~adapted from walch education

A two-way frequency table is a table of data that separates responses by a characteristic of the respondents A trend, or pattern in the data, can be examined using a two-way frequency table.

A joint frequency is the number of responses for a given characteristic. The entries in the cells of a two-way frequency table are joint frequencies. In the sample table, a, b, c, and d are each joint frequencies. A marginal frequency is the total number of times a response was given, or the total number of respondents with a given characteristic. This is the sum of either a row or a column in a two-way frequency table. In the sample table, a + b would be the marginal frequency of people with Characteristic 1.

A conditional relative frequency expresses a number of responses as a percentage of the total number of respondents, the total number of people with a given characteristic, or the total number of times a specific response was given. In the sample table, is the relative frequency of Response 1 for people with Characteristic 1.

Ms. Scanlon surveys her students about the time they spend studying. She creates a table showing the amount of time students studied and the score each student earned on a recent test.

Ms. Scanlon wants to understand the distribution of scores among all the students, and to get a sense of how students are performing and how much students are studying. Find the conditional relative frequencies as a percentage of the total number of students. First, we must find the total number of students represented in the table by summing the joint frequencies… 83 students

~ Ms. Dambreville