1) The document discusses various statistical concepts including mean, median, mode, range, and scatter graphs. It provides examples and explanations of how to calculate each.
2) Scatter graphs are used to examine the relationship between two variables. Positive correlation means both variables increase together, while negative correlation means one decreases as the other increases.
3) The strength of correlation can be strong or weak. A line of best fit drawn on a scatter graph highlights the trend in the data.
Math 2 Times Table, Place Value and Decimals : Grades 3 - 4Julia Guo
Learn and practice multiplication and division, dividing fractions, or using algebra to solve complex word problems, students are building their math fluency and using deductive reasoning skills to problem solve.
In VSA Math, our youngest students build foundational skills in early mathematical skills, including number and pattern recognition, geometry, measurement, and problem-solving skills. With our experienced PK–G2 teachers, students learn to love counting, adding, and seeing shapes in the world around them.
With teacher modeling and guided and independent practice, each virtual class features a combination of on-screen learning and drawing and writing exercises.
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfNirmal Dwivedi
This Presentation is about the Unit 5 Mathematical Reasoning of UGC NET Paper 1 General Studies where we have included Types of Reasoning, Mathematical reasoning like number series, letter series etc. and mathematical aptitude like Fraction, Time and Distance, Average etc. with their solved questions and answers.
Math 2 Times Table, Place Value and Decimals : Grades 3 – 4VSA Future LLC
Learn and practice multiplication and division, dividing fractions, or using algebra to solve complex word problems, students are building their math fluency and using deductive reasoning skills to problem solve.
It's about statistical methods.
Data analysis,Grouped-Ungrouped data,Mean,Median,Mode,Percentile,Standard Deviation,Variance,Frequency Distribution Graphs,Corelation
Math 2 Times Table, Place Value and Decimals : Grades 3 - 4Julia Guo
Learn and practice multiplication and division, dividing fractions, or using algebra to solve complex word problems, students are building their math fluency and using deductive reasoning skills to problem solve.
In VSA Math, our youngest students build foundational skills in early mathematical skills, including number and pattern recognition, geometry, measurement, and problem-solving skills. With our experienced PK–G2 teachers, students learn to love counting, adding, and seeing shapes in the world around them.
With teacher modeling and guided and independent practice, each virtual class features a combination of on-screen learning and drawing and writing exercises.
UGC NET Paper 1 Mathematical Reasoning & Aptitude.pdfNirmal Dwivedi
This Presentation is about the Unit 5 Mathematical Reasoning of UGC NET Paper 1 General Studies where we have included Types of Reasoning, Mathematical reasoning like number series, letter series etc. and mathematical aptitude like Fraction, Time and Distance, Average etc. with their solved questions and answers.
Math 2 Times Table, Place Value and Decimals : Grades 3 – 4VSA Future LLC
Learn and practice multiplication and division, dividing fractions, or using algebra to solve complex word problems, students are building their math fluency and using deductive reasoning skills to problem solve.
It's about statistical methods.
Data analysis,Grouped-Ungrouped data,Mean,Median,Mode,Percentile,Standard Deviation,Variance,Frequency Distribution Graphs,Corelation
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Unit 8 - Information and Communication Technology (Paper I).pdfThiyagu K
This slides describes the basic concepts of ICT, basics of Email, Emerging Technology and Digital Initiatives in Education. This presentations aligns with the UGC Paper I syllabus.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
The French Revolution, which began in 1789, was a period of radical social and political upheaval in France. It marked the decline of absolute monarchies, the rise of secular and democratic republics, and the eventual rise of Napoleon Bonaparte. This revolutionary period is crucial in understanding the transition from feudalism to modernity in Europe.
For more information, visit-www.vavaclasses.com
The Roman Empire A Historical Colossus.pdfkaushalkr1407
The Roman Empire, a vast and enduring power, stands as one of history's most remarkable civilizations, leaving an indelible imprint on the world. It emerged from the Roman Republic, transitioning into an imperial powerhouse under the leadership of Augustus Caesar in 27 BCE. This transformation marked the beginning of an era defined by unprecedented territorial expansion, architectural marvels, and profound cultural influence.
The empire's roots lie in the city of Rome, founded, according to legend, by Romulus in 753 BCE. Over centuries, Rome evolved from a small settlement to a formidable republic, characterized by a complex political system with elected officials and checks on power. However, internal strife, class conflicts, and military ambitions paved the way for the end of the Republic. Julius Caesar’s dictatorship and subsequent assassination in 44 BCE created a power vacuum, leading to a civil war. Octavian, later Augustus, emerged victorious, heralding the Roman Empire’s birth.
Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
The Roman Empire’s society was hierarchical, with a rigid class system. At the top were the patricians, wealthy elites who held significant political power. Below them were the plebeians, free citizens with limited political influence, and the vast numbers of slaves who formed the backbone of the economy. The family unit was central, governed by the paterfamilias, the male head who held absolute authority.
Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
Roman architecture and engineering achievements were monumental. They perfected the arch, vault, and dome, constructing enduring structures like the Colosseum, Pantheon, and aqueducts. These engineering marvels not only showcased Roman ingenuity but also served practical purposes, from public entertainment to water supply.
Francesca Gottschalk - How can education support child empowerment.pptxEduSkills OECD
Francesca Gottschalk from the OECD’s Centre for Educational Research and Innovation presents at the Ask an Expert Webinar: How can education support child empowerment?
