Math Problem Statement

What is the modal class of scores from the table showing scores awarded to competitors in a dance competition?

Solution

The modal class in a frequency distribution is the class interval with the highest frequency. From the table provided:

ScoreFrequency
0 - 35
4 - 721
8 - 1113
12 - 1524
16 - 197
20 - 2313

The class interval with the highest frequency is 12 - 15 with a frequency of 24.

Therefore, the modal class is 12 - 15.

Would you like further details on this concept, or do you have any other questions?

Here are five related questions to explore:

  1. What is the difference between modal class and mean class in a data distribution?
  2. How do you find the mean and median of grouped data like this?
  3. Can a distribution have more than one modal class?
  4. How would you visualize this data in a histogram?
  5. What are some real-life applications of identifying the modal class in data?

Tip: In grouped data, the modal class provides a quick insight into where the majority of data points fall within specific intervals, helping identify trends or peaks in the data distribution.

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Math Problem Analysis

Mathematical Concepts

Statistics
Frequency Distribution
Mode
Modal Class

Formulas

Modal class is the class interval with the highest frequency in a frequency distribution.

Theorems

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Suitable Grade Level

Grades 6-8