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Probability

Study of chance, randomness and uncertainty

Provides a measure of chance

Allows us to make decisions more confidently

Statistics

Provides methods and tools to collect and organise data

It can be put in bar graphs, pie charts, line graphs, and more.

Data can be analysed so useful information can be used to influence decisions.

# data[].attributes.body
Probability: the study of chance, randomness, and uncertainty

measure of chance, more than yes, no, and maybe

gives us % chance to help us make better decisions

Statistics: ways to organise the seas of data around us

pie charts, bar graphs, and line graphs are all forms of statistics

can be applied to different situations to help us understand them more clearly and make the best choice

Therefore, both statistics and probability help us make good decisions in multiple things, whether it's choosing the right movie to watch or which bus to take. We can use them for a multitude of things, and they can be amazing.

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Probability

We are constantly facing with randomness and uncertainty in our daily lives.

Probablilty is the study of chance. It provides us with a measure of chance, to go beyond yes, no, and maybe to compare the likelihood of certain events.

Using probability, we can make decisions with more confidence and certainty.

Statistics

They are huge volumes of data which surrounds us everyday.

If we were to make sense of this data, we can make better informed decisions in our lives.

They provide the methods and tools to organise data.

# data[].attributes.body
Study of chance

provides a measure of chance

Allows us to make decision confidently

provides the methods and ools to collect and organise data

Can be put in bar graphs, pie charts, etc...

Data can be analysed so useful information can be used.

# data[].attributes.body
Probability is the study of chance, it provides a measure of chance.

Provides the methods and tools to collect and organise data.

Can be put in bar graphs , pie charts, etc

Data can be analysed so useful information can be used to influence decisions.

# data[].attributes.body
Probability is the study of chance and randomness.

Allows us to have a measure of chance .

Allows us to make decisions better.

Provides tools to organise data, can be put in bar graphs, pie charts, line graphs.

# data[].attributes.body
I learnt what probability and statistics are.

Probability:

1. Study of chance, uncertainty and randomness.

2. Provides us with a measure of chance

3. Allows us to calculate as well as compare the likelihood of different events, allowing us to make better decisions with greater confidence.

Statistics:

1. Provides the methods and tools to organise data in graphical representations which include pie charts, bar graphs, line graphs and tables.

2. Help us analyse and interpret the the data to make better decisions.

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Probability is based on luck and uncertainties. it measured between 'no' and 'yes' with 'maybe' in between. some examples are flipping a coin and the chase of it going to rain or not. Statistics is the branch of math that studies how to collect, analyse, and interpret data. Some examples are pie charts, bar graphs, average investment rates and many more.

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What are Statistics and Probability?

1. Statistics

Provides methods and tools to collect and organize data in tables or other graphical representations like pie charts, bar graphs and line graphs

We can analyse and interpret data useful information to be derived to make wise decisions

We use it to help us understand the world around us more easily.

2. Probability

We continuously face randomness and uncertainty in life (E.g. Will it rain today?, will there be traffic here today?

It is the study if chance, randomness and uncertainty

It provides us with a measure of chance, such as a 50/50 chance when u flip a coin, 25% of chance to get a 4 option MCQ question correct and a weather forecast showing a certain probability of rain which may not be 100% accurate but helps us to make wise decisions.

# data[].attributes.body
probability is dealing with predicting the likelihood of future events.

statistics is analysing the frequency of past events which then allows us to make an educated guess based of it

# data[].attributes.body
What Are Probability & Statistics?

Probability and Statistics are two connected areas of mathematics. Probability is about predicting how likely something is to happen. Statistics is about collecting, organising, and making sense of real data. Together, they help us understand uncertainty and make smarter decisions.

1. Probability

Purpose: To measure how likely an event is to occur.

The Basic Formula:

P(event) = Number of favourable outcomes ÷ Total number of possible outcomes

For example: the probability of rolling a 3 on a fair dice = 1/6

Tools for Working Out Probability:

Sample Space - a list or table of all possible outcomes

Tree Diagrams - used for two or more events in sequence; multiply along branches, add between branches

Two-Way Tables - organise outcomes across two categories to find probabilities easily

2. Statistics & Data

Purpose: To collect and analyse data so we can draw conclusions and make decisions.

Measures of Central Tendency (Averages):

These describe what is "typical" in a data set.

Mean - Total sum ÷ number of values (When data is evenly spread)

Median - Middle value when ordered (When there are outliers)

Mode - Most frequent value (For categorical data)

Measures of Spread:

These describe how consistent or varied the data is.

Range - Highest value − Lowest value (simple but affected by outliers)

Interquartile Range (IQR) - Q3 − Q1 (more reliable; ignores extreme values)

Finding Quartiles:

Order the data → find the median (Q2) → find the median of the lower half (Q1) → find the median of the upper half (Q3)

Representing Data - Which Chart to Use:

Bar Chart - Comparing categories

Pie Chart - Showing proportions of a whole

Histogram - Grouped continuous data (frequency density)

Box Plot - Showing median, spread, and outliers at a glance

Scatter Graph - Exploring relationships between two variables

Line Graph - How data changes over time

Scatter Graphs & Correlation:

Positive correlation - both variables increase together

Negative correlation - one increases as the other decreases

No correlation - no clear pattern

Draw a line of best fit to estimate values - but correlation does not mean causation!

