Questions: The relative frequency of an x-value is its frequency divided by n. This data set used data from 70 students, so n = 70. Calculate the relative frequency for each x-value. (Round your answers to two decimal places.) x Frequency Relative Frequency 0 8 0.11 1 7 0.10 2 7 0.10 3 7 0.10 4 6 0.09 5 8 0.11 6 7 0.10 7 6 0.09 8 6 0.09 9 8 0.11 Draw a relative frequency histogram using the values 0 through 9 as the class midpoints.

The relative frequency of an x-value is its frequency divided by n. This data set used data from 70 students, so n = 70. Calculate the relative frequency for each x-value. (Round your answers to two decimal places.) x Frequency Relative Frequency 0 8 0.11 1 7 0.10 2 7 0.10 3 7 0.10 4 6 0.09 5 8 0.11 6 7 0.10 7 6 0.09 8 6 0.09 9 8 0.11 Draw a relative frequency histogram using the values 0 through 9 as the class midpoints.
Transcript text: The relative frequency of an x-value is its frequency divided by n. This data set used data from 70 students, so n = 70. Calculate the relative frequency for each x-value. (Round your answers to two decimal places.) x | Frequency | Relative Frequency 0 | 8 | 0.11 1 | 7 | 0.10 2 | 7 | 0.10 3 | 7 | 0.10 4 | 6 | 0.09 5 | 8 | 0.11 6 | 7 | 0.10 7 | 6 | 0.09 8 | 6 | 0.09 9 | 8 | 0.11 Draw a relative frequency histogram using the values 0 through 9 as the class midpoints.
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Solution

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Solution Steps

Step 1: Identify the Data
  • The table provides the frequency of the last digit of SSNs for 20 students.
  • The digits range from 0 to 9.
Step 2: Calculate the Relative Frequency
  • Relative frequency is calculated by dividing the frequency of each digit by the total number of observations (20 students).
Step 3: Perform the Calculations
  • For each digit \( x \), the relative frequency \( f \) is calculated as: \[ f = \frac{\text{Frequency of } x}{20} \]

Final Answer

  • For \( x = 0 \): \( f = \frac{2}{20} = 0.10 \)
  • For \( x = 1 \): \( f = \frac{1}{20} = 0.05 \)
  • For \( x = 2 \): \( f = \frac{0}{20} = 0.00 \)
  • For \( x = 3 \): \( f = \frac{1}{20} = 0.05 \)
  • For \( x = 4 \): \( f = \frac{0}{20} = 0.00 \)
  • For \( x = 5 \): \( f = \frac{1}{20} = 0.05 \)
  • For \( x = 6 \): \( f = \frac{7}{20} = 0.35 \)
  • For \( x = 7 \): \( f = \frac{0}{20} = 0.00 \)
  • For \( x = 8 \): \( f = \frac{6}{20} = 0.30 \)
  • For \( x = 9 \): \( f = \frac{2}{20} = 0.10 \)
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