Question

On a recent survey, students were asked if they like to fly and if they can drive. The partial results are given in the relative frequency table. Complete the relative frequency table, showing all necessary calculations.

Answer 1

To complete the relative frequency table, count the occurrences of each number of siblings, divide these counts by the total number of data points to get the relative frequencies, and add them in succession to calculate cumulative relative frequencies.

Step-by-step explanation:

The subject question deals with completing a relative frequency table based on survey results. To find the relative frequency of a value, you divide the frequency of that value by the total number of data points. To calculate the cumulative relative frequency, you add the relative frequency of all the previous values to that of the current value. For example, if the survey reveals that 5 out of 20 students have no siblings, the relative frequency is 5/20 or 25%. If the next frequency in the table is 7 students having one sibling, its relative frequency is 7/20, and the cumulative relative frequency for no or one sibling would be the sum of the two previous relative frequencies (25% + 35%).

To complete your frequency table:

1. Count the number of students with each number of siblings and list these counts in the frequency column.
2. Divide each frequency by the total number of students to find the relative frequency for that group.
3. Add the relative frequencies together row by row to compute the cumulative relative frequency for each number of siblings.

Following these steps, respond to the questions with the percentage figures (relative frequencies) as per the table:

• What percentage of the students in your class have no siblings?
• What percentage of the students have from one to three siblings?
• What percentage of the students have fewer than three siblings?