Coordinate Algebra Unit 4 – Describing DataNotes / Classwork

Name: ______Date: ______

Two-way Frequency Charts

Class Data:

Preferred Brand Names
Gender / Gucci / Louis Vuitton / Versace / Total
Male
Female
Total
/ Preferred Brand Names(percentages)
Gender / Gucci / Louis Vuitton / Versace / Total
Male
Female
Total

Question 1: how many students prefer Gucci?

Question 2: What percentage of male students prefers Louis Vuitton or Versace?

There are essentially two types of data: quantitative and categorical.

  • Examples ofcategorical data: ______

Graphs often used with categorical data: ______

  • Examples of quantitative data: ______

Graphs often used with quantitative data: ______

Mean, median, mode apply to quantitative data.

Bivariate data consists of ______of linked numerical observations, or ______of things in categories.

  • An example would be the number of people that play certain sports or are in certain clubs at your school broken down by gender.

A bivariate or two-way frequency chart is often used with data from ______categories.

If no person or thing can be in more than one category per scale, the entries in each cell are called ______relative frequencies.

There is also what we call ______relative frequencies.These frequencies lack one of the categories. The marginal frequencies on the right represent percent of club membership.

Lastly, associated with two-way frequency charts are conditional frequencies. These arenot usually in the body of the chart, but can be readily calculated from the cell contents.


Check for Understanding:

Elizabeth surveys 9th graders, 10th graders, and 11th graders in her school. She asks each student how many hours they spend doing homework each night. She records the responses in the table below.

a)Out of the 9th graders, what percent spent0–2 hours on homework each night?

b)Out of the 10th graders, what was the most common hours spent on homework?

Practice #1:

Cameron surveys students in his school who play sports, and asks them which sport they prefer. He records the responses in the table below.

a)What is the probability that a male student that preferred soccer?

b)What is the probabilitythat a female student that preferred basketball?

Practice #2:

Abigail surveys students in different grades, and asks each student which pet they prefer. The responses are in the table below.

a)What is the conditional probability of 10th graders who prefer having fish or a cat as a pet?

b)What is the probability that a 10th grader prefers a dog?

Practice Problems Adapted from: Walch Education Resources: CCGPS Coordinate Algebra Teacher Resource Binder