A survey was conducted in a school to find out the favorite color of students. The frequency distribution table is given below. Find the cumulative frequency of the frequency table.
Answer
Step 3: The cumulative frequencies are: \(20, 20+15, 20+15+25, 20+15+25+30, 20+15+25+30+10\), which simplifies to \(20, 35, 60, 90, 100\).
Step 1 ：Step 1: List the data in order of increasing magnitude. The colors are already in order, and the corresponding frequencies are: \(20, 15, 25, 30, 10\).
Step 2 ：Step 2: To find the cumulative frequency, add up the frequencies as you move down the table. The first cumulative frequency is the first frequency, the second cumulative frequency is the sum of the first two frequencies, and so on.
Step 3 ：Step 3: The cumulative frequencies are: \(20, 20+15, 20+15+25, 20+15+25+30, 20+15+25+30+10\), which simplifies to \(20, 35, 60, 90, 100\).
