Question

Mrs. Webster surveyed her class of 20 students. She asked each student to identify his or her favorite sport out of a list of five sports. Each student could only choose one sport and everyone participated. The results of the survey are shown in the chart. $$ \begin{array}{|l|l|} \hline \text { Football } & 8 \\ \hline \text { Basketball } & 5 \\ \hline \text { Baseball } & 4 \\ \hline \text { Soccer } & 2 \\ \hline \text { Hockey } & 1 \\ \hline \end{array} $$ What fraction of the class chose hockey? A. \(\frac{1}{20}\) B. \(\frac{1}{10}\) C. \(\frac{1}{5}\) D. \(\frac{1}{4}\)

Short answer

A. \(\frac{1}{20}\)

Step-by-step solution

- Identify the Total Number of Students

The total number of students surveyed is given as 20.

- Identify the Number of Students Who Chose Hockey

From the chart, see that the number of students who chose hockey is 1.

- Set Up the Fraction

To find the fraction of the class that chose hockey, use the number of students who chose hockey over the total number of students. This fraction is \(\frac{1}{20}\).

- Select the Correct Answer

From the given choices, \(\frac{1}{20}\) matches option A.

Key concepts

fraction calculation

Calculating fractions involves breaking down a whole into parts. In our example, the whole is the total number of students surveyed: 20. Each part represents the number of students who selected each sport. To find the fraction representing the number of students who chose hockey, we look at the count of students that chose hockey (1) and place it over the total number of students (20). Thus, the fraction is \(\frac{1}{20}\). This is a simple way to show the proportion of students who picked hockey.

survey analysis

Survey analysis involves interpreting data collected from respondents. Here, Mrs. Webster conducted a survey asking her 20 students their favorite sport out of five options. The results were presented in a chart, showing how many students preferred each sport. By analyzing these figures, we can understand the popularity distribution of each sport among the students. For example, football was the most popular with 8 votes, indicating a higher preference among the surveyed group.

data interpretation

Data interpretation is crucial to extract meaningful insights from survey results. In our scenario, we look at a chart with the number of students preferring each sport. Each number in the chart represents raw data. To interpret this data, we convert it into fractions to understand the relative popularity. For instance, to find out what fraction of students chose hockey, we note that 1 student chose hockey out of a total of 20 students. This results in a fraction of \(\frac{1}{20}\). This helps us comprehend that hockey is the least popular sport among the students surveyed.

basic arithmetic

Basic arithmetic skills help in performing simple calculations like addition, subtraction, multiplication, and division. For this problem, we use division to find the fraction of the class that favors hockey. We divide the number of hockey enthusiasts (1) by the total number of students (20). This results in \(\frac{1}{20}\). Using these skills ensures accuracy and simplifies the process of solving fraction problems in survey data. Regular practice of arithmetic helps enhance these essential skills.