WELCOME TO ADVANCED MATH CLASSMs. Stadeker

Advanced Math 2013-2014

Advanced MathMonday, September 3, 2013Advanced MathMonday, September 3, 2013

Objective (students will be able to): – Explain the different branches of statistics– Understand how samples are collected

Agenda:1. Do Now2. Check-In3. What Is Statistics?4. The Language of Statistics5. Population vs. Sample6. Activity: Where do I stand7. Group Activity: Sample Data CollectionDaniels/Stadeker - 2013-14 2Advanced Math

Do Now & Journal Topic Do Now & Journal Topic

•List at least one numerical fact you know•Five years from now, I will be……..

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Check-inCheck-in1. Any questions about the syllabus or the

course in general?2. If you know of students who have not shown

up to school at Fenger, PLEASE ENCOURAGE THEM TO COME TO SCHOOL!

3. This week we will begin to do more in-depth discussions on research and statistics

4. You will also have some readings to complete

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What Is Statistics? What Is Statistics?• Most people become familiar with probability and

statistics through various media (radio, TV, Internet, newspapers, and magazines) – Nearly one in seven US families are struggling with bills from

medical expenses even though they have health insurance– About 15% of men in the US are left-handed and 9% of

women are left-handed– The median age of couples who watch Jay Leno is 48.1 years– Eating 10 grams of fiber a day reduces the risk of heart attack

by 14%

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Where Do We See Statistics?Where Do We See Statistics?

• Statistics is used in almost ALL fields of human endeavor. – Sports: a statistician may keep records of the number

of yards a running back gains during the football game OR number of hits a baseball player gets in a season

– Public Health: an administrator might be concerned with the number of residents who contract a new strain of flu virus

– Education: a researcher might want to know if new teaching methods are better than old ones.

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The Language of StatisticsThe Language of Statistics

• Variable: a characteristic or attribute that can assume different values

• Variables whose values are determined by chance are called random variables

• Data: values (measurements or observations) that variables can assume

• Data is the information collected – the group of information forms a data set

• Each value in the set is a data point or datumDaniels/Stadeker - 2013-14 Advanced Math 7

Population vs Sample

Population SampleALL subjects (human or

otherwise) that are being studied

ExamplesAll citizens of the United StatesAll students enrolled at FHS

during Fall 2013The governors of the 50 United

States

“Small” group of subjects (human or otherwise) selected from the population

Examples1000 adult Americans surveyed

to determine if he/she favors the legalization of marijuana

21 students in Mr. Daniels’ math class surveyed to determine height

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Where do I stand?Where do I stand?

• In this exercise, you will be given a description• The description may be a population OR it

may be a sample• If you think it is a population, write population• If you think the description is a sample, write

sample

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Where do I stand?Where do I stand?

Which of the following are populations?•All institutionalized elderly with Alzheimer's in Cook county nursing homes•All people with AIDS•All pregnant teens in Cook County•All students who made the Honor Roll last year•All students in Illinois who took the ACT

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Journal Topic Journal Topic

• Provide an example of a population & a sample

• Describe someone who is a hero to you and explain why

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Sample Data CollectionSample Data Collection

Instructions:•You will work in one group•Your group must – Define a population in your own words– Define a reasonable sample of your population– Determine the type of data you could collect against

your sample– Create a presentation (drawing) that illustrates your

population, sample and data •Each group will give a readout •This is a graded assignment

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HAVE A GREAT TUESDAY!!!HAVE A GREAT TUESDAY!!!

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