Consider the following frequency table representing the distribution of hours students spend on homework in a week. Determine the relative frequency for the second class as a simplified fraction.

Answer

To find the relative frequency for the second class, follow these steps: 1. Sum all the frequencies in the table to find the total number of data points (N). The frequencies are 3, 3, 9, 3, and 9. Total = 3 + 3 + 9 + 3 + 9 = 27. 2. Identify the frequency of the second class (16-21). Looking at the table, the frequency for this class is 3. 3. Calculate the relative frequency by dividing the class frequency by the total frequency. Relative frequency = Class Frequency / Total Frequency = 3 / 27. 4. Simplify the fraction. Both 3 and 27 are divisible by 3. 3 ÷ 3 = 1 and 27 ÷ 3 = 9. Therefore, the simplified fraction for the relative frequency of the second class is 1/9.