Questions: Answer Step 1 of 22: Determine the relative frequency for the fourth class as a simplified fraction. Hours Students Watch TV in a Week Frequency Class Frequency 16-24 11 25-33 6 34-42 11 43-51 7 52-60 10

Answer Step 1 of 22: Determine the relative frequency for the fourth class as a simplified fraction. Hours Students Watch TV in a Week Frequency Class Frequency 16-24 11 25-33 6 34-42 11 43-51 7 52-60 10
Transcript text: Answer Step 1 of 22: Determine the relative frequency for the fourth class as a simplified fraction. Hours Students Watch TV in a Week Frequency Class Frequency 16-24 11 25-33 6 34-42 11 43-51 7 52-60 10
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Solution

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Solution Steps

To determine the relative frequency for the fourth class (43-51 hours), we need to follow these steps:

  1. Calculate the total number of students by summing the frequencies of all classes.
  2. Find the frequency of the fourth class.
  3. Divide the frequency of the fourth class by the total number of students to get the relative frequency.
  4. Simplify the fraction if possible.
Step 1: Calculate Total Students

The total number of students is calculated by summing the frequencies of all classes: \[ \text{Total Students} = 11 + 6 + 11 + 7 + 10 = 45 \]

Step 2: Identify Frequency of the Fourth Class

The frequency of the fourth class (43-51 hours) is: \[ \text{Fourth Class Frequency} = 7 \]

Step 3: Calculate Relative Frequency

The relative frequency for the fourth class is given by the formula: \[ \text{Relative Frequency} = \frac{\text{Fourth Class Frequency}}{\text{Total Students}} = \frac{7}{45} \approx 0.1556 \]

Step 4: Simplify the Fraction

The relative frequency as a simplified fraction is: \[ \text{Simplified Fraction} = \frac{7}{45} \]

Final Answer

The relative frequency for the fourth class is \\(\boxed{\frac{7}{45}}\\).

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