Math Problem Statement
Solution
To construct the cumulative frequency distribution for the given data, we need to sum the frequencies progressively. Here’s the calculation based on the data provided:
Daily Low (°F) | Frequency | Cumulative Frequency |
---|---|---|
35-39 | 3 | 3 |
40-44 | 4 | 3 + 4 = 7 |
45-49 | 5 | 7 + 5 = 12 |
50-54 | 10 | 12 + 10 = 22 |
55-59 | 7 | 22 + 7 = 29 |
60-64 | 6 | 29 + 6 = 35 |
65-69 | 1 | 35 + 1 = 36 |
So the cumulative frequency distribution is:
Daily Low (°F) | Cumulative Frequency |
---|---|
35-39 | 3 |
40-44 | 7 |
45-49 | 12 |
50-54 | 22 |
55-59 | 29 |
60-64 | 35 |
65-69 | 36 |
Would you like more details or have any questions?
Here are some related questions to explore:
- How would the cumulative frequency distribution change if another category were added?
- What is the importance of cumulative frequency in data analysis?
- How can we interpret the cumulative frequency in real-world contexts?
- What are other types of frequency distributions commonly used in statistics?
- How would this data look represented as a cumulative frequency graph?
Tip: Cumulative frequency distributions are especially useful for understanding the accumulation of values up to a certain point in a dataset.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Cumulative Frequency
Formulas
Cumulative Frequency = Sum of all frequencies up to the given class interval
Theorems
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Suitable Grade Level
Grades 7-10
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