Math Problem Statement
A frequency table of grades has five classes (A, B, C, D, F) with frequencies of 22, 1414, 1515, 77, and 22 respectively. Using percentages, what are the relative frequencies of the five classes? Question content area bottom Part 1 Complete the table. Grade Frequency Relative frequency A 22 enter your response here% B 1414 enter your response here% C 1515 enter your response here% D 77 enter your response here% F 22 enter your response here% (Round to two decimal places as needed.)
Solution
To find the relative frequency in percentages for each grade class, we need to follow these steps:
- Calculate the total frequency.
- Divide the frequency of each class by the total frequency.
- Convert the resulting ratio to a percentage by multiplying by 100.
- Round to two decimal places.
Step 1: Calculate the Total Frequency
Step 2: Calculate Relative Frequencies
For each grade:
- A:
- B:
- C:
- D:
- F:
Completed Table
Grade | Frequency | Relative Frequency (%) |
---|---|---|
A | 22 | 0.73 |
B | 1414 | 46.67 |
C | 1515 | 49.92 |
D | 77 | 2.54 |
F | 22 | 0.73 |
Would you like more details or have any questions?
Here are five questions you might ask:
- How do you calculate the total frequency in a frequency table?
- What is the formula for calculating relative frequency?
- Why do we convert the relative frequency to a percentage?
- How do you round numbers to two decimal places?
- Can you explain how relative frequencies help in data analysis?
Tip: Always double-check your total frequency before calculating relative frequencies to avoid errors in your results.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Tables
Percentage Calculations
Formulas
Relative Frequency Formula: \( \text{Relative Frequency} = \left(\frac{\text{Frequency}}{\text{Total Frequency}}\right) \times 100 \)
Theorems
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Suitable Grade Level
High School
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