Unit 4 Statistics 1 variable Intro Problem A

Unit 4 Statistics 1 -variable

Intro Problem • A farmer is investigating the effect of a new organic fertilizer on his crops of peas. He has divided a small garden into two equal plots and planted many peas in each. Both plots have been treated the same except that fertilizer has been used on one and not the other. • A random sample of 150 pods is harvested from each plot at the same time, the number of peas in each pod is counted. • How many data samples did he collect? • What do you expect the data to look like?

Farmer’s Data Without fertilizer 4 6 5 65 6 4 9 5 3 6 8 5 4 6 8 6 5 6 7 4 6 5 2 8 6 5 5 5 4 4 4 6 7 5 5 64 8 5 3 7 5 3 6 4 7 5 6 5 7 6 7 5 4 7 5 5 5 6 6 5 6 7 5 8 6 7 6 6 3 7 68 3 3 4 4 7 6 5 6 7 4 7 3 7 7 6 7 7 4 6 6 5 6 7 6 3 4 6 6 3 7 6 8 6 6 47 6 6 5 3 8 6 7 6 6 6 8 4 4 8 6 6 2 6 5 7 3 Without Fertilizer 6 7 7 4 9 5 5 5 8 9 7 7 5 8 7 6 6 7 9 7 7 7 8 9 3 7 4 8 5 # 8 6 7 5 6 8 7 9 4 4 9 6 8 5 8 7 7 4 7 8 10 6 10 7 7 7 9 7 7 8 6 8 7 4 8 6 8 7 3 8 7 6 9 7 6 8 3 9 5 7 6 8 7 9 7 8 4 8 7 7 7 6 6 8 6 3 8 5 8 7 6 7 4 9 6 6 6 8 4 7 8 9 7 7 4 7 5 7 4 7 6 4 6 7 7 6 7 8 7 6 6 7 8 6 7 10 5 13 4 7 11

Questions about farmer problem 1) 2) 3) 4) 5) 6) 7) Can you state clearly the problem that the farmer wants to solve? How has the farmer tried to make a fair comparison How could the farmer make sure that his selection was at random What is the best way of organizing this data Are there any abnormally high or low results and how should they be treated? How can we best describe the most typical pod size? How can we best describe the spread of possible pod sizes? 1) What does spread mean? 8) Can the farmer make a reasonable conclusion from his investigation?

Vocabulary • Population- a defined collection of individuals or objects about which we want to draw conclusions • Census- The collection of information from the whole population • Sample- a subset of the population. It is important to choose a sample at random to avoid bias in the results • Survey- the collection of information from a sample • Data (singular- datum) information about individuals in a population • Parameter- a numerical quantity measuring some aspect of a population • Statistic- a quantity calculated from data gathered from a sample. It is usually used to estimate a population parameter

Why vocabulary is important in math…to understand Math jokes

Chapter 7 Part A Types of Data • Categorical Variables and Data • There is an 80% chance students are wearing a blue polo to school – The data collected is ______ and ______ – _______ is called a categorical variable because is describes a particular quality or characteristic. – The collection of categorical variables is called categorical data – Say categorical five times fast

• Quantitative or numerical variables- Discrete • the number of people in the lunch line – Is an example of a quantitative variable because it has a numerical value. – The total number of people in the lunch line is called numerical data – This is also an example of quantitative discrete variable because the number of people in the lunch line is an exact number value that is often a result of counting • Basically that is a fancy way of saying there can’t be a half a person. The informal definition is that --Discrete means we can count it.

• Quantitative or numerical variables. Continuous • The times it takes to run a 100 m race – Quantitative variable because the answers are numerical values – It is a quantitative CONTINUOUS variable because it can take any numerical value within a certain range. It is usually the result of measuring.

Ready to classify these variables into • -categorical quantitative discrete or quantitative continuous a) The number of heads when 3 coins are tossed b) The brand of toothpaste used by the students in a class c) The heights of a group of 15 year old children d) The number of years passed since you deposited $4, 000 into a bank account that earns 2% interest every year e) The types of shoes students are wearing f) The grades you earn that show up on your transcript g) Your ACT score h) The colleges that the graduating of class of 2013 go to i) The distance for your house to school ……now complete Exercise 7 A

Chapter 7 B- simple quantitative discrete data • Frequency Table • the frequency of a data value is the number of times that value occurs in the data set • Relative frequency- the frequency divided by the total number of recorded values. It gives us the proportion of results • Go back to the peas in a pod problem…

This is a frequency table: complete the table

Column Graph/Frequency Polygon • • • Range is on the ______axis The frequency of scores is on the ____ axis The column widths are equal There are gaps between columns to indicate the data is How did I make the frequency polygon?

Make a Dot Plot name 3 characteristics about the dot plot:

Will all data look so uniform as the peas in the pod?

Name 2 research questions that you could actually research and two that you wouldn’t be able to research Quality research questions Bogus questions • •

WHAT DO YOU THINK AN OUTLIER IS?

If you thought about penguins, you are correct Who is the outlier?

Now let’s do an example….

Let’s do exercises 7 B • • • Complete 1 a-g in class Homework- problem 2 and 3 In class tomorrow review problems 2 and 3 Complete 4 and 5 Because Friday we have a quiz on this!