Making a Relative Frequency Distribution Table

Steps to Create a Relative Frequency Table

1. List Your Data Set

   • Example Data Set: 2, 5, 3, 4, 7, 2, 5, 8, 3, 2, 2, 3, 2, 5, 5, 4, 8, 5, 2, 8

2. Create a Frequency Table

   • Columns: Value (V), Frequency (F), Relative Frequency (RF)

3. Identify Values and Frequencies

   • Value 2: Appears 6 times
   • Value 3: Appears 3 times
   • Value 4: Appears 2 times
   • Value 5: Appears 5 times
   • Value 7: Appears 1 time
   • Value 8: Appears 3 times

4. Sum the Frequencies

   • Total frequency = 6 + 3 + 2 + 5 + 1 + 3 = 20

Calculating Relative Frequencies

• Formula: Relative Frequency = Frequency of Value / Total Frequency

• Calculations:

  • For Value 2: 6/20 = 0.30
  • For Value 3: 3/20 = 0.15
  • For Value 4: 2/20 = 0.10
  • For Value 5: 5/20 = 0.25
  • For Value 7: 1/20 = 0.05
  • For Value 8: 3/20 = 0.15

5. Verify Your Work
   • Add all relative frequencies: 0.30 + 0.15 + 0.10 + 0.25 + 0.05 + 0.15 = 1.00
   • Sum should be 1.0 to ensure calculations are correct

Summary

• To create a relative frequency table:
  • Count the frequency of each value
  • Divide each frequency by the total number of observations to get the relative frequency

Further Learning

• Check out related videos on cumulative relative frequency for continued learning.
• Suggested Channel: Organic Chemistry Tutor
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