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:
Score | Frequency |
---|---|
0 - 3 | 5 |
4 - 7 | 21 |
8 - 11 | 13 |
12 - 15 | 24 |
16 - 19 | 7 |
20 - 23 | 13 |
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:
- What is the difference between modal class and mean class in a data distribution?
- How do you find the mean and median of grouped data like this?
- Can a distribution have more than one modal class?
- How would you visualize this data in a histogram?
- 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
-
Suitable Grade Level
Grades 6-8