands what something is using illustrations, meanings, clarifying misconceptions, you may want to use this structure
Classification- a common organizational structure is grouping like topics or facts from the research together. For instance, in the internet safety about social media apps, you may organize the research where you look at each social media app one at a time
Now, that you have narrowed your topic, you will want to organize your research in a structure that works. There are some common organizational patterns based on the kind of research you are doing.
Organizational Structures:
Cause and Effect- this kind of structure is great for explaining the causes and effects of a topic
Compare and Contrast- in this pattern you highlight the similarities and differences of the topic
Explain process- this structure is great for outlining a series of steps to follow;
Definition- if you want to make sure your audience understands what something is using illustrations, meanings, clarifying misconceptions, you may want to use this structure
Classification- a common organizational structure is grouping like topics or facts from the research together. For instance, in the internet safety about social media apps, you may organize the research where you look at each social media app one at a time
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
Now, that you have narrowed your topic, you will want to organize your research in a structure that works. There are some common organizational patterns based on the kind of research you are doing.
Organizational Structures:
Cause and Effect- this kind of structure is great for explaining the causes and effects of a topic
Compare and Contrast- in this pattern you highlight the similarities and differences of the topic
Explain process- this structure is great for outlining a series of steps to follow;
Definition- if you want to make sure your audience understands what something is using illustrations, meanings, clarifying misconceptions, you may want to use this structure
Classification- a common organizational structure is grouping like topics or facts from the research together. For instance, in the internet safety about social media apps, you may organize the research where you look at each social media app one at a time
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
When conducting research, it is easy to go to one source: Wikipedia. However, you need to include a variety of sources in your research. Consider the following sources:
Who can I interview to get more information on the topic?
Is the topic current and will it be relevant to my audience?
What articles, blogs, and magazines may have something related to my topic?
Is there a YouTube video on the topic? If so, what is it about?
What images can I find related to the topic?
You can use this slide as your opening or closing slide. Should you choose to use it as a closing, make sure you review the main points of your presentation. One creative way to do that is by adding animations to the various graphics on a slide. This slide has 4 different graphics, and, when you view the slideshow, you will see that you can click to reveal the next graphic. Similarly, as you review the main topics in your presentation, you may want each point to show up when you are addressing that topic.
Add animation to images and graphics:
Select your image or graphic.
Click on the Animations tab.
Choose from the options. The animation for this slide is “Split”. The drop-down menu in the Animation section gives even more animations you can use.
If you have multiple graphics or images, you will see a number appear next to it that notes the order of the animations.
Note: You will want to choose the animations carefully. You do not want to make your audience dizzy from your presentation.
