Averages from a Grouped Frequency Table

Learn how to find the modal class, median class, and estimate the mean from a grouped frequency table. Let’s get started! πŸš€

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Grouped frequency table showing delivery time intervals in minutes and their corresponding frequencies.Frequency table of delivery times showing modal class 40 < x ≀ 50 with highest frequency of 10.Grouped frequency table for delivery times, showing frequencies and positions to identify the class containing the median. Grouped frequency table showing delivery time intervals and frequencies, with explanations of the modal class, class with the median, estimated mean.

πŸ›ŽοΈ What Is a Grouped Frequency Table?

  • A grouped frequency table organises data into class intervals.
  • Each class shows how many values fall within that interval.

πŸ›ŽοΈ How to Find the Modal Class?

  • The modal class is the class with the highest frequency.
  • It shows where the data occurs most often.

πŸ›ŽοΈ How to Find the Median Class?

  • Add the frequencies to find the total number of values (n).
  • Use (n + 1) Γ· 2 to find the median position.
  • If n = 25, (25 + 1) Γ· 2 = 13, so the class containing the 13th value is the median class.

πŸ›ŽοΈ How to Estimate the Mean?

  • Find the midpoint of each class by adding the lower and upper values and dividing by 2.
  • Multiply each midpoint by its frequency and add the results.
  • Divide this sum by the total frequency to estimate the mean.

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Averages from grouped frequency table

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