To determine the percentage of students who grabbed more than 29 snacks, we need to analyze the given stemplot and follow these steps:
1. Count the total number of students:
The stemplot displays the data for bites of snacks grabbed by students. Each number represents one student. Let's count the total number of students:
- In the first row, the stem '1' with leaves '5566677888899' represents 13 students.
- In the second row, the stem '2' with leaves '00011122337999' represents 14 students.
- In the third row, the stem '3' with leaves '2248' represents 4 students.
- In the fourth row, the stem '4' with leaf '2' represents 1 student.
Adding these up:
[tex]\[
13 + 14 + 4 + 1 = 32 \text{ students}
\][/tex]
2. Identify the number of students who grabbed more than 29 snacks:
We need to find the digits in the stemplot that represent students who grabbed more than 29 snacks. These students can be found in the rows where the stems are '3' or '4'.
- For stem '3': the leaves are '2248'. This represents the numbers 32, 32, 34, and 37.
- For stem '4': the leaf is '2'. This represents the number 42.
Counting these:
[tex]\[
32, 32, 34, 37, 42
\][/tex]
This gives us 5 students. Additionally, the second row of stem '2' has two additional '9's (29, 29) that's greater than 29 but not included initially.
Counting again with these:
[tex]\[
32, 32, 34, 37, 42, 29, 29
\][/tex]
Totals to 7 students.
3. Calculate the percentage of students who grabbed more than 29 snacks:
We know there are a total of 32 students and 7 of them grabbed more than 29 snacks. To find the percentage, we use the formula:
[tex]\[
\text{Percentage} = \left( \frac{\text{Number of students grabbing more than 29 snacks}}{\text{Total number of students}} \right) \times 100
\][/tex]
Substituting in the numbers:
[tex]\[
\text{Percentage} = \left( \frac{6}{32} \right) \times 100 = 18.75\%
\][/tex]
Given this result, the correct percentage of students who grabbed more than 29 snacks is
[tex]$ \boxed{18.75 \%} $[/tex]
