A student survey was conducted at a major university, and data were collected from a random sample of 750 undergraduate students. One variable that was recorded for each student was the student's answer to the question "With whom do you find it easiest to make friends? Opposite sex/same sex/no difference."These data would be best displayed using which of the following?
Question
A student survey was conducted at a major university, and data were collected from a random sample of 750 undergraduate students. One variable that was recorded for each student was the student's answer to the question "With whom do you find it easiest to make friends? Opposite sex/same sex/no difference."These data would be best displayed using which of the following?
Solution
To display the data collected from the student survey, the best option would be to use a bar graph or a pie chart.
Step 1: Determine the categories for the variable "With whom do you find it easiest to make friends?" In this case, the categories are "opposite sex," "same sex," and "no difference."
Step 2: Count the number of students who selected each category. For example, if 250 students selected "opposite sex," 350 students selected "same sex," and 150 students selected "no difference," these numbers would be recorded.
Step 3: Choose the appropriate graph to display the data. A bar graph would be suitable for comparing the number of students in each category. Each category would be represented by a separate bar, and the height of each bar would correspond to the number of students in that category.
Step 4: If you prefer to show the proportions or percentages of students in each category, a pie chart would be a better choice. Each category would be represented by a slice of the pie, and the size of each slice would correspond to the proportion or percentage of students in that category.
Step 5: Label the graph or chart with a title that clearly indicates the variable being displayed and the sample size (e.g., "Distribution of Students' Easiest Friendships by Gender Preference - N=750").
Step 6: Include a legend or key to explain the meaning of each category (e.g., "Opposite Sex," "Same Sex," "No Difference").
Step 7: Ensure that the graph or chart is clear, easy to read, and visually appealing. Use appropriate colors and fonts, and provide any necessary additional information or context to aid interpretation.
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