Use the table to answer the question vanilla sprinkles 102 jelly beans 73 chocolate sprinkles 65 chocolate jelly beans 125 you have gathered your grades votes for favorite ice cream flavor and toppings when you organize the data in a two-way frequency table interpret the table to generate a two-way table vanilla with sprinkles percent jelly beans percent chocolate 34 chocolate jelly beans 66

1 answer

To generate a two-way frequency table based on the provided data about favorite ice cream flavors and toppings, we first need to understand and organize the data you provided. It appears that you've listed counts of votes for different combinations of ice cream flavors and toppings.

Here's the data as described:

| Flavor/Topping | Count | |-----------------------|-------| | Vanilla with Sprinkles | 102 | | Vanilla with Jelly Beans | 73 | | Chocolate with Sprinkles | 65 | | Chocolate with Jelly Beans | 125 |

We'll create a two-way frequency table with two main categories: Ice Cream Flavor and Toppings.

Two-Way Frequency Table

| Ice Cream Flavor | Sprinkles | Jelly Beans | Total | |----------------------|-----------|-------------|-------| | Vanilla | 102 | 73 | 175 | | Chocolate | 65 | 125 | 190 | | Total | 167 | 198 | 365 |

Percentage Calculation

Now, we'll calculate percentages for each cell in the table based on the total:

  1. For Vanilla with Sprinkles:

    • \( \frac{102}{365} \times 100 \approx 27.9% \)
  2. For Vanilla with Jelly Beans:

    • \( \frac{73}{365} \times 100 \approx 20.0% \)
  3. For Chocolate with Sprinkles:

    • \( \frac{65}{365} \times 100 \approx 17.8% \)
  4. For Chocolate with Jelly Beans:

    • \( \frac{125}{365} \times 100 \approx 34.2% \)

Updated Table with Percentages

To simplify the representation, we can present the table with percentages alongside the counts:

| Ice Cream Flavor | Sprinkles | Jelly Beans | Total Votes | |----------------------|-----------------|------------------|-------------| | Vanilla | 102 (27.9%) | 73 (20.0%) | 175 | | Chocolate | 65 (17.8%) | 125 (34.2%) | 190 | | Total | 167 | 198 | 365 |

Conclusion

From this table, you can interpret voters' preferences regarding ice cream flavors and their favorite toppings. The highest preference appears to be Chocolate with Jelly Beans, while the lowest preference is Chocolate with Sprinkles.