To solve the problem, we need to determine the
relative frequency of being a junior and liking chocolate best. Let's break this down step by step.
Step 1: Understand the given data
The table provides information about the favorite ice cream flavors of juniors and seniors. Here is the relevant part of the table:
| | Vanilla | Chocolate | Strawberry | Total |
|-----------|---------|-----------|------------|-------|
| Juniors | 7 | 13 | 0 | 20 |
| Seniors | 6 | 10 | 4 | 20 |
| Total | 13 | 23 | 4 | 40 |
From the table:
- The number of juniors who like chocolate best is
13.
- The total number of students surveyed is
40.
Step 2: Define relative frequency
The relative frequency of an event is calculated as:
\[
\text{Relative Frequency} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]
In this case:
- The "favorable outcome" is being a junior and liking chocolate best.
- The "total number of outcomes" is the total number of students surveyed.
Step 3: Identify the number of favorable outcomes
From the table, the number of juniors who like chocolate best is
13.
Step 4: Identify the total number of outcomes
The total number of students surveyed is
40.
Step 5: Calculate the relative frequency
Using the formula for relative frequency:
\[
\text{Relative Frequency} = \frac{\text{Number of juniors who like chocolate best}}{\text{Total number of students}}
\]
\[
\text{Relative Frequency} = \frac{13}{40}
\]
Step 6: Simplify the fraction (if necessary)
The fraction \(\frac{13}{40}\) is already in its simplest form.
Final Answer:
The relative frequency of being a junior and liking chocolate best is:
\[
\boxed{\frac{13}{40}}
\]
Parent Tip: Review the logic above to help your child master the concept of two way tables and relative frequency worksheet answers.
