Math Problem Statement
Construct the cumulative frequency distribution for the given data. Daily Low (degrees°F) Frequency
35-39 2 40-44 4 45-49 5 50-54 10 55-59 9 60-64 6 65-69 1 Question content area bottom left Part 1 Construct the cumulative frequency distribution.
Solution
To construct the cumulative frequency distribution for the given data, we will calculate the cumulative frequency by adding the frequency of each class interval to the sum of the previous frequencies.
Here is the data provided:
Daily Low (°F) | Frequency | Cumulative Frequency |
---|---|---|
35-39 | 2 | 2 |
40-44 | 4 | 2 + 4 = 6 |
45-49 | 5 | 6 + 5 = 11 |
50-54 | 10 | 11 + 10 = 21 |
55-59 | 9 | 21 + 9 = 30 |
60-64 | 6 | 30 + 6 = 36 |
65-69 | 1 | 36 + 1 = 37 |
Thus, the cumulative frequency distribution is:
Daily Low (°F) | Frequency | Cumulative Frequency |
---|---|---|
35-39 | 2 | 2 |
40-44 | 4 | 6 |
45-49 | 5 | 11 |
50-54 | 10 | 21 |
55-59 | 9 | 30 |
60-64 | 6 | 36 |
65-69 | 1 | 37 |
Would you like more details on how to calculate this, or any further assistance with cumulative frequency or other concepts?
Additional Questions:
- How do you calculate the cumulative frequency for grouped data?
- What is the difference between a frequency distribution and a cumulative frequency distribution?
- How do you plot the cumulative frequency distribution on a graph?
- What is the significance of cumulative frequency in statistical analysis?
- Can you explain how to find percentiles from cumulative frequency data?
Tip:
When creating cumulative frequency distributions, always remember that the cumulative frequency for the last class should equal the total number of observations in the dataset.
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Math Problem Analysis
Mathematical Concepts
Cumulative Frequency
Grouped Data
Statistics
Formulas
Cumulative Frequency = Previous Cumulative Frequency + Current Frequency
Theorems
Cumulative Frequency Distribution
Suitable Grade Level
Grades 7-10
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