Good morning! I hope you had a great first day! Take out signed your homework and Signed Procedure Sheet. Take out your Interactive Notebooks. Take out the extra composition notebook – Ms. Stewart will come around and collect it! Sit quietly and wait for directions! Welcome back!

Warm Up… ON YOUR OWN 1.Evaluate the following (no calculator) a b. 7 x 8 c d. -2 x -6 2.Where did Ms. Stewart go to college? 3.Where is Mrs. Pearson from? 4.What is 50% of 88?

Day 2: Categorical vs. Quantitative Data

Where do you use statistics??? Sports Election Food labels

Two Main Uses of Statistics TO DESCRIBE…Math 1A (Data Analysis) TO PREDICT…Math 1B (Statistical Inference)

Definition In statistics, a variable has two defining characteristics: A variable is an attribute that describes a person, place, thing, or idea. The value of the variable can "vary" from one entity to another. Variable: Characteristic recorded about each individual from a collection of data **What is being measured/counted???

Example I plan to survey all GHHS sophomores using surveymonkey.com. I will be asking them to estimate the number of sodas they drink in one week Variable: __________________

Types of Variables Categorical Variable: A variable that records qualities or characteristics of an individual – Ex. The color of a ball (e.g., red, green, blue) or the breed of a dog (e.g., collie, shepherd, terrier) would be examples categorical variables. Quantitative Variable: A variable that measures a characteristic of an individual – Ex. Population would be a quantitative variable. In this unit, we will focus on quantitative data.

What type is it? CategoricalQuantitative

Categorical or Quantitative Data? 1. Name of your birth month 2. Number of siblings 3. Height in inches 4.Average amount of time (in minutes) of your ride to school 5.Number of pets 6. Model of the car you drive 7. Age of your youngest parent 8. Predicted letter grade of your first Math 1 test.

You try it! Your friend is interested in figuring out the average height of girls at GHHS. She takes a sample of 100 students in the cafeteria during lunch and finds the average height to be 5’2’’. a)What is the variable? b)What type of variable is it? (C or Q) Why?

Categorical vs. Quantitative Data 1. Brand of vehicle purchased by a customer 2. Price of a CD 3. Number of students in a class of 30 who prefer peanut M&Ms over plain M&Ms 4. Phone number of all the students enrolled in school. 5. The height of a 1 year old child. 6. Number of students in a class of 35 who turn in a term paper before the due date. 7. Gender of the next baby born at a particular hospital. 8. Amount of fluid (oz) dispensed by a machine used to fill bottles with soda. 9. Thickness of the gelatin coating of a Vitamin C capsule 10. Brand of computer purchased by a customer 11. State of birth for someone born in the United States. 12. Price of a textbook 13. The phone numbers of everyone in this class. 14. Actual weight of coffee in a one pound can. 15. The length of a rattlesnake.

Any further questions?... Today, we will also be talking about Frequency Tables!

Getting Started… A group of teens were asked how many APPs they downloaded to their cell phones last month. The results are shown in the table below. Number of APPs Downloaded Frequency How many teens were surveyed? 2.How many total APPs were downloaded by this group of teens? 3.Give one number that you think best represents the typical number of APPs that a teen downloads in one month. Justify your answer.

What does frequency mean? The frequency of a particular data value is the number of times the data value occurs. – Ex: For example, if four students have a score of 80 in mathematics, and then the score of 80 is said to have a frequency of 4. The frequency of a data value is often represented by f. What is a frequency table? A frequency table is collection of data values constructed in ascending order of magnitude with their corresponding frequencies Write in notes

Example: The marks awarded for an assignment set for a Year 8 class of 20 students were as follows: Present this information in a frequency table. Step 1: Construct a table with three columns. The first column shows what is being arranged in ascending order (i.e. the marks). The lowest mark is 4. So, start from 4 in the first column as shown below.

