Math Problem Statement
Solution
The image you uploaded involves constructing a grouped relative frequency distribution from survey data.
Steps to calculate the missing relative frequency:
- Total number of responses: 18 (from the given instructions).
- Class intervals: These intervals are divided into ranges such as:
- 0 to 3 hours (relative frequency: 0.11)
- 4 to 7 hours (relative frequency: 0.44)
- 8 to 11 hours (relative frequency: 0.33)
- 12 to 15 hours (relative frequency: 0.06)
- 16 to 19 hours (relative frequency: 0.06)
To calculate the missing value, we first check if the total relative frequency sums to 1, as required in a frequency distribution.
- Sum of given relative frequencies:
Therefore, the total relative frequency already sums to 1, which means the table is correctly filled out.
Missing Relative Frequency:
- The missing relative frequency is 0.06, based on the table setup.
Let me know if you'd like further details or additional assistance!
Here are 5 follow-up questions you might explore:
- How do you calculate relative frequency from raw data?
- What is the purpose of using grouped data in statistics?
- Can relative frequencies be greater than 1?
- How is cumulative relative frequency calculated?
- Why is the sum of relative frequencies always equal to 1?
Tip: Always ensure that the sum of all relative frequencies equals 1 to verify correctness in frequency distributions.
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Math Problem Analysis
Mathematical Concepts
Relative Frequency
Grouped Data
Descriptive Statistics
Formulas
Relative Frequency = (Class Frequency / Total Frequency)
Theorems
Relative Frequency Distribution
Suitable Grade Level
Grades 9-12
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