Frequency distribution table

• Construct frequency distribution table

  1. Measure central tendency

  2. Compute mean, median, mode

  3. Group and ungroup data

  4. Compute measures of variation and position
• Frequency distribution


  Collection of observations produced by sorting them into classes and showing their frequency of occurrences in each class
• Types of frequency distribution

  • Categorical
  • Grouped
  • Ungrouped
• Categorical frequency distribution


  Used for data that can be placed in specific categories such as nominal or ordinal level data
• Lower class limit


  Smallest data value that can be included in the class
• Upper class limit


  Largest data value that can be included in the class
• Class boundaries


  Used to separate the classes so that there are no gaps in the frequency
• Class mark


  Midpoint of the classes, calculated as (lower limit + upper limit) / 2
• Class width


  Difference between two consecutive lower class limits
• Cumulative frequency


  Sum of the frequencies for the class in all previous classes
• Steps to construct frequency distribution table

  1. Arrange scores from lowest to highest

  2. Compute range

  3. Determine number of classes

  4. Calculate class width

  5. Assign classes

  6. Find class boundaries

  7. Determine frequency of each class

  8. Calculate class marks
• Cumulative frequency of the last class should equal the total number of observations