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Find the modal score from a frequency table of dice rolls

Check the final answer first, then review the worked steps.

Problem

Find the modal score from a frequency table of dice rolls

Answer

3

Step-by-step solution

  1. Understand the definition of the mode: The mode (or modal score) is the value that appears most frequently in a data set. In a frequency table, it is the score that corresponds to the highest frequency value.

2. Analyze the frequency table: We look at the 'Frequency' column to identify the largest number:
- Score 1: Frequency 4
- Score 2: Frequency 1
- Score 3: Frequency 8
- Score 4: Frequency 3
- Score 5: Frequency 4
- Score 6: Frequency 5

  1. Identify the highest frequency: Comparing the frequencies (4, 1, 8, 3, 4, 5), the highest value is 8.
  1. Determine the modal score: The score associated with the highest frequency (8) is 3. Therefore, 3 is the modal score.