Name: _________________________________
Group: ____ Period: ____ Date: _________
10.3 Relative Frequency Conditional Distribution
Because each Math 3 class has a different number of students, the relative frequencies cannot help determine
which class is doing the “best.” Instead, you can use a relative frequency conditional distribution to determine this
information. A relative frequency conditional distribution is the percent or ratio of occurrences of a category
given the specific value of another category.
Let’s construct a relative frequency conditional distribution of grades with the classes.
1. Use the information from Lesson 10.2 to determine the relative frequency for each grade given in that
particular class.
Grades of Mrs. Falt’s Math 3 Classes
A
Per. 1
Per. 2
B
6
C
D
F
TOTAL
/37 = 16.3%
7
/32 = 21.9%
Per. 3
4
/31 = 12.9%
2. Interpret the relative frequency conditional distributions of each class.
Per 1: ______________________________________________________________________________________
Per 2: ______________________________________________________________________________________
Per 3: ______________________________________________________________________________________
3. Use the relative frequency conditional distribution to answer each question.
a. What percent of the period 1 students are passing?
b. What percent of the period 2 students are passing?
c. What percent of the period 3 students are passing?
d. Which class is doing the best according to their grades? Explain your reasoning.
e. How does this compare to the statement Joe made in Lesson 10.2, Question 8?
Mrs. Falt also teaches two Math 3/4 classes. Their 3rd quarter grades are represented in the table below. (See what
happens when you do your homework consistently!)
Grades of Mrs. Falt’s Math 3/4 Classes
Per. 4
A
7
B
25
C
3
D
2
F
1
Per. 5
13
19
5
0
0
TOTAL
TOTAL
4. Complete the frequency marginal distribution for the data given above.
5. Create a relative (includes ratios) frequency marginal (includes totals) distribution of the data.
A
B
C
D
F
TOTAL
Per. 4
Per. 5
Total
6. Create a relative frequency conditional distribution of the data for each particular period. Include totals.
A
Per. 4
Per. 5
B
C
D
F
TOTAL