Download presentation
Presentation is loading. Please wait.
Published byAngela Roberts Modified over 9 years ago
1
Data: Categorical vs. Quantitative Mr. Diaz Math 3
2
Content Standards & Goals Interpreting Categorical and Quantitative Data Standard: Summarize, represent, and interpret data on a single count or measurement variable. Interpreting Categorical and Quantitative Data Standard Represent data with plots on the real number line (dot plots, histograms, and box plots). Student objective: Students will learn the differences between categorical and quantitative data and how this determines the method to represent the data. In order to reach the goal stated above, we must understand the purpose of learning about these types of data, which are studied in the field of statistics Video: Why Statistics?Why Statistics?
3
The Importance of Data Data - acts or information used usually to calculate, analyze, or plan something (Merriam-Webster)Merriam-Webster Question: What are some reasons that lead us to collect data? (3 min. discussion) To discover trends (poverty, disease, birth rate, temperature) To assess popularity (goods, laws, elections) To make connections between two or more trends (cause & effect, etc.) Ex: Young Adults Ages 18 To 24 Enrolled In Or Completed CollegeYoung Adults Ages 18 To 24 Enrolled In Or Completed College
4
Categorical Data Data that can fit into one of several categories Categories share characteristics that allow them to be grouped to form a data set Concerned about the amount of each category Can determine the percentage of a category in relationship to the whole Categorical data does not have a numerical value Cannot use arithmetic ( +, -, *, ÷) operations because they will not make sense Examples: Blood types, gender, marital status
5
Graphing Categorical Data Bar Graph Shows the numerical values of each category Widely used to relate groups with different characteristics Categories may not add up to a whole pie Pie Chart Shows the amount of each category as a percentage of the total amount These graphs may include the numerical values of each category Commonly used to show how a resource/group is being divided
6
Quantitative Data Data that can be analyzed by applying arithmetic operations Each data value has a numerical value We can look for the rate of change, the average, how much that data is spread out, and many more calculations Review! Mean, median, mode, etc. music videomusic video Concerned with determining trends Increases and decreases over time Effectiveness of treatments (experiments) Examples: Height, annual income, cost of tuition
7
Graphing Quantitative Data Dot Plot Organizes data by plotting on an coordinate plane Can connect data points to make hypotheses about increasing/decreasing and other information Box Plot Created by finding five number summary and plotting each value in a specific order Minimum, 1 st quartile, median, 3 rd quartile, and maximum Histogram This graph is divided into several intervals data values fall within a range CAUTION! This is not a bar plot because a bar plot uses categories. You cannot have a range when using categories.
8
Q: What are the advantages/disadvantages from representing a scenario as categorical or quantitative? Ex: A class has 30 students. The following information shows the grade breakdown: A – 5, B – 6, C – 8, D – 6, and F – 5 Categorical: We can create a pie chart or bar graph to show the percentage of students with a certain grade Quantitative: We can find the average grade and the spread of the data from this average With the given information, answer the question above by spending 3 minutes discussing with your partner.
9
Categorical or Quantitative? Directions: Take 5 minutes to discuss whether the following are examples of categorical or quantitative data sets. The number of siblings a student in this class has The distance each student travels to get to school The amount of hours each student dedicates to studying
10
How to Find Existing Sets of Data The Internet provides many valuable resources that have an enormous amount of collected data, such as: Kids Count Data Center Kids Count Data Center California Department of Education California Department of Education US Census Bureau US Census Bureau Q: With so many resources out there, how can we determine if a data set is appropriate for our needs? (3 min Discussion with partner) May consider the categories values are grouped into Data is up to date Can explain how a data set relates to your argument
11
Using Mathematical Software (RStudio) Easily perform arithmetic calculations Import data into the program Use Excel files to transfer data Graph data using several different methods (pie chart, bar graph, histogram, etc.) Ex: Young Adults Ages 18 To 24 Enrolled In Or Completed College (slide 3)
12
Assessment Directions: Please use the remaining time in class to write a 3-4 sentence response. These assignments will be completed individually and will not be based on the examples stated in class. Include: One example each of categorical and quantitative data The type of graph to represent the data set
13
References Moore, David, George McCabe, and Bruce Craig. Introduction to the Practice of Statistics. Eighth ed. New York City: W.H. Freeman, 2015.
Similar presentations
© 2025 SlidePlayer.com. Inc.
All rights reserved.