The following table shows the relative percent distribution...

The following table shows the relative percent distribution for the time in seconds that it took 200 children with attention deficit disorder (ADD) to show symptoms of the disorder after a manipulation. Assume that researchers determined that children who showed symptoms of ADD in 18 seconds or less qualified to participate in a new cognitive behavioral therapy trial thought to help reduce ADD symptoms. How many children qualify for this new treatment? Hint: First convert the data to a cumulative frequency distribution.

The following table shows the relative percent distribution for the time in seconds that it took 200 children with attention deficit disorder (ADD) to show symptoms of the disorder after a manipulation.
Assume that researchers determined that children who showed symptoms of ADD in 18 seconds or less qualified to participate in a new cognitive behavioral therapy trial thought to help reduce ADD symptoms. How many children qualify for this new treatment? Hint: First convert the data to a cumulative frequency distribution.

Key Concepts

Determining Eligibility Based on a Cutoff

This concept involves using a specified threshold to identify which observations meet a certain criterion. By employing cumulative frequency data, one can determine how many cases fall within the range that qualifies for a particular treatment or condition, making it a crucial method in applied statistics and data analysis.

Percent to Frequency Conversion

Converting percentages to frequencies involves applying the relative percentages to the total number of observations. This conversion is essential for interpreting the data in terms of actual counts rather than proportions, and is particularly useful when determining how many cases fall under a specific cutoff point.

Relative Frequency Distribution

A relative frequency distribution expresses the proportion or percentage of the total number of observations that fall within each category or interval. It helps in understanding how the data is spread out in relation to the whole dataset rather than using raw counts, thus making it easier to compare different groups or intervals.

Cumulative Frequency Distribution

A cumulative frequency distribution is a running total of frequencies through the classes in an ordered dataset. It shows the number or percentage of observations that fall below the upper boundary of each class, enabling one to determine the position of a particular value within the dataset and to make judgments about thresholds or cutoffs.

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