A survey was conducted to find out how many hours per week students spend on social media. The results were as follows: 0-5 hours: 50 students, 5-10 hours: 60 students, 10-15 hours: 40 students, 15-20 hours: 30 students, 20-25 hours: 20 students. What is the relative frequency of each category?
Answer
Step 3: Repeat step 2 for each category. The relative frequencies for '5-10 hours', '10-15 hours', '15-20 hours', and '20-25 hours' are \(\frac{60}{200}=0.3\), \(\frac{40}{200}=0.2\), \(\frac{30}{200}=0.15\), and \(\frac{20}{200}=0.1\) respectively.
Step 1 ：Step 1: Calculate the total number of students surveyed. This is equal to the sum of the number of students in each category. \(50+60+40+30+20=200\) students.
Step 2 ：Step 2: Calculate the relative frequency of each category. This is done by dividing the number of students in each category by the total number of students. For example, the relative frequency of the category '0-5 hours' is \(\frac{50}{200}=0.25\).
Step 3 ：Step 3: Repeat step 2 for each category. The relative frequencies for '5-10 hours', '10-15 hours', '15-20 hours', and '20-25 hours' are \(\frac{60}{200}=0.3\), \(\frac{40}{200}=0.2\), \(\frac{30}{200}=0.15\), and \(\frac{20}{200}=0.1\) respectively.
