Frequency Table Statistics Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

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A frequency table shows test scores in intervals: 50–59 (3), 60–69 (7), 70–79 (10), 80–89 (5), 90–99 (2). Find the total number of students and identify the modal class.

Solution

  1. 1
    Step 1: Find the total count by summing all class frequencies: 3+7+10+5+2=273 + 7 + 10 + 5 + 2 = 27 students.
  2. 2
    Step 2: Compare each class frequency to identify the highest: 70–79 has 10 students, which is the largest.
  3. 3
    Step 3: The modal class is the interval with the highest frequency: the 70–79 interval.

Answer

27 students total. The modal class is 70–79.
Grouped frequency tables use intervals (classes) for continuous data. The modal class is the interval with the greatest frequency — it tells us where most data points fall.

About Frequency Table

A frequency table is a table that records how often each value or category occurs in a data set, organizing raw data into a clear summary with categories in one column and their counts (frequencies) in another.

Learn more about Frequency Table →

More Frequency Table Examples

Example 1 easy

Students were asked how many siblings they have: 0, 1, 2, 1, 3, 1, 0, 2, 1, 1, 2, 0, 1, 3, 2. Create

Example 3 easy

Dice rolls: 3, 5, 2, 6, 3, 1, 4, 3, 5, 2, 6, 3, 4, 1, 5. Create a frequency table for values 1 throu

Example 4 easy

Favourite pets are: Cat, Dog, Dog, Fish, Cat, Dog, Bird, Cat, Fish, Dog, Cat. Create a frequency tab

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