Example continued… Step 2: Go through the list of marks. The first mark in the list is 6, so put a tally mark against 6 in the second column. The second mark in the list is 7, so put a tally mark against 7 in the second column. The third mark in the list is 5, so put a tally mark against 5 in the third column as shown below. Step 3: Count the number of tally marks for each mark and write it in third column. The finished frequency table is as follows:

Useful to make Histogram (by hand) Fill out according to our data Create histogram Intervals must be the same To Review: Frequency Table: Used to organize data and to help make histograms by hand # of paper clips linked Tally marksfrequency Write in notes

With your partner: -1 person is time keeper -1 person links paperclips Goal: -How many can you link in 1 minute? When finished: -Count paper clips, record on post-it -Switch – Share data in your group! Link Up: Create your own frequency table:

Review: We use the following steps to construct a frequency table: Step 1: – Construct a table with three columns. Then in the first column, write down all of the data values in ascending order of magnitude. Step 2: – To complete the second column, go through the list of data values and place one tally mark at the appropriate place in the second column for every data value. When the fifth tally is reached for a mark, draw a horizontal line through the first four tally marks. We continue this process until all data values in the list are tallied. Step 3: – Count the number of tally marks for each data value and write it in the third column.

Homework Packet: Day 1 and 2 Procedure Sheet Signed (if not done already) Remember: Calculator…you need one!! Please see me in tutorial (when is it again?) Homework Packet: Day 1 and 2 Procedure Sheet Signed (if not done already) Remember: Calculator…you need one!! Please see me in tutorial (when is it again?)

Day 3: Frequency Tables and Histograms

Revolving Review (R&R) 1.State whether the variable is categorical or quantitative: a.Zip code b.Shoe size c.Hair color d.# of Instagram followers 2.Evaluate:

Day 2 HW Answers Any further questions?... Today, we will be talking about Histograms!

Bar Graph vs. Histogram Bar graph: Bars not touching Used for categorical data Histogram: Bars touching Use for quantitative data (divided into intervals) CONTINUOUS Write in notes

What is a Histogram? Definition: A Histogram is a graphical display of data using bars of different heights.

Describing Distributions: SOCS Shape Center Spread Outliers

Shape Mound shaped & symmetrical Skewed left (extreme low values) Skewed right (extreme high values) Uniform Write in notes

Spread (use paper clip data) Range: max number minus min number Outliers: a data value that does not fit the overall pattern Do we have any outliers in our paper clip data set? If so, what are they?

Center the center can be “eyeballed.” most typical value (highest bar)

Example of Description: The distribution of Susan’s grades put together was skewed right. Most of Susan’s grades were around an 85. Susan’s grades varied from a 34 to a 100, therefore the spread was 66. The outlier was a grade of 34. Can you draw the histogram?

Paper Clip activity: Linking it all together… Write summary describing with the following in your sentences: Steps: 1.Start with distribution: The distribution of __________________ _______was ___________ 2.Mention the center: Most students can put together ___ paper clips. 3.The Spread: The number of links a student can put together varied from ___ to ___ so the spread is ___. 4.The outliers: The outliers were ___. OR There were no outliers.

More practice… Given Susan’s grades: 84, 85, 90, 97, 65, 34, 100, 81, 88, 67, 68, 71, 77, 91, 95, 87, 88, 87, 90, 75 a)Create a frequency table using at least 10 intervals b)Create a histogram making sure you label both axis and give it a title c)Describe the shape, center, spread, and outliers using complete sentences.

GradesTally marksFrequency

NFL Rushing Statistics Group activity: Make a frequency distribution table for your assigned column of data. Draw the corresponding histogram on graph paper. Write a paragraph about your data that addresses shape, center, spread, and outliers.

Homework: Packet Page 3 NFL Rushing Statistics (finish) Procedure Sheet Signed (if not done already) Remember: Calculator…you need one!! Please see me in tutorial (when is it again?) Homework: Packet Page 3 NFL Rushing Statistics (finish) Procedure Sheet Signed (if not done already) Remember: Calculator…you need one!! Please see me in tutorial (when is it again?)