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Case managers in a therapeutic foster home agency completed assessments on at-risk youth who are clients of the agency. They assessed for risky behaviors as
- Case managers in a therapeutic foster home agency completed assessments on at-risk youth who are clients of the agency. They assessed for risky behaviors as well as mental health needs. Higher scores indicate greater number of risky behaviors and greater need. Conduct the following analyses on their assessment scores for each subscale.
Score Risky behaviors Cumulative Frequency Mental Health needs Cumulative Frequency 12 22 22 28 28 11 26 48 25 53 10 17 65 25 78 9 33 98 11 89 8 14 112 14 103 7 12 124 12 115 6 10 134 10 125 5 8 142 22 147 4 5 147 9 156 3 6 153 3 159 2 2 155 5 164 1 0 155 0 164 0 0 155 1 165
Score | Risky behaviors | Cumulative Frequency | Mental Health needs | Cumulative Frequency |
12 | 22 | 22 | 28 | 28 |
11 | 26 | 48 | 25 | 53 |
10 | 17 | 65 | 25 | 78 |
9 | 33 | 98 | 11 | 89 |
8 | 14 | 112 | 14 | 103 |
7 | 12 | 124 | 12 | 115 |
6 | 10 | 134 | 10 | 125 |
5 | 8 | 142 | 22 | 147 |
4 | 5 | 147 | 9 | 156 |
3 | 6 | 153 | 3 | 159 |
2 | 2 | 155 | 5 | 164 |
1 | 0 | 155 | 0 | 164 |
0 | 0 | 155 | 1 | 165 |
a. Construct a grouped frequency distribution with interval widths of 3 for both risky behaviors and mental health needs. Include frequencies, cumulative frequencies, percentages, and cumulative percentages.
Risky Behavior
Score | Frequency | Cumulative Frequency | Percentage (to 2 decimal places) | Cumulative Percentage (to 2 decimal places) |
Mental Health Needs
Score | Frequency | Cumulative Frequency | Percentage (to 2 decimal places) | Cumulative Percentage (to 2 decimal places) |
b. What percentage of youth scored 7 or higher on risky behaviors? What percentage of youth scored 6 or lower on mental health?
c.What is the mean and the median of both variables?
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