Name ___________________ Algebra 1 Module 2 Lesson 10 Relative Frequencies Example 1: Extending the Frequency Table to a Relative Frequency Table Determining the number of students in each cell presents the first step in organizing bivariate categorical data. Another way of analyzing the data in the table is to calculate the relative frequency for each cell. Relative frequencies relate each frequency count to the total number of observations. For each cell in this table, the relative frequency of a cell is found by dividing the frequency of that cell by the total number of responses. Consider the two-way frequency table from the previous lesson. Two-Way Frequency Super To Fly Freeze Time Invisibility Telepathy Total Strength Females 49 60 48 1 70 228 Males 51 71 27 25 48 222 Total 100 131 75 26 118 450 The relative frequency table would be found by dividing each of the above cell values by 450. For example, the relative frequency of females selecting Fly” is 49/ 450, or approximately 0.109 to “To the nearest thousandth. A few of the other relative frequencies to the nearest thousandth are shown in the following relative frequency table: Calculate the remaining relative frequencies in the below. Write each value in the table as a decimal rounded to the nearest thousandth. To Fly Freeze Time Invisibility Super Strength Telepathy Females Males Problem Set Consider the King data from the previous lesson regarding after school activities:
Name ___________________ Algebra 1 Module 2 Lesson 10 Relative Frequencies Example 1: Extending the Frequency Table to a Relative Frequency Table Determining the number of students in each cell presents the first step in organizing bivariate categorical data. Another way of analyzing the data in the table is to calculate the relative frequency for each cell. Relative frequencies relate each frequency count to the total number of observations. For each cell in this table, the relative frequency of a cell is found by dividing the frequency of that cell by the total number of responses. Consider the two-way frequency table from the previous lesson. Two-Way Frequency To Fly Freeze Time Invisibility Super Strength Telepathy Total Females 49 60 48 1 70 228 Males 51 71 27 25 48 222 Total 100 131 75 26 118 450 The relative frequency table would be found by dividing each of the above cell values by 450. For example, the relative frequency of females selecting “To Fly” is 49/ 450, or approximately 0.109 to the nearest thousandth. A few of the other relative frequencies to the nearest thousandth are shown in the following relative frequency table: Calculate the remaining relative frequencies in the below. Write each value in the table as a decimal rounded to the nearest thousandth. To Fly Freeze Time Invisibility Super Strength Telepathy Females Males Problem Set Consider the King data from the previous lesson regarding after school activities:
Algebra1Module2Lesson10.docx