A student wants to use the table to create a pie chart demonstrating the cake preferences of their classmates. Find the percent of students who prefer vanilla cake. <img class="image-blot" src="data:image/png;base64,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">

Welcome to the pie chart practice. In this problem, we're given a frequency table showing the cake preferences of various students. What we'd like to do is find the percent of students who prefer vanilla cake, which we know would be the first step if we wanted to take this data and create a pie chart. Now remember, if we wanna find the percentage of a category, we can find the relative frequency of that category. In the concept video, we reviewed the formula for that. It is f over n times 100%. As a reminder, f is the category frequency, and n is the total number of responses. Now we know that we wanna focus on the category vanilla, and we can see that f here is 32 because that's the number of students who said vanilla. But to find the total number of responses, we would have to add up all of those f's or add up all of our category totals to find the total number of responses. So that should be 32 plus 55 plus 34 plus 49. And you can pause the video, do it yourself, but it will be one sixty. Awesome. So now I'm just gonna plug it into the formula. For vanilla, we have 32 for f. We have one sixty for n. And, of course, we wanna multiply by a % to put it in percent format. Simplifying 32 over one sixty gets us point two times a %, and, of course, that would just be 20%, meaning that 20% of students prefer vanilla cake. Awesome work.

2. Describing Data with Tables and Graphs

Pie Charts

Statistics

2. Describing Data with Tables and Graphs

Pie Charts

Struggling with Statistics?

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Multiple Choice

A student wants to use the table to create a pie chart demonstrating the cake preferences of their classmates. Find the percent of students who prefer vanilla cake.

$20 percent sign$

$18.8 percent sign$

$23.2 percent sign$

$81.2 percent sign$

Verified step by step guidance

Step 1: Begin by identifying the total number of students surveyed. To do this, sum up the frequencies for all cake flavors: Vanilla (32), Chocolate (55), Marble (34), and Other (49). Use the formula: Total = 32 + 55 + 34 + 49.

Step 2: Calculate the proportion of students who prefer vanilla cake. Divide the frequency of vanilla cake (32) by the total number of students obtained in Step 1. Use the formula: Proportion = Frequency of Vanilla / Total.

Step 3: Convert the proportion obtained in Step 2 into a percentage. Multiply the proportion by 100 to express it as a percentage. Use the formula: Percentage = Proportion × 100.

Step 4: Verify your calculation by ensuring the sum of percentages for all cake flavors equals approximately 100%. This step helps confirm the accuracy of your work.

Step 5: Use the percentage calculated in Step 3 to create the pie chart segment for vanilla cake. Label the segment with the percentage value and ensure the chart visually represents the proportions of all cake preferences.

6:10m

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