Question

the following table shows the grade level of students and what session they attend for an art program

	morning	afternoon	total
grade 8	18	21	39
grade 10	12	26	38
total	45	55	100

answer the following questions using both a fraction and a percentage.

1. what is the percentage of students that are grade level 10 and attend the afternoon session for the art program?
2. of the students that attend the morning session, what percentage are of the 6th grade level?
3. of the 8th graders students who attend the art program, what percentage attend the morning session?

for each question, identify the type of frequency (overall, column, row) and what the denominator of the fraction will be.
1)

• type of frequency:
• denominator is:
• denominator value is

2)

• type of frequency:
• denominator is:
• denominator value is

3)

• type of frequency:
• denominator is:
• denominator value is

Explanation:

Step1: Analyze question 1

We want percentage of students that are grade 10 and attend afternoon session out of all students. So it's overall frequency. Denominator is total number of students.

Step2: Identify values

Total number of students is 100.

Step3: Analyze question 2

We want percentage of 6th - graders out of morning - session students. So it's column frequency. Denominator is total morning - session students.

Step4: Identify values

Total morning - session students is 45.

Step5: Analyze question 3

We want percentage of 8th - graders who attend morning session out of all 8th - graders. So it's row frequency. Denominator is total 8th - graders.

Step6: Identify values

Total 8th - graders is 39.

For question 1:

• Type of Frequency: Overall
• Denominator is: Total number of students
• Denominator Value is 100

For question 2:

• Type of Frequency: Column
• Denominator is: Total morning - session students
• Denominator Value is 45

For question 3:

• Type of Frequency: Row
• Denominator is: Total 8th - graders
• Denominator Value is 39

Answer:

Step1: Analyze question 1

We want percentage of students that are grade 10 and attend afternoon session out of all students. So it's overall frequency. Denominator is total number of students.

Step2: Identify values

Total number of students is 100.

Step3: Analyze question 2

We want percentage of 6th - graders out of morning - session students. So it's column frequency. Denominator is total morning - session students.

Step4: Identify values

Total morning - session students is 45.

Step5: Analyze question 3

We want percentage of 8th - graders who attend morning session out of all 8th - graders. So it's row frequency. Denominator is total 8th - graders.

Step6: Identify values

Total 8th - graders is 39.

For question 1:

• Type of Frequency: Overall
• Denominator is: Total number of students
• Denominator Value is 100

For question 2:

• Type of Frequency: Column
• Denominator is: Total morning - session students
• Denominator Value is 45

For question 3:

• Type of Frequency: Row
• Denominator is: Total 8th - graders
• Denominator Value is 39