What would be the cumulative frequency for the class value of 3 in the provided data?
Understand the Problem
The question is asking to find the cumulative frequency for a specific class value, which requires analyzing the provided data to calculate the frequency of occurrences up to that class value.
Answer
The cumulative frequency is represented as $$ 30 $$ for the example class value.
Answer for screen readers
The cumulative frequency for the specified class value, based on the examples used, is represented in LaTeX format as: $$ Cumulative \ Frequency = 30 $$
Steps to Solve
- Identify the Class Value
First, determine which class value you want to calculate the cumulative frequency for. This is your reference point for the frequency counts.
- Collect the Frequency Data
Gather the frequency counts from your data for each class interval. This data is usually presented in a frequency distribution table.
- Sum Frequencies Up to the Class Value
Add together all the frequencies from the intervals that are less than or equal to the specified class value. This will give you the cumulative frequency up to that point.
For example, if your class intervals are:
- 0-10: 5
- 10-20: 10
- 20-30: 15
And you are finding the cumulative frequency for the class value 20-30, you would calculate:
$$ Cumulative \ Frequency = 5 + 10 = 15 $$
- Include Frequency of the Class Value Itself
Finally, add the frequency of the desired class interval to the cumulative total:
Continuing the previous example, the frequency for the class interval 20-30 is 15, so:
$$ Cumulative \ Frequency = 15 + 15 = 30 $$
The cumulative frequency for the specified class value, based on the examples used, is represented in LaTeX format as: $$ Cumulative \ Frequency = 30 $$
More Information
Cumulative frequency helps in understanding how many data points fall below a certain threshold. It is often used in statistical analysis to identify data trends.
Tips
- Forgetting to include the frequency of the specified class interval: Always remember to count the frequency of the class you are interested in when calculating cumulative frequency.
- Misreading the class intervals: Ensure you correctly interpret the intervals; for example, distinguishing between 20-30 and 30-40.
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