Math Problem Statement

Construct the cumulative frequency distribution for the given data: Daily Low (°F) and Frequency as shown in the table.

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)FrequencyCumulative Frequency
35-3933
40-4443 + 4 = 7
45-4957 + 5 = 12
50-541012 + 10 = 22
55-59722 + 7 = 29
60-64629 + 6 = 35
65-69135 + 1 = 36

So the cumulative frequency distribution is:

Daily Low (°F)Cumulative Frequency
35-393
40-447
45-4912
50-5422
55-5929
60-6435
65-6936

Would you like more details or have any questions?

Here are some related questions to explore:

  1. How would the cumulative frequency distribution change if another category were added?
  2. What is the importance of cumulative frequency in data analysis?
  3. How can we interpret the cumulative frequency in real-world contexts?
  4. What are other types of frequency distributions commonly used in statistics?
  5. 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