# data[].attributes.body
Probability is the calculated likelihood of something to happen

Statistics is collected data of something that has happened or is happening

# data[].attributes.body
Probability is the study of chance, randomness and uncertainty, and provides a measure of chance and allows us to make decisions more confidently

Statistics, helps to provide the methods and tools to collect and organize data, and it can be put in bar graphs, pie charts, line graphs. This allows the data to be analyzed so useful information can be used to influence decisions

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basically probality is the study of chance

it is very randomised, and is sort of like gambling. probability is not reliable as it may be wrong.

statistics provides tools to oragnise data, and it is better than probability as it has actual numbers fo chance.

# data[].attributes.body
Probability is the study of chance and uncertainty, and it allows us to make decisions with greater confidence.

Statistics provides tools to organise data, and it is more reliable than probability. It lays out all the data in a chart or graph and can be used to make more reliable decisions

# data[].attributes.body
Statistics allow us to guess the probability of something. You need to base of statistics for probability, as the most probable outcome would be the most common outcome in the statistics. Statistics are a recording of past events /results, which allows us to make an educated guess of the result of doing something.

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Statistics provided the methods and tools to collect and organize data while Probability is the study of chance, randomness and uncertainty.

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1)probability: probability is random, it is like flipping a coin which has a fifty-fifty chance of landing on one side or like randomly picking 1 of 4 answers in an mcq question which has a 25 percent chance of you getting corrector like the weather. All of these are called probabilities.

2)statistics:Statistics takes huge amounts of data from various sources and makes it understandable.For example we have pie charts to show data in parts allowing us to visually grasp the information and another example is line graphs which shows data over a long period of time allowing us to understand the changes ;increases or decreases of something more easily

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Statistics and probability:

1. Probability:

-The study of chances and uncertainty(luck)

-Uses a measure of chance to go between the impossibility, the maybe and the certainty

-Real life examples include:

.Flipping of coin(50/50 or 50% chance)

.4 choice multiple choice questions(25/75 or 25% chance)

.Weather forecast chances of raining(to help us make better decision of whether to bring an umbrella)

2. Statistics

-Huge volumes of data in our everyday lives which helps us make better informed decisions

-Provides the methods and tools to organise data in graphical representations which include:

.Pie charts(to show a part from a whole)

.Bar graphs(to compare values)

.Line graph(to show changes of a value)

.Tables

-Can analyse and interpret the data to make better decisions

-Real life examples:

.Average rate of return on investment

.Average insurance claim payout

.Dietary recommendations

.What movie to watch based on rating

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I learnt about what probability and statistics are.

Probability is something we always encounter in real life. It is basically the study of randomness and uncertainty. When people study probability, they calculate the likelihood of this/that happening, which helps us say yes/no.

Statistics provides us with the methods the organise and collect data. We can represent these datas with graphs like the pie chart, line graph and the bar graph. We can then use this data to analyse something so that useful info can be derived from it

# data[].attributes.body
Statistics:

the collection, organization, analysis, interpretation, and presentation of data.

analyses and interprets data to understand a situation and make "educated guesses"

Probability:

the mathematical study of randomness and the likelihood of future events.

Allows us to calculate and compare the likelihood of events.

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Statistics and Probability

• Probability

-- Probability is the study of chance, randomness and uncertainty.

-- Provides us with a measure of chance (Yes, no or maybe).

-- Allows us to calculate and compare the likelihood of different events. -> Examples: 50-50 chance of getting a hit when tossing a coin, a 25% chance of randomly guessing an MCQ correctly and in weather forecast where we're able to come up with the chance of rain for a particular day.

-- Allows us to make better decision with greater confidence and certainty.

• Statistics

-- There are huge volumes of data surrounding us every day.

-- We can make better, informed decisions in our lives if we are able to make sense of this data.

-- Statistics provides the methods and tools to collect and organise data such as in tables or other graphical representations (Pie charts, Bar graphs, Line Graphs)

-- We can analyse and interpret data so that useful information can be derived to help us understand a situation and make decisions.

• Summary

-- We make use of statistics and probability to understand the world around us. -> Examples: In managing our finances, determining appropriate insurance coverage, performing our lifestyle choices and even the types of movies to watch.

-- A good understanding of statistics and probability is essential to navigate the randomness and uncertainties in life.

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Statistics and probability help us to understand the world around us, and is essential to navigate the randomness and uncertainties in life by letting us make good decisions

Probability

Is the study of chance, randomness and uncertainty

Provides us with a measure of chance for us to compare the likelihood of events

Statistics

Provides methods and tools to organise data

Represents data in tables or other graphical representations eg. pie charts, line graphs

# data[].attributes.body
Probability:

Study of chance, randomness and uncertainty

Provides a measure of chance

Allows us to make decisions more confidently

Statistics:

Provides the methods and tools to collect and organise data

Can be put in bar graphs, pie charts, line graphs, etc.

Data can be analysed so useful information can be used to influence decisions

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Extending to what the 5 members LEARNT

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Extending to what the 5 members LEARNT

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Extending to what the 5 members LEARNT

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Extending to what the 5 members LEARNT

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Extending to what the 5 members LEARNT

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Watch the clip in SLS & distill your learning

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Watch the clip in SLS & distill your learning