Use the image to answer the question.

Question

A histogram is titled "Number of Students per Class" with number of students on the horizontal axis and frequency on the y-axis. Seven columns are plotted. The number of students ranges from 14 to 21 in increments of 1. The frequency ranges from 0 to 10 in increments of 1. The graph shows the following data: the frequency of 14 students is 4, the frequency of 15 students is 5, the frequency of 16 students is 3, the frequency of 17 students is 3, the frequency of 18 students is 4, the frequency of 19 is 0, the frequency of 20 students is 2, and the frequency of 21 students is 2.

A school created a histogram to track how many students were in each class in the school. What percentage of classes have under 18 students?

(1 point)
Responses

82.6%
82.6%

34.8%
34.8%

65.2%
65.2%

17.4%

Answer 1

To find the percentage of classes that have under 18 students, we first need to identify the frequencies of classes with student counts less than 18.

From the histogram data presented:

• Frequency of 14 students: 4 classes
• Frequency of 15 students: 5 classes
• Frequency of 16 students: 3 classes
• Frequency of 17 students: 3 classes

Now, let's sum these frequencies:

• Total classes with under 18 students = 4 + 5 + 3 + 3 = 15 classes

Next, we need to determine the total number of classes represented in the histogram. We will sum up the frequencies for all categories:

• Frequency of 14 students: 4
• Frequency of 15 students: 5
• Frequency of 16 students: 3
• Frequency of 17 students: 3
• Frequency of 18 students: 4
• Frequency of 19 students: 0
• Frequency of 20 students: 2
• Frequency of 21 students: 2

Total classes = 4 + 5 + 3 + 3 + 4 + 0 + 2 + 2 = 23 classes

Now, we can calculate the percentage of classes with under 18 students: \[ \text{Percentage} = \left( \frac{\text{Number of classes with under 18 students}}{\text{Total number of classes}} \right) \times 100 \] \[ \text{Percentage} = \left( \frac{15}{23} \right) \times 100 \approx 65.2% \]

The percentage of classes that have under 18 students is approximately 65.2%.

So the correct response is: 65.2%