Do Now

Think about your neighborhood. Where is it located (general area)? What are some of the societal and economical issues you see today in your neighborhood?

Societal: any social issues of ethnicity, race, gender…etc.

Economical: can be related to living conditions money, etc..

Graphs (7-10 min)

Organize the graphs into whatever information they best represent

1. The proportion of individuals in an office that like to watch certain TV shows

2. How many people want chocolate doughnuts, versus glazed, versus glazed and chocolate

3. Average time spent watching television over the years

4. Distribution of heights within a 10th grade class

Graphs

Distinguishing between different types of graphs and their purpose

Today we will…

Distinguish between different types of graphs and their purpose.

Graphs and their purpose

We just learned about samples and populations. It is important to understand how to properly display data, otherwise, sampling a population would have been for nothing.

Types of graphs

Pie graphs

Bar charts

Line graphs

Histograms

Pie Charts

Pie charts: this graphic representation of data shows us the proportion of individuals/sets/ items etc. that fall within a specific category OUT OF A WHOLE

You are trying to see the parts of a whole aka the proportions for each category.

EXAMPLE: out of 100 people in an office, 40 like CSI, 30 like Bones, 20 like Dexter, and 10 prefer non-crime shows.

This information allows us to make percentages and ratios

Pie chart

Bar graphs

Bar graph: this graph shows us comparisons between different groups. They represent categorical data aka data that can be categorized by a description

Example: how many people prefer glazed doughnuts, sprinkled, chocolate, or chocolate and glazed?

Our class survey is also another example: the ice cream flavors—strawberry, vanilla, and chocolate are all categories.

Bar graph

Line graph

Line graph: this graph can show us data change over time. It is most useful when looking for trends over a long period of time. This can potentially allow us to predict future patterns looking at data from the past. Extremely important in economics

Example: housing prices in the US over the last 10 years.

Line graph

histogram

Histogram: this graph you will be using in your project. This graph allows us to look at continuous data aka data that can have a RANGE of values.

Your data is arranged into bins that represent a subset of the range. You want to measure the FREQUENCYof the data

For example: my age range is from 0-99 years. I may make my “bins” stand for every 10 years 0-10, 11-20, 21-30, 31-40…etc.

Ex: weight of students within a typical high school class room,

height of male students across all grades or ages;

age distribution of individuals within a particular area

histogram

Histogram

Bin: every 1 year

How many in each bin

White board check

Describe briefly what each of the main 4 types of graphs best represent

 

If I wanted to represent the proportion of individuals that spend X amount of time watching certain TV shows, what graph would I use?

 

Give an example of data you would use to make a histogram

Practice 01/221.A researcher is looking to determine the proportion of individuals who prefer certain TV show genres over others. He is comparing between crime-shows, medical-dramas, comedies, and family-friendly sitcoms. He wants to see what TV show genre most adults between the ages of 18-30 spend their time watching. What type of graph best represents the information?

2. Ethan wanted to determine what the distribution was for heart rate between certain age groups. He focused on adults between the ages of 20-45 and sampled these individuals based on socioeconomic background distribution within Los Angeles county. He found that a large portion of his distribution resembled a bell-curve. What graph best represents this information? What is he trying to determine? Who is the sample and population?

3. Over the last 20 years, we have seen a fluctuation in gas prices. Recently however, there has been an all time low since gas prices reached a height of almost $5.00 per gallon within the last 3-5 years. Trends show that gas prices are decreasing as prices per barrel decrease. What graph best suits the data presented? Why?

4. What is the difference between a histogram and a bar graph? Pie chart and bar graph? Give examples for when it would be best to use each one.

 

Exit slip

Describe/draw/define what a histogram shows. Be sure to elaborate on your response

 

I want to show what proportion of people like the colors red, blue, yellow, and pink in my classes. What graph would I use to present that?

 

Explain what a line graph shows us and why it is important.