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To calculate the probability that the next spin will land on yellow based on the given frequency data, we will follow these steps:

### Step 1: Add up the total number of spins
The total number of spins is the sum of the frequencies for all the colors:

\[
\text{Total spins} = 4 (\text{Red}) + 16 (\text{Blue}) + 6 (\text{Green}) + 11 (\text{Yellow}) + 9 (\text{Purple})
\]

\[
\text{Total spins} = 46
\]

### Step 2: Calculate the probability for yellow
The probability of landing on yellow is the ratio of the number of yellow outcomes to the total outcomes:

\[
P(\text{Yellow}) = \frac{\text{Frequency of Yellow}}{\text{Total spins}} = \frac{11}{46}
\]

### Step 3: Convert the probability to a percentage
To express this probability as a percentage:

\[
P(\text{Yellow}) \times 100 = \frac{11}{46} \times 100 \approx 23.91\%
\]

### Step 4: Round to the nearest whole number
The nearest whole number is:

\[
P(\text{Yellow}) \approx 24\%
\]

### Conclusion:
The probability that the next spin will land on yellow, expressed as a percentage, is **24%**.

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Do you need further details or have any questions? 

Here are five related questions you might explore:
1. What is the probability of landing on red based on the data?
2. How would the probability change if the spinner were spun 100 more times with equal outcomes across colors?
3. What is the combined probability of landing on either blue or purple?
4. How can we use this data to determine if the spinner is biased toward a specific color?
5. How does the probability for each color change if yellow is removed from the spinner?

**Tip**: To find probabilities, always divide the favorable outcomes by the total possible outcomes!

Based on these results, express the probability that the next spin will land on yellow as a percent to the nearest whole number.

Learn how to calculate the probability of landing on yellow on a spinner. Based on a dataset of spinner outcomes, we break down the calculation step-by-step, turning a ratio into a percentage. Suitable for Grades 6-8.

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