L Question 6 of 11 (2 points) I Question Attempt: 1 of Unlimited Construct a cumulative frequency distribution using 7 classes. Cumulative frequency Less than 54.5 Less than 62.5 Less than 70.5 Less than 78.5 Less than 86.5 Less than 94.5 Less than 1102.5

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UpStudy AI · Accepted Answer

To construct a **cumulative frequency distribution** with the given **7 class boundaries**, you need the frequency (the number of observations) for each class interval. However, you've provided only the upper limits of each class.

Here's a step-by-step guide on how to create the cumulative frequency distribution once you have the frequencies:

1. **Define the Class Intervals:**
   Based on the upper limits provided, the class intervals would be:
   
   | Class Interval | Upper Limit |
   |----------------|-------------|
   |  ≤ 54.5        | 54.5        |
   | 54.5 – ≤62.5    | 62.5        |
   | 62.5 – ≤70.5    | 70.5        |
   | 70.5 – ≤78.5    | 78.5        |
   | 78.5 – ≤86.5    | 86.5        |
   | 86.5 – ≤94.5    | 94.5        |
   | 94.5 – ≤102.5   | 102.5       |

2. **List the Frequencies:**
   Suppose you have the following frequencies for each class:
   
   | Class Interval | Frequency |
   |----------------|-----------|
   | ≤ 54.5         | 5         |
   | 54.5 – ≤62.5    | 8         |
   | 62.5 – ≤70.5    | 12        |
   | 70.5 – ≤78.5    | 7         |
   | 78.5 – ≤86.5    | 10        |
   | 86.5 – ≤94.5    | 6         |
   | 94.5 – ≤102.5   | 2         |

3. **Calculate Cumulative Frequencies:**
   Add each frequency to the sum of the previous frequencies.
   
   | Class Interval | Frequency | Cumulative Frequency |
   |----------------|-----------|----------------------|
   | ≤ 54.5         | 5         | 5                    |
   | 54.5 – ≤62.5    | 8         | 5 + 8 = 13           |
   | 62.5 – ≤70.5    | 12        | 13 + 12 = 25         |
   | 70.5 – ≤78.5    | 7         | 25 + 7 = 32          |
   | 78.5 – ≤86.5    | 10        | 32 + 10 = 42         |
   | 86.5 – ≤94.5    | 6         | 42 + 6 = 48          |
   | 94.5 – ≤102.5   | 2         | 48 + 2 = 50          |

4. **Final Cumulative Frequency Distribution:**

| Class Interval | Cumulative Frequency |
   |----------------|----------------------|
   | ≤ 54.5         | 5                    |
   | ≤ 62.5         | 13                   |
   | ≤ 70.5         | 25                   |
   | ≤ 78.5         | 32                   |
   | ≤ 86.5         | 42                   |
   | ≤ 94.5         | 48                   |
   | ≤ 102.5        | 50                   |

**Note:** The frequencies used above are illustrative. You need to input the actual frequencies from your data to complete the distribution accurately.
To create a cumulative frequency distribution with 7 classes, list each class interval and add the frequencies step by step. Here's how: 1. **Define Class Intervals:** - ≤54.5 - 54.5 – ≤62.5 - 62.5 – ≤70.5 - 70.5 – ≤78.5 - 78.5 – ≤86.5 - 86.5 – ≤94.5 - 94.5 – ≤102.5 2. **Add Frequencies:** - ≤54.5: 5 - ≤62.5: 5 + 8 = 13 - ≤70.5: 13 + 12 = 25 - ≤78.5: 25 + 7 = 32 - ≤86.5: 32 + 10 = 42 - ≤94.5: 42 + 6 = 48 - ≤102.5: 48 + 2 = 50 3. **Cumulative Frequency Distribution:** | Class Interval | Cumulative Frequency | |----------------|----------------------| | ≤54.5 | 5 | | ≤62.5 | 13 | | ≤70.5 | 25 | | ≤78.5 | 32 | | ≤86.5 | 42 | | ≤94.5 | 48 | | ≤102.5 | 50 | **Note:** Replace the illustrative frequencies with your actual data for accuracy.

L Question 6 of 11 (2 points) I Question Attempt: 1 of Unlimited Construct a cumulative frequency distribution using 7 classes. Cumulative frequency Less than 54.5 Less than 62.5 Less than 70.5 Less than 78.5 Less than 86.5 Less than 94.5 Less than 1102.5

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