Model Attribute Check Company Auto PropertyCeline George
In Odoo, the multi-company feature allows you to manage multiple companies within a single Odoo database instance. Each company can have its own configurations while still sharing common resources such as products, customers, and suppliers.
2024.06.01 Introducing a competency framework for languag learning materials ...Sandy Millin
http://sandymillin.wordpress.com/iateflwebinar2024
Published classroom materials form the basis of syllabuses, drive teacher professional development, and have a potentially huge influence on learners, teachers and education systems. All teachers also create their own materials, whether a few sentences on a blackboard, a highly-structured fully-realised online course, or anything in between. Despite this, the knowledge and skills needed to create effective language learning materials are rarely part of teacher training, and are mostly learnt by trial and error.
Knowledge and skills frameworks, generally called competency frameworks, for ELT teachers, trainers and managers have existed for a few years now. However, until I created one for my MA dissertation, there wasn’t one drawing together what we need to know and do to be able to effectively produce language learning materials.
This webinar will introduce you to my framework, highlighting the key competencies I identified from my research. It will also show how anybody involved in language teaching (any language, not just English!), teacher training, managing schools or developing language learning materials can benefit from using the framework.
3. The mean is the total of the numbers divided by how many
numbers there are.
• To find the mean, add all the numbers together then divide by the
number of numbers.
• E.g 6 + 3 + 100 + 3 + 13 = 125 ÷ 5 = 25
• The mean is 25.
• The mean is not always a whole number.
4. The median is the middle value.
• To find the median, order the numbers and see which one is in the
middle of the list.
• E.g 3, 3, 6, 13, 100 = 6
• The median is 6.
• If there are two middle values the median is halfway between them.
This might not be a whole number.
The mode is the number that appears the most.
•To find the mode, order the numbers lowest to highest and see
which number appears the most often.
•E.g 3, 3, 6, 13, 100 = 3
•The mode is 3.
5. The range is the difference between the biggest and the
smallest number.
• To find the range, subtract the lowest number from the biggest
number.
• E.g 3, 3, 6, 13, 100
SO, 100 - 3 = 97
• The range is 97.
6. Practice Question
Question
A die is thrown 10 times.
These are the results:
3, 5, 1, 2, 6, 4, 2, 5, 6, 1
What is the mean score?
Question
Find the median of each of the
following sets of numbers:
a) 2, 4, 7, 1, 9, 3, 11
b) 4, 1, 3, 6, 9, 10
Question
Find the mode of each of the following sets of
numbers:
a) 3, 7, 1, 3, 4, 8, 3
b) 2, 7, 2, 1, 4, 7, 3
Question
Find the range of the following set of numbers:
a) 23, 27, 40, 18, 25
b) 25, 26, 57, 15, 47
7. Answers
To find the answer, add the values together and divide the total by the number of values:
Mean =(3+5+1+2+6+4+2+5+6+1)÷10
35÷10=3.5
a) Place these numbers in order:
1, 2, 3, 4, 7, 9, 11
The middle number is 4. Therefore the median is 4.
b) Place these numbers in order:
1, 3, 4, 6, 9, 10
There are two middle numbers (4 and 6), so we find the mean of these two numbers. The
median is therefore:
(4+6)÷2=5
8. a) Start by placing the numbers in order:
1, 3, 3, 3, 4, 7, 8
The number 3 occurs most often so the mode is 3.
b) Start by placing the numbers in order:
1, 2, 2, 3, 4, 7, 7
The numbers 2 and 7 occur more often so the modes are 2 and 7.
a) The largest value is 40 and the smallest value is 18. Therefore, the range is 40−18=22.
b) The largest value is 57 and the smallest value is 15. Therefore, the range is 57−15=42.
9. Data Analysis – Scatter Diagrams
Scatter diagrams are used to examine whether two pieces of data are linked or related.
The word used to describe this relationship is correlation.
Correlation is measured in terms of type and strength.
The different types of correlation are described as positive, negative or zero
correlation.
The strength of the correlation is described as strong or weak.
When a scatter diagram shows correlation between the two sets of data, a can be
drawn to highlight the trend of data ‘line of best fit’
10. Correlation
If there is a relationship between two variables, we say there is a correlation.
There are two types of correlation:
Positive correlation – as one variable goes up, the other also goes up.
Negative correlation – as one variables goes up, the other goes down.
If the points are randomly spread, we say there is no correlation.
11. Drawing Scatter Graphs
Example: The table below shows the results of students’ Maths and English
exams out of 100. Plot a scatter graph for this information.
Draw the axes. One should be for the ‘Maths mark’,
making sure it goes up to at least 100 and the other
should be for the ‘English Mark’, making sure it goes
up to at least 100100 also. Label the axes.
Then, plot the data as shown on the graph to the right
e.g. for someone who got 38 on their maths exam
and 74 on their English exam, go across to 38 on
the x-axis and then up to 74 on the y-axis, and draw a
cross or a dot.
12. Drawing a Line of Best Fit
A line of best fit is a straight line that is used to represent the correlation of the
data.
Lines of best fit should go through the middle of all the points, with an equal
number of points on either side of the line.
Note: Make sure you use a sharp pencil and a ruler when drawing a line of best
fit.
13. Practice Question
John records the temperature of a cup of coffee over time. The results are shown in the table below:
a) Draw a scatter graph for the data.
b) State the type of correlation.
c) Estimate the temperature of a cup of coffee after 66 minutes.
