MATHEMATICS 7

• Frequency Distribution Table


  Organizes data in grouped format
• Frequency Distribution Table


  • Class midpoint
  • Class boundary
  • Relative frequency
  • Cumulative frequency
• Class midpoint


  Average of the upper and lower class limits
• Odd numbered class size yields an integer class mark, even numbered class size yields a decimal class mark
• Class boundaries


  Lower limit = class limit - 0.5, Upper limit = class limit + 0.5
• Relative frequency


  Portion or percent of the data that falls in that class, calculated as frequency / total frequency * 100%
• Cumulative frequency


  Adding the frequency starting from the lowest class interval up to the highest class interval
• There are 15 students whose score is within the range of 29 to 38
• 10% of the students obtained scores from 9 to 13
• There are 16 students whose score is less than 23.5
• Frequency Distribution Table


  Another way to organize and present statistical data. The values in the set of data are grouped into classes and number of cases (frequency) that fall in each class is recorded.
• Frequency Distribution Table


  • Used when a set of data has many entries or is very large. The data is presented by grouping the data into intervals called classes and forming a frequency distribution.
• Frequency


  The number of data entries in a class
• Constructing a Frequency Distribution Table

  1. Find the range (R) = highest value - lowest value

  2. Determine the number of classes (k) = square root of the number of entries (n) in the data set

  3. Divide the range by the number of classes and round up to the next convenient number to determine the class size or class width (c)

  4. Continue determining the class interval until highest value in the data is contained within the last class interval

  5. Tally the entries for each class
• The frequency distribution table shows class intervals of data entries with a count of the number of entries in each class
• The objectives of this study are to enumerate the steps in organizing a set of data in a frequency distribution table, construct a frequency distribution table from a given set of data, and appreciate the importance of organizing data in a real-life situation