Download 5.1 Frequency Tables and more Schemes and Mind Maps Mathematical Statistics in PDF only on Docsity!
Write your questions here!
5.1 Frequency Tables
What is your favorite soft drink?
Categorical Data TWO WAY FREQUENCY TABLE
Coke Dr Pepper Sprite Mountain Dew High School
Middle School
Which Wednesday afterschool activity are you involved in?
TWO WAY FREQUENCY TABLE
ACTIVITY
Basketball Math Club Band Not Involved Total
Male 30 50 98
Female 26 14 30
Total 42 22
How many students are surveyed? How many students are in math club?
RELATIVE FREQUENCY TABLE
ACTIVITY
Basketball Math Club Band Not Involved Total
Male
Female
Total
What percent of students surveyed are Male?
What percent of students surveyed are Females in Basketball?
NOTES
GENDER
GENDER
TWO WAY FREQUENCY TABLE
AGE
12-13 14-15 16-17 18-19 Total Yes 40 47 42 22 151
No 10 25 36 34 105
Total 50 72 78 56
ASSOCIATION
CONDITIONAL RELATIVE FREQUENCY TABLE
Given a student’s age, find the conditional relative frequency the student shares a computer.
AGE 12-13 14-15 16-17 18-19 Total Yes
No
Total
Suppose you select a person at random, if the person is 15 years old, do you think that they share a computer?
CONDITIONAL RELATIVE FREQUENCY TABLE
Given a student shares a computer, find the conditional relative frequency of the student’s age.
AGE 12-13 14-15 16-17 18-19 Total Yes
No
Total
Suppose you select a person at random, if the student shares a computer, how likely are they to be 16-17 years old?
SUMMARY:
SMP
Share a Computer
Share a Computer
Share a Computer
Use the two way frequency table to answer the following.
GENDER Male Female Total Punk 24 10 34 Techno 4 1 5 Classic 18 12 30 Metal 9 8 17 Total 55 31 86
a. What type of music do females like most?
b. What is the most popular type of music among men and women?
c. What is the least favorite music for men?
d. How many people were surveyed?
e. For which gender was the response greater?
f. What percent of the participants were female?
Finish converting the two way frequency table above into a conditional frequency table described below.
- Given a person’s gender find the conditional relative frequency of the person’s music type. Gender Male Female Total Punk
Techno
Classic
Metal
Total
a. What percent of Male’s prefer Metal?
b. What percent of Female’s prefer Punk?
- Given a person’s music type find the conditional relative frequency of the person’s gender. Gender Male Female Total Punk
Techno
Classic
Metal
Total
a. Given a person prefers Punk music, what percent are Male?
b. If you randomly selected a person that prefers Classic music, what is the probability the person is female?
- Is there an association between gender and music preference? Construct a viable argument to support.
Use the two way frequency table to answer the following.
- A school newspaper surveyed the student body for an article about club membership. The table below shows the students’ club membership by grade level.
of clubs involved in
0 clubs 1 club
clubs
3 or more
th (^52 16 8 )
10 th^34 26 12
11 th^28 21 14
th (^22 28 16 )
a. What percent of freshmen are in 1 or more clubs?
b. What percent of the school body is involved in 2 clubs?
c. Given a student is involved in 3 or more clubs, what percent are in 12th^ grade?
MUSIC TYPE
Music Type Music Type
Grade Level
SMP
Solve the following.
- (^ )^ 13. 14.
Graph the following.
5.1 Frequency Tables
- 182 Freshmen were surveyed on whether they participate in a sport. 110 said yes, 40 boys said no, 90 girls were in
the survey. a. Create a two way frequency table and include marginal frequency.
b. What is the relative frequency of girls that play sports?
WRAP UP
